Autore	Luo Albert C. J
Edizione	[1st ed. 2024.]
Pubbl/distr/stampa	Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Descrizione fisica	1 online resource (382 pages)
Disciplina	512.9422
Soggetto topico	Dynamics Differential equations System theory Control theory Dynamical Systems Differential Equations Complex Systems Systems Theory, Control Sistemes complexos Matemàtica aplicada
Soggetto genere / forma	Llibres electrònics
ISBN	9789819722044 9819722047
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Constant and Self variable Polynomial Systems -- Constant and Crossing variable Polynomial Systems -- Single univariate Polynomial Systems -- Higher order Infinite equilibrium Bifurcations.
Record Nr.	UNINA-9910917785203321

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

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	9781118883921 1118883926 9781118883938 1118883934
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

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 Dynamics Computational complexity Statistical physics Differential equations, Partial 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