Analytical Routes to Chaos in Nonlinear Engineering [[electronic resource]] |
Autore | Luo Albert C. J |
Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
Descrizione fisica | 1 online resource (278 p.) |
Disciplina | 629.8/36 |
Soggetto topico |
Chaotic behavior in systems
Nonlinear control theory Nonlinear systems Systems engineering |
ISBN |
1-118-88392-6
1-118-88393-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Chapter 1 Introduction; 1.1 Analytical Methods; 1.1.1 Lagrange Standard Form; 1.1.2 Perturbation Methods; 1.1.3 Method of Averaging; 1.1.4 Generalized Harmonic Balance; 1.2 Book Layout; Chapter 2 Bifurcation Trees in Duffing Oscillators; 2.1 Analytical Solutions; 2.2 Period-1 Motions to Chaos; 2.2.1 Period-1 Motions; 2.2.2 Period-1 to Period-4 Motions; 2.2.3 Numerical Simulations; 2.3 Period-3 Motions to Chaos; 2.3.1 Independent, Symmetric Period-3 Motions; 2.3.2 Asymmetric Period-3 Motions; 2.3.3 Period-3 to Period-6 Motions
2.3.4 Numerical IllustrationsChapter 3 Self-Excited Nonlinear Oscillators; 3.1 van del Pol Oscillators; 3.1.1 Analytical Solutions; 3.1.2 Frequency-Amplitude Characteristics; 3.1.3 Numerical Illustrations; 3.2 van del Pol-Duffing Oscillators; 3.2.1 Finite Fourier Series Solutions; 3.2.2 Analytical Predictions; 3.2.3 Numerical Illustrations; Chapter 4 Parametric Nonlinear Oscillators; 4.1 Parametric, Quadratic Nonlinear Oscillators; 4.1.1 Analytical Solutions; 4.1.2 Analytical Routes to Chaos; 4.1.3 Numerical Simulations; 4.2 Parametric Duffing Oscillators; 4.2.1 Formulations 4.2.2 Parametric Hardening Duffing OscillatorsChapter 5 Nonlinear Jeffcott Rotor Systems; 5.1 Analytical Periodic Motions; 5.2 Frequency-Amplitude Characteristics; 5.2.1 Period-1 Motions; 5.2.2 Analytical Bifurcation Trees; 5.2.3 Independent Period-5 Motion; 5.3 Numerical Simulations; References; Index |
Record Nr. | UNINA-9910132208303321 |
Luo Albert C. J | ||
Hoboken, : Wiley, 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Analytical Routes to Chaos in Nonlinear Engineering |
Autore | Luo Albert C. J |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hoboken, : Wiley, 2014 |
Descrizione fisica | 1 online resource (278 p.) |
Disciplina | 629.8/36 |
Soggetto topico |
Chaotic behavior in systems
Nonlinear control theory Nonlinear systems Systems engineering |
ISBN |
1-118-88392-6
1-118-88393-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Chapter 1 Introduction; 1.1 Analytical Methods; 1.1.1 Lagrange Standard Form; 1.1.2 Perturbation Methods; 1.1.3 Method of Averaging; 1.1.4 Generalized Harmonic Balance; 1.2 Book Layout; Chapter 2 Bifurcation Trees in Duffing Oscillators; 2.1 Analytical Solutions; 2.2 Period-1 Motions to Chaos; 2.2.1 Period-1 Motions; 2.2.2 Period-1 to Period-4 Motions; 2.2.3 Numerical Simulations; 2.3 Period-3 Motions to Chaos; 2.3.1 Independent, Symmetric Period-3 Motions; 2.3.2 Asymmetric Period-3 Motions; 2.3.3 Period-3 to Period-6 Motions
2.3.4 Numerical IllustrationsChapter 3 Self-Excited Nonlinear Oscillators; 3.1 van del Pol Oscillators; 3.1.1 Analytical Solutions; 3.1.2 Frequency-Amplitude Characteristics; 3.1.3 Numerical Illustrations; 3.2 van del Pol-Duffing Oscillators; 3.2.1 Finite Fourier Series Solutions; 3.2.2 Analytical Predictions; 3.2.3 Numerical Illustrations; Chapter 4 Parametric Nonlinear Oscillators; 4.1 Parametric, Quadratic Nonlinear Oscillators; 4.1.1 Analytical Solutions; 4.1.2 Analytical Routes to Chaos; 4.1.3 Numerical Simulations; 4.2 Parametric Duffing Oscillators; 4.2.1 Formulations 4.2.2 Parametric Hardening Duffing OscillatorsChapter 5 Nonlinear Jeffcott Rotor Systems; 5.1 Analytical Periodic Motions; 5.2 Frequency-Amplitude Characteristics; 5.2.1 Period-1 Motions; 5.2.2 Analytical Bifurcation Trees; 5.2.3 Independent Period-5 Motion; 5.3 Numerical Simulations; References; Index |
Record Nr. | UNINA-9910816425303321 |
Luo Albert C. J | ||
Hoboken, : Wiley, 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Bifurcation and Stability in Nonlinear Discrete Systems [[electronic resource] /] / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (X, 313 p. 43 illus., 16 illus. in color.) |
Disciplina | 515.35 |
Collana | Nonlinear Physical Science |
Soggetto topico |
Computational complexity
Dynamics Ergodic theory Vibration Dynamical systems Control engineering Complexity Dynamical Systems and Ergodic Theory Vibration, Dynamical Systems, Control Control and Systems Theory |
ISBN | 981-15-5212-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index. . |
Record Nr. | UNISA-996418178303316 |
Luo Albert C. J | ||
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Bifurcation and Stability in Nonlinear Discrete Systems / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (X, 313 p. 43 illus., 16 illus. in color.) |
Disciplina | 515.35 |
Collana | Nonlinear Physical Science |
Soggetto topico |
Computational complexity
Dynamics Ergodic theory Vibration Dynamical systems Control engineering Complexity Dynamical Systems and Ergodic Theory Vibration, Dynamical Systems, Control Control and Systems Theory |
ISBN | 981-15-5212-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Local Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index. . |
Record Nr. | UNINA-9910427692403321 |
Luo Albert C. J | ||
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Bifurcation and Stability in Nonlinear Dynamical Systems / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
Descrizione fisica | 1 online resource (IX, 395 p. 82 illus., 70 illus. in color.) |
Disciplina |
515.355
515.352 |
Collana | Nonlinear Systems and Complexity |
Soggetto topico |
Differential equations
Vibration Dynamical systems Dynamics Computational complexity Statistical physics Partial differential equations Ordinary Differential Equations Vibration, Dynamical Systems, Control Complexity Applications of Nonlinear Dynamics and Chaos Theory Partial Differential Equations |
ISBN | 3-030-22910-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Stability of equilibriums -- Bifurcation of equilibriums -- Low-dimensional dynamical system -- Equilibrium and higher-singularity -- Low-degree polynomial systems -- (2m)th-degree polynomial systems -- (2m+1)th-degree polynomial systems -- Infinite-equilibrium systems. |
Record Nr. | UNINA-9910370254003321 |
Luo Albert C. J | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Discretization and Implicit Mapping Dynamics / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (316 p.) |
Disciplina | 515.35 |
Collana | Nonlinear Physical Science |
Soggetto topico |
Statistical physics
Difference equations Functional equations Vibration Dynamical systems Dynamics Applications of Nonlinear Dynamics and Chaos Theory Difference and Functional Equations Vibration, Dynamical Systems, Control |
ISBN | 3-662-47275-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator. |
Record Nr. | UNINA-9910300400603321 |
Luo Albert C. J | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Dynamical System Synchronization / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515.39 |
Collana | Nonlinear Systems and Complexity |
Soggetto topico |
Computational complexity
Physics Dynamics Ergodic theory Complexity Applications of Graph Theory and Complex Networks Dynamical Systems and Ergodic Theory |
ISBN | 1-4614-5097-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Discontinuity and Local Singularity -- Single Constraint Synchronization -- Multiple Constraint Synchronization -- Function Synchronization -- Discrete Systems Synchronization. |
Record Nr. | UNINA-9910437904303321 |
Luo Albert C. J | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Galloping Instability to Chaos of Cables / / by Albert C. J. Luo, Bo Yu |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (X, 208 p. 35 illus.) |
Disciplina | 624.171 |
Collana | Nonlinear Physical Science |
Soggetto topico |
Vibration
Dynamical systems Dynamics Statistical physics Vibration, Dynamical Systems, Control Applications of Nonlinear Dynamics and Chaos Theory |
ISBN | 981-10-5242-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910255450903321 |
Luo Albert C. J | ||
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Memorized discrete systems and time-delay / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (X, 298 p. 35 illus., 17 illus. in color.) |
Disciplina | 620 |
Collana | Nonlinear Systems and Complexity |
Soggetto topico |
Computational complexity
Statistical physics System theory Systems biology Econometrics Complexity Applications of Nonlinear Dynamics and Chaos Theory Complex Systems Systems Biology |
ISBN | 3-319-42778-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Memorized Linear Discrete Systems -- Memorized Nonlinear Discrete Systems -- Discretization of Time-delay Systems -- Periodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator. |
Record Nr. | UNINA-9910733734003321 |
Luo Albert C. J | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Periodic Flows to Chaos in Time-delay Systems / / by Albert C. J. Luo |
Autore | Luo Albert C. J |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (X, 198 p. 30 illus., 15 illus. in color.) |
Disciplina | 003.857 |
Collana | Nonlinear Systems and Complexity |
Soggetto topico |
Computational complexity
System theory Statistical physics Complexity Complex Systems Applications of Nonlinear Dynamics and Chaos Theory |
ISBN | 3-319-42664-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Linear Time-delay Systems -- Nonlinear Time-delay System -- Periodic Flows in Time-delay Systems -- Quasiperiodic Flows in Time-delay Systems -- Time-delay Duffing Oscillator. |
Record Nr. | UNINA-9910254175103321 |
Luo Albert C. J | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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