Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science) - Hardcover

Luo, Albert C. J.

 
9783662472743: Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science)
Hardcover
ISBN 10: 3662472740 ISBN 13: 9783662472743
Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2015

Inhaltsangabe

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.

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Über die Autorin bzw. den Autor

Albert C.J. Luo is an internationally recognized professor in nonlinear dynamics and mechanics. He is a Distinguished Research Professor at Southern Illinois University Edwardsville, USA. His principal research interests lie in the fields of Hamiltonian chaos, nonlinear deformable-body dynamics, discontinuous dynamical systems, regularity and complexity in nonlinear systems, analytical and numerical solutions of differential equations.

Von der hinteren Coverseite

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.

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Verlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3662472740
ISBN 13 
9783662472743
Einband
Tapa dura
Anzahl der Seiten
310
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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Vorgestellte Ausgabe

ISBN 10:  3662517094 ISBN 13:  9783662517093
Verlag: Springer, 2016
Softcover