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Bifurcation dynamics in polynomial discrete systems / / Albert C. J. Luo
| Bifurcation dynamics in polynomial discrete systems / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XI, 430 p. 68 illus., 66 illus. in color.) |
| Disciplina | 511.3 |
| Collana | Nonlinear physical science |
| Soggetto topico |
Computational complexity
Dynamics Ergodic theory |
| ISBN | 981-15-5208-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index. . |
| Record Nr. | UNINA-9910427673903321 |
Luo Albert C. J.
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| Singapore : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Bifurcation dynamics in polynomial discrete systems / / Albert C. J. Luo
| Bifurcation dynamics in polynomial discrete systems / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2020] |
| Descrizione fisica | 1 online resource (XI, 430 p. 68 illus., 66 illus. in color.) |
| Disciplina | 511.3 |
| Collana | Nonlinear physical science |
| Soggetto topico |
Computational complexity
Dynamics Ergodic theory |
| ISBN | 981-15-5208-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index. . |
| Record Nr. | UNISA-996418447403316 |
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Luo Albert C. J.
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| Singapore : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Toward analytical chaos in nonlinear systems / / Albert C. J. Luo
| Toward analytical chaos in nonlinear systems / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 003/.857 |
| Soggetto topico |
Differentiable dynamical systems
Nonlinear oscillations Chaotic behavior in systems |
| ISBN |
1-118-88717-4
1-118-88715-8 1-118-88721-2 |
| Classificazione | TEC009070 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Preface Chapter 1 Introduction 1 1.1 Brief history 1 1.2 boook layout 5 Chapter 2 Nonlinear Dynamical Systems 7 2.1 Continuous systems 7 2.2 Equilibrium and stability 10 2.3 Bifurcation and stability switching 20 2.3.1 Stability and switching 21 2.3.2 Bifurcations 32 Chapter 3 An Analytical Method for Periodic Flows 39 3.1 Nonlinear dynamical sysetms 39 3.1.1 Autonomous nonlinear systems 39 3.1.2 Non-autonomous nonlinear systems 51 3.2 Nonlinear vibration systems 55 3.2.1 Free vibration systems 56 3.2.2 Periodically excited vibration systems 70 3.3 Time-delayed nonlinear systems 75 3.3.1 Autonomous time-delayed nonlinear systems 75 3.3.2 Non-authonomous, time-delayed nonlinear systems 95 3.4 Time-delayed nonlinear vibration systems 96 3.4.1 Time-delayed, free vibration systems 96 3.4.2 Periodically excited vibration systems with time-delay 114 Chapter 4 Analytical Periodic to Quasi-periodic Flows 121 4.1 Nonlinear dynamical sysetms 121 4.2 Nonlinear vibration systems 137 4.3 Time-delayed nonlinear systems 147 4.4 Time-delayed, nonlinear vibration systems 160 Chapter 5 Quadratic Nonlinear Oscillators 175 5.1 Period-1 motions 175 5.1.1 Analytical solutions 175 5.1.2 Analytical predictions 180 5.1.3 Numerical illustrations 185 5.2 Period-m motions 191 5.2.1 Analytical solutions 196 5.2.2 Analytical bifurcation trees 200 5.2.3 Numiercal illustrations 185 5.3 Arbitrary periodic forcing 235 Chapter 6 Time-delayed Nonlinear Oscillators 237 6.1 Analytical solutions of period-m moitons 237 6.2 Analytical bifurcation trees 257 6.3 Illustrations of periodic motions 265 References 273 Subject index 277 . |
| Record Nr. | UNINA-9910139150103321 |
|
Luo Albert C. J.
|
||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Toward analytical chaos in nonlinear systems / / Albert C. J. Luo
| Toward analytical chaos in nonlinear systems / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 003/.857 |
| Soggetto topico |
Differentiable dynamical systems
Nonlinear oscillations Chaotic behavior in systems |
| ISBN |
1-118-88717-4
1-118-88715-8 1-118-88721-2 |
| Classificazione | TEC009070 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Preface Chapter 1 Introduction 1 1.1 Brief history 1 1.2 boook layout 5 Chapter 2 Nonlinear Dynamical Systems 7 2.1 Continuous systems 7 2.2 Equilibrium and stability 10 2.3 Bifurcation and stability switching 20 2.3.1 Stability and switching 21 2.3.2 Bifurcations 32 Chapter 3 An Analytical Method for Periodic Flows 39 3.1 Nonlinear dynamical sysetms 39 3.1.1 Autonomous nonlinear systems 39 3.1.2 Non-autonomous nonlinear systems 51 3.2 Nonlinear vibration systems 55 3.2.1 Free vibration systems 56 3.2.2 Periodically excited vibration systems 70 3.3 Time-delayed nonlinear systems 75 3.3.1 Autonomous time-delayed nonlinear systems 75 3.3.2 Non-authonomous, time-delayed nonlinear systems 95 3.4 Time-delayed nonlinear vibration systems 96 3.4.1 Time-delayed, free vibration systems 96 3.4.2 Periodically excited vibration systems with time-delay 114 Chapter 4 Analytical Periodic to Quasi-periodic Flows 121 4.1 Nonlinear dynamical sysetms 121 4.2 Nonlinear vibration systems 137 4.3 Time-delayed nonlinear systems 147 4.4 Time-delayed, nonlinear vibration systems 160 Chapter 5 Quadratic Nonlinear Oscillators 175 5.1 Period-1 motions 175 5.1.1 Analytical solutions 175 5.1.2 Analytical predictions 180 5.1.3 Numerical illustrations 185 5.2 Period-m motions 191 5.2.1 Analytical solutions 196 5.2.2 Analytical bifurcation trees 200 5.2.3 Numiercal illustrations 185 5.3 Arbitrary periodic forcing 235 Chapter 6 Time-delayed Nonlinear Oscillators 237 6.1 Analytical solutions of period-m moitons 237 6.2 Analytical bifurcation trees 257 6.3 Illustrations of periodic motions 265 References 273 Subject index 277 . |
| Record Nr. | UNINA-9910826390403321 |
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Luo Albert C. J.
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||
| Chichester, England : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Two-dimensional quadratic nonlinear systems : univariate vector fields / / Albert C. J. Luo
| Two-dimensional quadratic nonlinear systems : univariate vector fields / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (XIII, 685 p. 121 illus., 84 illus. in color.) |
| Disciplina | 929.605 |
| Collana | Nonlinear Physical Science |
| Soggetto topico | Computational complexity |
| ISBN | 981-16-7873-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields. |
| Record Nr. | UNINA-9910717418003321 |
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Luo Albert C. J.
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| Singapore : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Two-dimensional quadratic nonlinear systems . Volume II : bivariate vector fields / / Albert C. J. Luo
| Two-dimensional quadratic nonlinear systems . Volume II : bivariate vector fields / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (452 pages) |
| Disciplina | 511.3 |
| Collana | Nonlinear Physical Science Ser. |
| Soggetto topico |
Computational complexity
Computational complexity - Data processing |
| ISBN | 981-16-7869-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Two-Dimensional Linear-Bivariate Linear Systems -- 1.1 Single-Linear-Bivariate Linear Systems -- 1.2 One-Dimensional Flows and Switching Bifurcations -- 1.3 Two Linear-Bivariate Linear Systems -- References -- 2 Single-Linear-Bivariate Quadratic Systems -- 2.1 Constant and Linear-Bivariate Quadratic Vector Fields -- 2.2 Single-Bivariate Linear and Quadratic Vector Fields -- 2.2.1 Single-Bivariate Linear and Quadratic Systems -- 2.2.2 Flow Switching and Appearing Bifurcations -- 2.3 Two Quadratic Vector Fields with a Single-Bivariate Function -- 2.3.1 A Single-Linear-Bivariate Quadratic System -- 2.3.2 Appearing and Switching Bifurcations -- Reference -- 3 Linear-Bivariate Quadratic Dynamics -- 3.1 Linear and Quadratic Linear-Bivariate Vector Fields -- 3.2 Saddle-Focus and Saddle-Node Bifurcations -- 3.3 Two Linear-Bivariate Quadratic Vector Fields -- 3.4 Saddle-Focus Bifurcations and Global Dynamics -- 3.4.1 Saddle-Focus Appearing and Switching Bifurcations -- 3.4.2 Focus-Saddle Network -- Reference -- 4 Linear-Bivariate Product Quadratic Systems -- 4.1 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2 Linear-Bivariate-Product Quadratic Systems -- 4.2.1 With a Constant Vector Field -- 4.2.2 With a Linear-Bivariate Linear Vector Field -- 4.2.3 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2.4 Switching Bifurcations -- 4.3 Product and Single Linear-Bivariate Quadratic Vector Fields -- 4.4 Product and Single Linear-Bivariate Quadratic Dynamics -- 4.4.1 Saddle-Focus Bifurcations -- 4.4.2 Simple Equilibriums and Switching Bifurcations -- Reference -- 5 Nonlinear-Bivariate Quadratic Systems -- 5.1 Linear-Bivariate and Nonlinear-Bivariate Vector Fields -- 5.2 Nonlinear-Bivariate Quadratic Systems -- 5.2.1 With a Constant Vector Field -- 5.2.2 With a Linear-Bivariate Linear Vector Field.
5.2.3 With a Two-Linear-Bivariate-Product Vector Field -- 5.3 Nonlinear and Single-Linear-Bivariate-Quadratic Vector Fields -- 5.4 Nonlinear and Single-Linear-Bivariate-Quadratic Dynamics -- 5.4.1 Saddle-Focus Bifurcations -- 5.4.2 Simple Equilibriums and Switching Bifurcations -- 5.5 Two Nonlinear Bivariate Quadratic Vector Fields -- 5.6 Nonlinear Bivariate Quadratic Dynamics -- Reference -- Index. |
| Record Nr. | UNISA-996466749203316 |
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Luo Albert C. J.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Two-dimensional quadratic nonlinear systems . Volume II : bivariate vector fields / / Albert C. J. Luo
| Two-dimensional quadratic nonlinear systems . Volume II : bivariate vector fields / / Albert C. J. Luo |
| Autore | Luo Albert C. J. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (452 pages) |
| Disciplina | 511.3 |
| Collana | Nonlinear Physical Science Ser. |
| Soggetto topico |
Computational complexity
Computational complexity - Data processing |
| ISBN | 981-16-7869-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Two-Dimensional Linear-Bivariate Linear Systems -- 1.1 Single-Linear-Bivariate Linear Systems -- 1.2 One-Dimensional Flows and Switching Bifurcations -- 1.3 Two Linear-Bivariate Linear Systems -- References -- 2 Single-Linear-Bivariate Quadratic Systems -- 2.1 Constant and Linear-Bivariate Quadratic Vector Fields -- 2.2 Single-Bivariate Linear and Quadratic Vector Fields -- 2.2.1 Single-Bivariate Linear and Quadratic Systems -- 2.2.2 Flow Switching and Appearing Bifurcations -- 2.3 Two Quadratic Vector Fields with a Single-Bivariate Function -- 2.3.1 A Single-Linear-Bivariate Quadratic System -- 2.3.2 Appearing and Switching Bifurcations -- Reference -- 3 Linear-Bivariate Quadratic Dynamics -- 3.1 Linear and Quadratic Linear-Bivariate Vector Fields -- 3.2 Saddle-Focus and Saddle-Node Bifurcations -- 3.3 Two Linear-Bivariate Quadratic Vector Fields -- 3.4 Saddle-Focus Bifurcations and Global Dynamics -- 3.4.1 Saddle-Focus Appearing and Switching Bifurcations -- 3.4.2 Focus-Saddle Network -- Reference -- 4 Linear-Bivariate Product Quadratic Systems -- 4.1 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2 Linear-Bivariate-Product Quadratic Systems -- 4.2.1 With a Constant Vector Field -- 4.2.2 With a Linear-Bivariate Linear Vector Field -- 4.2.3 Two Linear-Bivariate Product Quadratic Vector Fields -- 4.2.4 Switching Bifurcations -- 4.3 Product and Single Linear-Bivariate Quadratic Vector Fields -- 4.4 Product and Single Linear-Bivariate Quadratic Dynamics -- 4.4.1 Saddle-Focus Bifurcations -- 4.4.2 Simple Equilibriums and Switching Bifurcations -- Reference -- 5 Nonlinear-Bivariate Quadratic Systems -- 5.1 Linear-Bivariate and Nonlinear-Bivariate Vector Fields -- 5.2 Nonlinear-Bivariate Quadratic Systems -- 5.2.1 With a Constant Vector Field -- 5.2.2 With a Linear-Bivariate Linear Vector Field.
5.2.3 With a Two-Linear-Bivariate-Product Vector Field -- 5.3 Nonlinear and Single-Linear-Bivariate-Quadratic Vector Fields -- 5.4 Nonlinear and Single-Linear-Bivariate-Quadratic Dynamics -- 5.4.1 Saddle-Focus Bifurcations -- 5.4.2 Simple Equilibriums and Switching Bifurcations -- 5.5 Two Nonlinear Bivariate Quadratic Vector Fields -- 5.6 Nonlinear Bivariate Quadratic Dynamics -- Reference -- Index. |
| Record Nr. | UNINA-9910558484703321 |
|
Luo Albert C. J.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||