Can Hamilton energy feedback suppress the chameleon chaotic flow?

Can Hamilton energy feedback suppress the chameleon chaotic flow? Nonlinear Dyn https://doi.org/10.1007/s11071-018-4384-x ORIGINAL PAPER Can Hamilton energy feedback suppress the chameleon chaotic flow? Fuqiang Wu · Tasawar Hayat · Xinlei An · Jun Ma Received: 1 March 2018 / Accepted: 16 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The dynamical behaviors of nonlinear sys- plotted to understand the stability of oscillation behav- tems are much dependent on the parameter setting and iors. It is found that setting appropriate positive feed- nonlinear terms, and some controllable parameters can back gain for Hamilton energy can suppress the chaos. be adjusted to modulate the outputs of dynamical sys- It could be helpful for further stability control of other tems. This paper confirms that the dynamical behav- complex dynamical systems. iors of the chameleon chaotic flow can be regulated by using the scheme of the Hamilton energy feedback. Keywords Hamilton energy · Hidden attractor · The Hamilton energy function can be approached by Nonlinear oscillator · Energy modulation · Lyapunov using the Helmholtz’s theorem. The dynamical system exponent is improved by adding one new variable associated with Hamilton energy, and the feedback gain for energy is adjusted to find target orbits. The Lyapunov exponent, 1 Introduction http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Dynamics Springer Journals

Can Hamilton energy feedback suppress the chameleon chaotic flow?

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Publisher
Springer Netherlands
Copyright
Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering
ISSN
0924-090X
eISSN
1573-269X
D.O.I.
10.1007/s11071-018-4384-x
Publisher site
See Article on Publisher Site

Abstract

Nonlinear Dyn https://doi.org/10.1007/s11071-018-4384-x ORIGINAL PAPER Can Hamilton energy feedback suppress the chameleon chaotic flow? Fuqiang Wu · Tasawar Hayat · Xinlei An · Jun Ma Received: 1 March 2018 / Accepted: 16 May 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract The dynamical behaviors of nonlinear sys- plotted to understand the stability of oscillation behav- tems are much dependent on the parameter setting and iors. It is found that setting appropriate positive feed- nonlinear terms, and some controllable parameters can back gain for Hamilton energy can suppress the chaos. be adjusted to modulate the outputs of dynamical sys- It could be helpful for further stability control of other tems. This paper confirms that the dynamical behav- complex dynamical systems. iors of the chameleon chaotic flow can be regulated by using the scheme of the Hamilton energy feedback. Keywords Hamilton energy · Hidden attractor · The Hamilton energy function can be approached by Nonlinear oscillator · Energy modulation · Lyapunov using the Helmholtz’s theorem. The dynamical system exponent is improved by adding one new variable associated with Hamilton energy, and the feedback gain for energy is adjusted to find target orbits. The Lyapunov exponent, 1 Introduction

Journal

Nonlinear DynamicsSpringer Journals

Published: Jun 1, 2018

References

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