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Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen
| Applying Power Series to Differential Equations [[electronic resource] ] : An Exploration through Questions and Projects / / by James Sochacki, Anthony Tongen |
| Autore | Sochacki James |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) |
| Disciplina | 515.35 |
| Collana | Problem Books in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Dynamics Nonlinear theories Algebraic fields Polynomials Differential Equations Sequences, Series, Summability Applied Dynamical Systems Field Theory and Polynomials Equacions diferencials Successions (Matemàtica) Dinàmica Teories no lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24587-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction: The Linear ODE: x′ = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x′ = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x′ = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x′ = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x′′ = −xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton’s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x′ = −y + ax2 + bxy + cy2 ; y′ = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z′ = az2 + bz + c -- Chapter 11. Egg 10: Newton’s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers’ Equation -- References. |
| Record Nr. | UNISA-996518463403316 |
Sochacki James
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Assessing surprises and nonlinearities in greenhouse warming : proceedings of an interdisciplinary workshop / / edited by Joel Darmstadter and Michael A. Toman
| Assessing surprises and nonlinearities in greenhouse warming : proceedings of an interdisciplinary workshop / / edited by Joel Darmstadter and Michael A. Toman |
| Pubbl/distr/stampa | Abingdon, Oxon ; ; New York : , : Routledge, , 2016 |
| Descrizione fisica | 1 online resource (171 p.) |
| Disciplina | 551.6 |
| Altri autori (Persone) |
DarmstadterJoel <1928->
TomanMichael A |
| Collana | Routledge Revivals |
| Soggetto topico |
Climatic changes
Global warming Greenhouse effect, Atmospheric Nonlinear theories |
| ISBN |
1-315-66719-3
1-317-35737-X 1-317-35738-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Nonlinearities and surprises in climate change : an introduction and overview / Joel Darmstadter and Michael A. Toman -- Facts and uncertainties of climate change / Norman J. Rosenberg -- Nonlinearities and surprises in the links of farming to climate or weather / Paul E. Waggoner -- What are nonlinear responses at the biome level? / James S. Clark and Chantal D. Reid -- The importance of nonlinearities in global warming damage costs / Stephen C. Peck and Thomas J. Teisberg -- Sorting out facts and uncertainties in economic response to the physical effects of global climate change / Gary W. Yohe -- Assessing climate change risks : valuation of effects / Anthony C. Fisher and W. Michael Hanemann. |
| Record Nr. | UNINA-9910797785403321 |
| Abingdon, Oxon ; ; New York : , : Routledge, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Assessing surprises and nonlinearities in greenhouse warming : proceedings of an interdisciplinary workshop / / edited by Joel Darmstadter and Michael A. Toman
| Assessing surprises and nonlinearities in greenhouse warming : proceedings of an interdisciplinary workshop / / edited by Joel Darmstadter and Michael A. Toman |
| Pubbl/distr/stampa | Abingdon, Oxon ; ; New York : , : Routledge, , 2016 |
| Descrizione fisica | 1 online resource (171 p.) |
| Disciplina | 551.6 |
| Altri autori (Persone) |
DarmstadterJoel <1928->
TomanMichael A |
| Collana | Routledge Revivals |
| Soggetto topico |
Climatic changes
Global warming Greenhouse effect, Atmospheric Nonlinear theories |
| ISBN |
1-315-66719-3
1-317-35737-X 1-317-35738-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Nonlinearities and surprises in climate change : an introduction and overview / Joel Darmstadter and Michael A. Toman -- Facts and uncertainties of climate change / Norman J. Rosenberg -- Nonlinearities and surprises in the links of farming to climate or weather / Paul E. Waggoner -- What are nonlinear responses at the biome level? / James S. Clark and Chantal D. Reid -- The importance of nonlinearities in global warming damage costs / Stephen C. Peck and Thomas J. Teisberg -- Sorting out facts and uncertainties in economic response to the physical effects of global climate change / Gary W. Yohe -- Assessing climate change risks : valuation of effects / Anthony C. Fisher and W. Michael Hanemann. |
| Record Nr. | UNINA-9910808184103321 |
| Abingdon, Oxon ; ; New York : , : Routledge, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Basics of nonlinearities in mathematical sciences / / Dilip Kumar Sinha [[electronic resource]]
| Basics of nonlinearities in mathematical sciences / / Dilip Kumar Sinha [[electronic resource]] |
| Autore | Sinha D. K (Dilip Kumar), <1940-> |
| Pubbl/distr/stampa | London : , : Anthem Press, , 2006 |
| Descrizione fisica | 1 online resource (323 pages) : digital, PDF file(s) |
| Disciplina | 515.35 |
| Collana | Anthem studies in science, technology, and mathematics |
| Soggetto topico | Nonlinear theories |
| ISBN |
1-283-37868-X
9786613378682 1-84331-356-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preamble -- Motivation -- Recapturing linear ordinary differential equations -- Linear systems : qualitative behaviour -- Stability studies -- Study of equilibria : another approach -- Non-linear vis a vis linear systems -- Stability aspects : Liapunov's direct method -- Manifolds : introduction and applications in nonlinearity studies -- Periodicity : orbits, limit cycles, Poincare map -- Bifurcations : a prelude -- Catastrophes : a prelude -- Theorizing, further, bifurcations and catastrophes -- Dynamical systems -- Epilogue. |
| Record Nr. | UNINA-9910459222603321 |
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Sinha D. K (Dilip Kumar), <1940->
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| London : , : Anthem Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin
| Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin |
| Autore | Wu Yong |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | LinYi <1959-> |
| Soggetto topico | Nonlinear theories |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-809-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Chapter 1 Introduction ; 1.1 Scientific Discoveries ; 1.2 Nonlinear Science ; 1.3 Some Ancient Thoughts of the East and the West ; 1.4 Determinacy and Randomness ; 1.5 Equal Quantitative Effects ; 1.6 Organization of This Book ; 1.7 References
Chapter 2 Nonlinearity: The Conclusion of Calculus 2.1 A Brief History of Calculus ; 2.2 The Method of Differential Analysis ; 2.2.1 Functions and Their Properties ; 2.2.1.1 Representations of Functions ; 2.2.1.2 General Properties of Function ; 2.2.2 Limits of Functions 2.2.3 Continuous Functions 2.2.4 The Concept and Properties of Differentials ; 2.3 The Well-Posedness and Singularity of Differential Equations ; 2.4 Discontinuity: The Mathematical Characteristic of Nonlinear Evolutions ; 2.5 Question the Traditional Treatments of Nonlinearity 2.5.1 Linearization 2.5.2 Stabilization ; 2.5.3 Comparison between Spectral Method and Numerical Schemes ; 2.5.4 Limitations of Lyapunov Exponents ; 2.6 References ; Chapter 3 Blown-Up Theory: The Beginning of the Era of Discontinuity ; 3.1 Looking at Whole Evolutions 3.2 Mathematical Physics Meanings of Blown-Ups 3.3 Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups ; 3.3.1 Blown-Ups of Quadratic Nonlinear Models ; 3.3.2 Blown-Ups of Cubic Polynomial Models ; 3.3.3 Blown-Ups of nth Degree Polynomial Models 3.3.4 Blown-Ups of Higher Order Nonlinear Evolution Systems |
| Record Nr. | UNINA-9910451302703321 |
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Wu Yong
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| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin
| Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin |
| Autore | Wu Yong |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | LinYi <1959-> |
| Soggetto topico | Nonlinear theories |
| ISBN | 981-277-809-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Chapter 1 Introduction ; 1.1 Scientific Discoveries ; 1.2 Nonlinear Science ; 1.3 Some Ancient Thoughts of the East and the West ; 1.4 Determinacy and Randomness ; 1.5 Equal Quantitative Effects ; 1.6 Organization of This Book ; 1.7 References
Chapter 2 Nonlinearity: The Conclusion of Calculus 2.1 A Brief History of Calculus ; 2.2 The Method of Differential Analysis ; 2.2.1 Functions and Their Properties ; 2.2.1.1 Representations of Functions ; 2.2.1.2 General Properties of Function ; 2.2.2 Limits of Functions 2.2.3 Continuous Functions 2.2.4 The Concept and Properties of Differentials ; 2.3 The Well-Posedness and Singularity of Differential Equations ; 2.4 Discontinuity: The Mathematical Characteristic of Nonlinear Evolutions ; 2.5 Question the Traditional Treatments of Nonlinearity 2.5.1 Linearization 2.5.2 Stabilization ; 2.5.3 Comparison between Spectral Method and Numerical Schemes ; 2.5.4 Limitations of Lyapunov Exponents ; 2.6 References ; Chapter 3 Blown-Up Theory: The Beginning of the Era of Discontinuity ; 3.1 Looking at Whole Evolutions 3.2 Mathematical Physics Meanings of Blown-Ups 3.3 Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups ; 3.3.1 Blown-Ups of Quadratic Nonlinear Models ; 3.3.2 Blown-Ups of Cubic Polynomial Models ; 3.3.3 Blown-Ups of nth Degree Polynomial Models 3.3.4 Blown-Ups of Higher Order Nonlinear Evolution Systems |
| Record Nr. | UNINA-9910784818103321 |
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Wu Yong
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| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin
| Beyond nonstructural quantitative analysis [[electronic resource] ] : blown-ups, spinning currents, and modern science / / Yong Wu, Yi Lin |
| Autore | Wu Yong |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (344 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | LinYi <1959-> |
| Soggetto topico | Nonlinear theories |
| ISBN | 981-277-809-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Chapter 1 Introduction ; 1.1 Scientific Discoveries ; 1.2 Nonlinear Science ; 1.3 Some Ancient Thoughts of the East and the West ; 1.4 Determinacy and Randomness ; 1.5 Equal Quantitative Effects ; 1.6 Organization of This Book ; 1.7 References
Chapter 2 Nonlinearity: The Conclusion of Calculus 2.1 A Brief History of Calculus ; 2.2 The Method of Differential Analysis ; 2.2.1 Functions and Their Properties ; 2.2.1.1 Representations of Functions ; 2.2.1.2 General Properties of Function ; 2.2.2 Limits of Functions 2.2.3 Continuous Functions 2.2.4 The Concept and Properties of Differentials ; 2.3 The Well-Posedness and Singularity of Differential Equations ; 2.4 Discontinuity: The Mathematical Characteristic of Nonlinear Evolutions ; 2.5 Question the Traditional Treatments of Nonlinearity 2.5.1 Linearization 2.5.2 Stabilization ; 2.5.3 Comparison between Spectral Method and Numerical Schemes ; 2.5.4 Limitations of Lyapunov Exponents ; 2.6 References ; Chapter 3 Blown-Up Theory: The Beginning of the Era of Discontinuity ; 3.1 Looking at Whole Evolutions 3.2 Mathematical Physics Meanings of Blown-Ups 3.3 Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups ; 3.3.1 Blown-Ups of Quadratic Nonlinear Models ; 3.3.2 Blown-Ups of Cubic Polynomial Models ; 3.3.3 Blown-Ups of nth Degree Polynomial Models 3.3.4 Blown-Ups of Higher Order Nonlinear Evolution Systems |
| Record Nr. | UNINA-9910811743603321 |
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Wu Yong
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| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Building a Low-Carbon Future [[electronic resource] ] : Adaptive Control Strategies for Distributed Energy Networks / / by Jiayue Sun, Meina Zhai, Shu Liu, Peng Shi
| Building a Low-Carbon Future [[electronic resource] ] : Adaptive Control Strategies for Distributed Energy Networks / / by Jiayue Sun, Meina Zhai, Shu Liu, Peng Shi |
| Autore | Sun Jiayue |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (132 pages) |
| Disciplina | 620 |
| Altri autori (Persone) |
ZhaiMeina
LiuShu ShiPeng |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Dynamics Nonlinear theories Mathematical and Computational Engineering Applications Applied Dynamical Systems Engineering Mathematics |
| ISBN | 3-031-43498-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Cooperative Event-Triggered Fault-Tolerant Voltage -- Fully Distributed Fault-Tolerant Event-Triggered Control -- Output-Feedback Consensus Fault-Tolerant Control -- Secondary Load Voltage and Frequency Fault-Tolerant -- Distributed Critical Bus Voltage Regulation Control for. |
| Record Nr. | UNINA-9910845489503321 |
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Sun Jiayue
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Cancer, Complexity, Computation [[electronic resource] /] / edited by Igor Balaz, Andrew Adamatzky
| Cancer, Complexity, Computation [[electronic resource] /] / edited by Igor Balaz, Andrew Adamatzky |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (349 pages) |
| Disciplina | 610.28 |
| Collana | Emergence, Complexity and Computation |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Dynamics Nonlinear theories Cancer - Animal models Mathematical and Computational Engineering Applications Applied Dynamical Systems Cancer Models Enginyeria biomèdica Tumors Resistència als medicaments |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-04379-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | What Cancer Is by J. James Frost -- Complementarity, Complexity and the Fokker-Planck Equation; From the Microscale Quantum Stochastic Events to Fractal Dynamics of Cancer -- Quantitative in vivo Imaging to Enable Tumor Forecasting and Treatment Optimization. |
| Record Nr. | UNINA-9910586588803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Cancer, Complexity, Computation [[electronic resource] /] / edited by Igor Balaz, Andrew Adamatzky
| Cancer, Complexity, Computation [[electronic resource] /] / edited by Igor Balaz, Andrew Adamatzky |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (349 pages) |
| Disciplina | 610.28 |
| Collana | Emergence, Complexity and Computation |
| Soggetto topico |
Engineering mathematics
Engineering - Data processing Dynamics Nonlinear theories Cancer - Animal models Mathematical and Computational Engineering Applications Applied Dynamical Systems Cancer Models Enginyeria biomèdica Tumors Resistència als medicaments |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-04379-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | What Cancer Is by J. James Frost -- Complementarity, Complexity and the Fokker-Planck Equation; From the Microscale Quantum Stochastic Events to Fractal Dynamics of Cancer -- Quantitative in vivo Imaging to Enable Tumor Forecasting and Treatment Optimization. |
| Record Nr. | UNISA-996485662103316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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