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

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

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

Autore	Luo Albert C. J.
Edizione	[1st ed. 2024.]
Pubbl/distr/stampa	Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
Descrizione fisica	1 online resource (240 pages)
Disciplina	512.82
Soggetto topico	Multibody systems Vibration Mechanics, Applied Dynamics Nonlinear theories Stochastic analysis Multibody Systems and Mechanical Vibrations Applied Dynamical Systems Engineering Mechanics Stochastic Analysis
ISBN	3-031-48483-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Chapter 1: Self-quadratic and product-cubic Systems -- Chapter 2: Saddle-node singularity and bifurcation dynamics -- Chapter 3: Double-saddles and switching bifurcations.
Record Nr.	UNINA-9910897980203321

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