Handbook of chaos control / / edited by Eckehard Schöll and Heinz Georg Schuster |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
Descrizione fisica | 1 online resource (851 p.) |
Disciplina |
003.857
003/.857 |
Soggetto topico |
Nonlinear control theory
Chaotic behavior in systems |
ISBN |
1-281-94681-8
9786611946814 3-527-62231-4 3-527-62232-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Chaos Control; Contents; Preface; List of Contributors; Part I Basic Aspects and Extension of Methods; 1 Controlling Chaos; 1.1 Introduction; 1.2 The OGY Chaos Control; 1.3 Targeting-Steering Chaotic Trajectories; 1.3.1 Part I: Finding a Proper Trajectory; 1.3.2 Part II: Finding a Pseudo-Orbit Trajectory; 1.3.3 The Targeting Algorithm; 1.4 Applying Control of Chaos and Targeting Ideas; 1.4.1 Controlling an Electronic Circuit; 1.4.2 Controlling a Complex System; 1.5 Conclusion; References; 2 Time-Delay Control for Discrete Maps; 2.1 Overview: Why Study Discrete Maps?
2.2 Theme and Variations2.2.1 Rudimentary Time-Delay Feedback; 2.2.2 Extending the Domain of Control; 2.2.3 High-Dimensional Systems; 2.3 Robustness of Time-Delay Stabilization; 2.4 Summary; Acknowledgments; References; 3 An Analytical Treatment of the Delayed Feedback Control Algorithm; 3.1 Introduction; 3.2 Proportional Versus Delayed Feedback; 3.3 Controlling Periodic Orbits Arising from a Period Doubling Bifurcation; 3.3.1 Example: Controlling the Rössler System; 3.4 Control of Forced Self-Sustained Oscillations; 3.4.1 Problem Formulation and Averaged Equation 3.4.2 Periodic Orbits of the Free System3.4.3 Linear Stability of the System Controlled by Delayed Feedback; 3.4.4 Numerical Demonstrations; 3.5 Controlling Torsion-Free Periodic Orbits; 3.5.1 Example: Controlling the Lorenz System at a Subcritical Hopf Bifurcation; 3.6 Conclusions; References; 4 Beyond the Odd-Number Limitation of Time-Delayed Feedback Control; 4.1 Introduction; 4.2 Mechanism of Stabilization; 4.3 Conditions on the Feedback Gain; 4.4 Conclusion; Acknowledgments; Appendix: Calculation of Floquet Exponents; References; 5 On Global Properties of Time-Delayed Feedback Control 5.1 Introduction5.2 A Comment on Control and Root Finding Algorithms; 5.3 Codimension-Two Bifurcations and Basins of Attraction; 5.3.1 The Transition from Super- to Subcritical Behavior; 5.3.2 Probing Basins of Attraction in Experiments; 5.4 A Case Study of Global Features for Time-Delayed Feedback Control; 5.4.1 Analytical Bifurcation Analysis of One-Dimensional Maps; 5.4.2 Dependence of Sub- and Supercritical Behavior on the Observable; 5.4.3 Influence of the Coupling of the Control Force; 5.5 Conclusion; Acknowledgments; Appendix A Normal Form Reduction Appendix B Super- and Subcritical Hopf Bifurcation for MapsReferences; 6 Poincaré-Based Control of Delayed Measured Systems: Limitations and Improved Control; 6.1 Introduction; 6.1.1 The Delay Problem-Time-Discrete Case; 6.1.2 Experimental Setups with Delay; 6.2 Ott-Grebogi-Yorke (OGY) Control; 6.3 Limitations of Unmodified Control and Simple Improved Control Schemes; 6.3.1 Limitations of Unmodified OGY Control in the Presence of Delay; 6.3.2 Stability Diagrams Derived by the Jury Criterion; 6.3.3 Stabilizing Unknown Fixed Points: Limitations of Unmodified Difference Control 6.3.4 Rhythmic Control Schemes: Rhythmic OGY Control |
Record Nr. | UNINA-9910144116403321 |
Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of chaos control / / edited by Eckehard Schöll and Heinz Georg Schuster |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 |
Descrizione fisica | 1 online resource (851 p.) |
Disciplina |
003.857
003/.857 |
Soggetto topico |
Nonlinear control theory
Chaotic behavior in systems |
ISBN |
1-281-94681-8
9786611946814 3-527-62231-4 3-527-62232-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Chaos Control; Contents; Preface; List of Contributors; Part I Basic Aspects and Extension of Methods; 1 Controlling Chaos; 1.1 Introduction; 1.2 The OGY Chaos Control; 1.3 Targeting-Steering Chaotic Trajectories; 1.3.1 Part I: Finding a Proper Trajectory; 1.3.2 Part II: Finding a Pseudo-Orbit Trajectory; 1.3.3 The Targeting Algorithm; 1.4 Applying Control of Chaos and Targeting Ideas; 1.4.1 Controlling an Electronic Circuit; 1.4.2 Controlling a Complex System; 1.5 Conclusion; References; 2 Time-Delay Control for Discrete Maps; 2.1 Overview: Why Study Discrete Maps?
2.2 Theme and Variations2.2.1 Rudimentary Time-Delay Feedback; 2.2.2 Extending the Domain of Control; 2.2.3 High-Dimensional Systems; 2.3 Robustness of Time-Delay Stabilization; 2.4 Summary; Acknowledgments; References; 3 An Analytical Treatment of the Delayed Feedback Control Algorithm; 3.1 Introduction; 3.2 Proportional Versus Delayed Feedback; 3.3 Controlling Periodic Orbits Arising from a Period Doubling Bifurcation; 3.3.1 Example: Controlling the Rössler System; 3.4 Control of Forced Self-Sustained Oscillations; 3.4.1 Problem Formulation and Averaged Equation 3.4.2 Periodic Orbits of the Free System3.4.3 Linear Stability of the System Controlled by Delayed Feedback; 3.4.4 Numerical Demonstrations; 3.5 Controlling Torsion-Free Periodic Orbits; 3.5.1 Example: Controlling the Lorenz System at a Subcritical Hopf Bifurcation; 3.6 Conclusions; References; 4 Beyond the Odd-Number Limitation of Time-Delayed Feedback Control; 4.1 Introduction; 4.2 Mechanism of Stabilization; 4.3 Conditions on the Feedback Gain; 4.4 Conclusion; Acknowledgments; Appendix: Calculation of Floquet Exponents; References; 5 On Global Properties of Time-Delayed Feedback Control 5.1 Introduction5.2 A Comment on Control and Root Finding Algorithms; 5.3 Codimension-Two Bifurcations and Basins of Attraction; 5.3.1 The Transition from Super- to Subcritical Behavior; 5.3.2 Probing Basins of Attraction in Experiments; 5.4 A Case Study of Global Features for Time-Delayed Feedback Control; 5.4.1 Analytical Bifurcation Analysis of One-Dimensional Maps; 5.4.2 Dependence of Sub- and Supercritical Behavior on the Observable; 5.4.3 Influence of the Coupling of the Control Force; 5.5 Conclusion; Acknowledgments; Appendix A Normal Form Reduction Appendix B Super- and Subcritical Hopf Bifurcation for MapsReferences; 6 Poincaré-Based Control of Delayed Measured Systems: Limitations and Improved Control; 6.1 Introduction; 6.1.1 The Delay Problem-Time-Discrete Case; 6.1.2 Experimental Setups with Delay; 6.2 Ott-Grebogi-Yorke (OGY) Control; 6.3 Limitations of Unmodified Control and Simple Improved Control Schemes; 6.3.1 Limitations of Unmodified OGY Control in the Presence of Delay; 6.3.2 Stability Diagrams Derived by the Jury Criterion; 6.3.3 Stabilizing Unknown Fixed Points: Limitations of Unmodified Difference Control 6.3.4 Rhythmic Control Schemes: Rhythmic OGY Control |
Record Nr. | UNINA-9910830556403321 |
Weinheim, [Germany] : , : Wiley-VCH Verlag GmbH & Co. KGaA, , 2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (419 p.) |
Disciplina |
003
511.5 |
Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
Record Nr. | UNINA-9910145913003321 |
Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of graphs and networks [[electronic resource] ] : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (419 p.) |
Disciplina |
003
511.5 |
Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
Record Nr. | UNINA-9910830019403321 |
Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Handbook of graphs and networks : from the Genome to the Internet / / Stefan Bornholdt, Heinz Georg Schuster (eds.) |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (419 p.) |
Disciplina |
003
511.5 |
Altri autori (Persone) |
BornholdtStefan
SchusterHeinz Georg <1943-> |
Soggetto topico |
System analysis
Graph theory Combinatorial analysis |
ISBN |
1-280-52099-X
9786610520992 3-527-60633-5 3-527-60275-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Handbook of Graphs and Networks From the Genome to the Internet; Preface; Contents; List of contributors; 1 Mathematical results on scale-free random graphs; 1.1 Introduction; 1.2 Classical models of random graphs; 1.3 Results for classical random graphs; 1.4 The Watts-Strogatz 'small-world' model; 1.5 Scale-free models; 1.6 The Barabási-Albert model; 1.7 The LCD model and G((n))(m); 1.8 The Buckley-Osthus model; 1.9 The copying model; 1.10 The Cooper-Frieze model; 1.11 Directed scale-free graphs; 1.12 Clustering coefficient and small subgraphs
1.13 Pairings on [0, 1] and the diameter of the LCD model1.14 Robustness and vulnerability; 1.15 The case [0, 1]: plane-oriented recursive trees; 1.16 Conclusion; References; 2 Random graphs as models of networks; 2.1 Introduction; 2.2 Random graphs with specified degree distributions; 2.3 Probability generating functions; 2.3.1 Properties of generating functions; 2.3.2 Examples; 2.4 Properties of undirected graphs; 2.4.1 Distribution of component sizes; 2.4.2 Mean component size; 2.4.3 Above the phase transition; 2.5 Properties of directed graphs; 2.5.1 Generating functions; 2.5.2 Results 2.6 Networks with clustering2.7 Models defined on random graphs; 2.7.1 Network resilience; 2.7.2 Epidemiology; 2.7.3 The SIR model; 2.7.4 Solution of the SIR model; 2.8 Summary; References; 3 Emergence of scaling in complex networks; 3.1 Introduction; 3.2 Network models; 3.2.1 Random networks; 3.2.2 Scale-free networks; 3.2.3 Scale-free model; 3.3 Fitness model and Bose-Einstein condensation; 3.4 The Achilles' Heel of complex networks; 3.5 A deterministic scale-free model; 3.6 Outlook; 3.7 Acknowledgments; References; 4 Structural properties of scale-free networks; 4.1 Introduction 4.1.1 Random graphs4.1.2 Scale-free networks; 4.2 Small and Ultra-small worlds; 4.2.1 Diameter of scale-free networks; 4.2.2 Minimal graphs and lower bound; 4.2.3 The general case of random scale-free networks; 4.3 Percolation; 4.3.1 Random breakdown; 4.3.2 Percolation critical threshold; 4.3.3 Generating functions; 4.3.4 Intentional attack; 4.3.5 Critical exponents; 4.3.6 Fractal dimension; 4.4 Percolation in directed networks; 4.4.1 Threshold; 4.4.2 Critical exponents; 4.5 Efficient immunization strategies; 4.5.1 Acquaintance immunization; 4.6 Summary and outlook; References 5 Epidemics and immunization in scale-free networks5.1 Introduction; 5.2 Computers and epidemiology; 5.3 Epidemic spreading in homogeneous networks; 5.4 Real data analysis; 5.5 Epidemic spreading in scale-free networks; 5.5.1 Analytic solution for the Barabási-Albert network; 5.5.2 Finite size scale-free networks; 5.6 Immunization of scale-free networks; 5.6.1 Uniform immunization; 5.6.2 Targeted immunization; 5.7 Conclusions; References; 6 Cells and genes as networks in nematode development and evolution; 6.1 Introduction 6.2 Nematode developmental biology: studying processes at a cellular level |
Record Nr. | UNINA-9910876774403321 |
Weinheim ; ; [Cambridge], : Wiley-VCH, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics of nanosystems [[electronic resource] /] / edited by Günter Radons, Benno Rumpf, and Heinz Georg Schuster |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 |
Descrizione fisica | 1 online resource (487 p.) |
Disciplina | 620.501515 |
Altri autori (Persone) |
RadonsG (Günter)
RumpfBenno SchusterHeinz Georg <1943-> |
Soggetto topico |
Nanotechnology
Nonlinear theories |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-68832-4
9786612688324 3-527-62937-8 3-527-62938-6 |
Classificazione |
UG 3900
33.27 53.55 MAT 344f PHY 704f TEC 030f |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Nonlinear Dynamics of Nanosystems; List of Contributors; Contents; Preface; Part I Fluctuations; 1 Nonequilibrium Nanosystems; 2 Thermodynamics of Small Systems; 3 Quantum Dissipative Ratchets; Part II Surface Effects; 4 Dynamics of Nanoscopic Capillary Waves; 5 Nonlinear Dynamics of Surface Steps; 6 Casimir Forces and Geometry in Nanosystems; Part III Nanoelectromechanics; 7 The Duffing Oscillator for Nanoelectromechanical Systems; 8 Nonlinear Dynamics of Nanomechanical Resonators; 9 Nonlinear Dynamics in Atomic Force Microscopy and Its Control for Nanoparticle Manipulation
Part IV Nanoelectronics10 Classical Correlations and Quantum Interference in Ballistic Conductors; 11 Nonlinear Response of Driven Mesoscopic Conductors; 12 Pattern Formation and Time Delayed Feedback Control at the Nanoscale; Part V Optic-Electronic Coupling; 13 Laser-Assisted Electron Transport in Nanoscale Devices; 14 Two-Photon Photoemission of Plasmonic Nanostructures with High Temporal and Lateral Resolution; 15 Dynamics and Nonlinear Light Propagation in Complex Photonic Lattices; Index |
Record Nr. | UNINA-9910139473703321 |
Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics of nanosystems [[electronic resource] /] / edited by Günter Radons, Benno Rumpf, and Heinz Georg Schuster |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 |
Descrizione fisica | 1 online resource (487 p.) |
Disciplina | 620.501515 |
Altri autori (Persone) |
RadonsG (Günter)
RumpfBenno SchusterHeinz Georg <1943-> |
Soggetto topico |
Nanotechnology
Nonlinear theories |
ISBN |
1-282-68832-4
9786612688324 3-527-62937-8 3-527-62938-6 |
Classificazione |
UG 3900
33.27 53.55 MAT 344f PHY 704f TEC 030f |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Nonlinear Dynamics of Nanosystems; List of Contributors; Contents; Preface; Part I Fluctuations; 1 Nonequilibrium Nanosystems; 2 Thermodynamics of Small Systems; 3 Quantum Dissipative Ratchets; Part II Surface Effects; 4 Dynamics of Nanoscopic Capillary Waves; 5 Nonlinear Dynamics of Surface Steps; 6 Casimir Forces and Geometry in Nanosystems; Part III Nanoelectromechanics; 7 The Duffing Oscillator for Nanoelectromechanical Systems; 8 Nonlinear Dynamics of Nanomechanical Resonators; 9 Nonlinear Dynamics in Atomic Force Microscopy and Its Control for Nanoparticle Manipulation
Part IV Nanoelectronics10 Classical Correlations and Quantum Interference in Ballistic Conductors; 11 Nonlinear Response of Driven Mesoscopic Conductors; 12 Pattern Formation and Time Delayed Feedback Control at the Nanoscale; Part V Optic-Electronic Coupling; 13 Laser-Assisted Electron Transport in Nanoscale Devices; 14 Two-Photon Photoemission of Plasmonic Nanostructures with High Temporal and Lateral Resolution; 15 Dynamics and Nonlinear Light Propagation in Complex Photonic Lattices; Index |
Record Nr. | UNINA-9910830494503321 |
Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics of nanosystems / / edited by Gunter Radons, Benno Rumpf, and Heinz Georg Schuster |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 |
Descrizione fisica | 1 online resource (487 p.) |
Disciplina | 620.501515 |
Altri autori (Persone) |
RadonsG (Gunter)
RumpfBenno SchusterHeinz Georg <1943-> |
Soggetto topico |
Nanotechnology
Nonlinear theories |
ISBN |
1-282-68832-4
9786612688324 3-527-62937-8 3-527-62938-6 |
Classificazione |
UG 3900
33.27 53.55 MAT 344f PHY 704f TEC 030f |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Nonlinear Dynamics of Nanosystems; List of Contributors; Contents; Preface; Part I Fluctuations; 1 Nonequilibrium Nanosystems; 2 Thermodynamics of Small Systems; 3 Quantum Dissipative Ratchets; Part II Surface Effects; 4 Dynamics of Nanoscopic Capillary Waves; 5 Nonlinear Dynamics of Surface Steps; 6 Casimir Forces and Geometry in Nanosystems; Part III Nanoelectromechanics; 7 The Duffing Oscillator for Nanoelectromechanical Systems; 8 Nonlinear Dynamics of Nanomechanical Resonators; 9 Nonlinear Dynamics in Atomic Force Microscopy and Its Control for Nanoparticle Manipulation
Part IV Nanoelectronics10 Classical Correlations and Quantum Interference in Ballistic Conductors; 11 Nonlinear Response of Driven Mesoscopic Conductors; 12 Pattern Formation and Time Delayed Feedback Control at the Nanoscale; Part V Optic-Electronic Coupling; 13 Laser-Assisted Electron Transport in Nanoscale Devices; 14 Two-Photon Photoemission of Plasmonic Nanostructures with High Temporal and Lateral Resolution; 15 Dynamics and Nonlinear Light Propagation in Complex Photonic Lattices; Index |
Record Nr. | UNINA-9910876926003321 |
Weinheim, : Wiley-VCH Verlag GmbH & Co., 2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Reviews of nonlinear dynamics and complexity . Volume 3 [[electronic resource] /] / edited by Heinz Georg Schuster |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 003.75 |
Altri autori (Persone) | SchusterHeinz Georg <1943-> |
Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
Soggetto topico |
Nonlinear theories
Computational complexity |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-71239-X
9786612712395 3-527-63096-1 3-527-63097-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 The Chaos Computing Paradigm; 1.1 Brief History of Computers; 1.2 The Conceptualization, Foundations, Design and Implementation of Current Computer Architectures; 1.3 Limits of Binary Computers and Alternative Approaches to Computation: What Lies Beyond Moore's Law?; 1.4 Exploiting Nonlinear Dynamics for Computations; 1.5 General Concept; 1.6 Continuous-Time Nonlinear System; 1.7 Proof-of-Principle Experiments; 1.7.1 Discrete-Time Nonlinear System; 1.7.2 Continuous-Time Nonlinear System
1.8 Logic from Nonlinear Evolution: Dynamical Logic Outputs1.8.1 Implementation of Half- and Full-Adder Operations; 1.9 Exploiting Nonlinear Dynamics to Store and Process Information; 1.9.1 Encoding Information; 1.9.2 Processing Information; 1.9.3 Representative Example; 1.9.4 Implementation of the Search Method with Josephson Junctions; 1.9.5 Discussions; 1.10 VLSI Implementation of Chaotic Computing Architectures: Proof of Concept; 1.11 Conclusions; References; 2 How Does God Play Dice?; 2.1 Introduction; 2.2 Model; 2.2.1 Bounce Map with Dissipation 2.3 Phase Space Structure: Poincaré Section2.4 Orientation Flip Diagrams; 2.5 Bounce Diagrams; 2.6 Summary and Conclusions; 2.7 Acknowledgments; References; 3 Phase Reduction of Stochastic Limit-Cycle Oscillators; 3.1 Introduction; 3.2 Phase Description of Oscillator; 3.3 Oscillator with White Gaussian Noise; 3.3.1 Stochastic Phase Equation; 3.3.2 Derivation; 3.3.3 Steady Phase Distribution and Frequency; 3.3.4 Numerical Examples; 3.4 Oscillator with Ornstein-Uhlenbeck Noise; 3.4.1 Generalized Stochastic Phase Equation; 3.4.2 Derivation; 3.4.3 Steady Phase Distribution and Frequency 3.4.4 Numerical Examples3.4.5 Phase Equation in Some Limits; 3.5 Noise effect on entrainment; 3.5.1 Periodically Driven Oscillator with White Gaussian Noise; 3.5.2 Periodically Driven Oscillator with Ornstein-Uhlenbeck Noise; 3.5.3 Conjecture; 3.6 Summary; References; 4 Complex Systems, numbers and Number Theory; 4.1 A Statistical Pattern in the Prime Number Sequence; 4.1.1 Benford's Law and Generalized Benford's Law; 4.1.2 Are the First-Digit Frequencies of Prime Numbers Benford Distributed?; 4.1.3 Prime Number Theorem Versus Size-Dependent Generalized Benford's Law 4.1.4 The Primes Counting Function L(N)4.1.5 Remarks; 4.2 Phase Transition in Numbers: the Stochastic Prime Number Generator; 4.2.1 Phase Transition; 4.2.1.1 Network Image and Order Parameter; 4.2.1.2 Annealed Approximation; 4.2.1.3 Data Collapse; 4.2.2 Computational Complexity; 4.2.2.1 Worst-Case Classification; 4.2.2.2 Easy-Hard-Easy Pattern; 4.2.2.3 Average-Case Classification; 4.3 Self-Organized Criticality in Number Systems: Topology Induces Criticality; 4.3.1 The Division Model; 4.3.2 Division Dynamics and SOC; 4.3.3 Analytical Developments: Statistical Physics Versus Number Theory 4.3.4 A More General Class of Models |
Record Nr. | UNINA-9910140731303321 |
Weinheim, : Wiley-VCH | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Reviews of nonlinear dynamics and complexity . Volume 3 [[electronic resource] /] / edited by Heinz Georg Schuster |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 003.75 |
Altri autori (Persone) | SchusterHeinz Georg <1943-> |
Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
Soggetto topico |
Nonlinear theories
Computational complexity |
ISBN |
1-282-71239-X
9786612712395 3-527-63096-1 3-527-63097-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 The Chaos Computing Paradigm; 1.1 Brief History of Computers; 1.2 The Conceptualization, Foundations, Design and Implementation of Current Computer Architectures; 1.3 Limits of Binary Computers and Alternative Approaches to Computation: What Lies Beyond Moore's Law?; 1.4 Exploiting Nonlinear Dynamics for Computations; 1.5 General Concept; 1.6 Continuous-Time Nonlinear System; 1.7 Proof-of-Principle Experiments; 1.7.1 Discrete-Time Nonlinear System; 1.7.2 Continuous-Time Nonlinear System
1.8 Logic from Nonlinear Evolution: Dynamical Logic Outputs1.8.1 Implementation of Half- and Full-Adder Operations; 1.9 Exploiting Nonlinear Dynamics to Store and Process Information; 1.9.1 Encoding Information; 1.9.2 Processing Information; 1.9.3 Representative Example; 1.9.4 Implementation of the Search Method with Josephson Junctions; 1.9.5 Discussions; 1.10 VLSI Implementation of Chaotic Computing Architectures: Proof of Concept; 1.11 Conclusions; References; 2 How Does God Play Dice?; 2.1 Introduction; 2.2 Model; 2.2.1 Bounce Map with Dissipation 2.3 Phase Space Structure: Poincaré Section2.4 Orientation Flip Diagrams; 2.5 Bounce Diagrams; 2.6 Summary and Conclusions; 2.7 Acknowledgments; References; 3 Phase Reduction of Stochastic Limit-Cycle Oscillators; 3.1 Introduction; 3.2 Phase Description of Oscillator; 3.3 Oscillator with White Gaussian Noise; 3.3.1 Stochastic Phase Equation; 3.3.2 Derivation; 3.3.3 Steady Phase Distribution and Frequency; 3.3.4 Numerical Examples; 3.4 Oscillator with Ornstein-Uhlenbeck Noise; 3.4.1 Generalized Stochastic Phase Equation; 3.4.2 Derivation; 3.4.3 Steady Phase Distribution and Frequency 3.4.4 Numerical Examples3.4.5 Phase Equation in Some Limits; 3.5 Noise effect on entrainment; 3.5.1 Periodically Driven Oscillator with White Gaussian Noise; 3.5.2 Periodically Driven Oscillator with Ornstein-Uhlenbeck Noise; 3.5.3 Conjecture; 3.6 Summary; References; 4 Complex Systems, numbers and Number Theory; 4.1 A Statistical Pattern in the Prime Number Sequence; 4.1.1 Benford's Law and Generalized Benford's Law; 4.1.2 Are the First-Digit Frequencies of Prime Numbers Benford Distributed?; 4.1.3 Prime Number Theorem Versus Size-Dependent Generalized Benford's Law 4.1.4 The Primes Counting Function L(N)4.1.5 Remarks; 4.2 Phase Transition in Numbers: the Stochastic Prime Number Generator; 4.2.1 Phase Transition; 4.2.1.1 Network Image and Order Parameter; 4.2.1.2 Annealed Approximation; 4.2.1.3 Data Collapse; 4.2.2 Computational Complexity; 4.2.2.1 Worst-Case Classification; 4.2.2.2 Easy-Hard-Easy Pattern; 4.2.2.3 Average-Case Classification; 4.3 Self-Organized Criticality in Number Systems: Topology Induces Criticality; 4.3.1 The Division Model; 4.3.2 Division Dynamics and SOC; 4.3.3 Analytical Developments: Statistical Physics Versus Number Theory 4.3.4 A More General Class of Models |
Record Nr. | UNINA-9910830681203321 |
Weinheim, : Wiley-VCH | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|