Amplitude control approach for chaotic signals

A general approach based on the introduction of a control function for constructing amplitude-controllable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic te...

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Bibliographic Details
Published in:Nonlinear dynamics 2013-08, Vol.73 (3), p.1335-1341
Main Authors: Li, Chunbiao, Sprott, J. C.
Format: Article
Language:English
Subjects:
Amplitudes
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Control systems
Dynamical Systems
Engineering
Lorenz system
Lyapunov exponents
Mechanical Engineering
Nonlinear dynamics
Nonlinearity
Original Paper
Vibration
Citations: Items that this one cites
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Summary:A general approach based on the introduction of a control function for constructing amplitude-controllable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic terms in a dynamical system. The approach is illustrated using the Lorenz system as a typical example. It is proved that wherever control functions are introduced, the amplitude of the chaotic signals can be controlled without altering the Lyapunov exponent spectrum.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-0866-z