Resonance And Bifurcation To Chaos In Pendulum is popular PDF and ePub book, written by Albert C J Luo in 2017-12-15, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Resonance And Bifurcation To Chaos In Pendulum can be Read Online from any device for your convenience.
Resonance And Bifurcation To Chaos In Pendulum Book PDF Summary
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.
Detail Book of Resonance And Bifurcation To Chaos In Pendulum PDF
- Author : Albert C J Luo
- Release : 15 December 2017
- Publisher : World Scientific
- ISBN : 9789813231696
- Genre : Science
- Total Page : 251 pages
- Language : English
- PDF File Size : 14,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Resonance And Bifurcation To Chaos In Pendulum by Albert C J Luo, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.