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Resonance And Bifurcation To Chaos In Pendulum

Af: Albert C J Luo Engelsk Hardback

Resonance And Bifurcation To Chaos In Pendulum

Af: Albert C J Luo Engelsk Hardback
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A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors. Although the pendulum is one of the simplest nonlinear oscillators, yet, until now, we are still not able to undertake a systematical study of periodic motions to chaos in such a simplest system due to lack of suitable mathematical methods and computational tools. To understand periodic motions and chaos in the periodically forced pendulum, the perturbation method has been adopted. One could use the Taylor series to expend the sinusoidal function to the polynomial nonlinear terms, followed by traditional perturbation methods to obtain the periodic motions of the approximated differential system.

This book discusses Hamiltonian chaos and periodic motions to chaos in pendulums. This book first detects and discovers chaos in resonant layers and bifurcation trees of periodic motions to chaos in pendulum in the comprehensive fashion, which is a base to understand the behaviors of nonlinear dynamical systems, as a results of Hamiltonian chaos in the resonant layers and bifurcation trees of periodic motions to chaos. The bifurcation trees of travelable and non-travelable periodic motions to chaos will be presented through the periodically forced pendulum.

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A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors. Although the pendulum is one of the simplest nonlinear oscillators, yet, until now, we are still not able to undertake a systematical study of periodic motions to chaos in such a simplest system due to lack of suitable mathematical methods and computational tools. To understand periodic motions and chaos in the periodically forced pendulum, the perturbation method has been adopted. One could use the Taylor series to expend the sinusoidal function to the polynomial nonlinear terms, followed by traditional perturbation methods to obtain the periodic motions of the approximated differential system.

This book discusses Hamiltonian chaos and periodic motions to chaos in pendulums. This book first detects and discovers chaos in resonant layers and bifurcation trees of periodic motions to chaos in pendulum in the comprehensive fashion, which is a base to understand the behaviors of nonlinear dynamical systems, as a results of Hamiltonian chaos in the resonant layers and bifurcation trees of periodic motions to chaos. The bifurcation trees of travelable and non-travelable periodic motions to chaos will be presented through the periodically forced pendulum.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 252
ISBN-13: 9789813231672
Indbinding: Hardback
Udgave:
ISBN-10: 981323167X
Kategori: Kaosteori
Udg. Dato: 9 feb 2018
Længde: 21mm
Bredde: 242mm
Højde: 162mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 9 feb 2018
Forfatter(e): Albert C J Luo
Forfatter(e) Albert C J Luo

Kategori Kaosteori

ISBN-13 9789813231672

Sprog Engelsk

Indbinding Hardback

Sider 252

Udgave

Længde 21mm

Bredde 242mm

Højde 162mm

Udg. Dato 9 feb 2018

Oplagsdato 9 feb 2018

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge