Journal
NONLINEAR DYNAMICS
Volume 73, Issue 3, Pages 1335-1341Publisher
SPRINGER
DOI: 10.1007/s11071-013-0866-z
Keywords
Amplitude control; Lyapunov exponent spectrum; Lorenz system
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Funding
- Science Foundation for Postdoctoral Program of People's Republic of China [2011M500838, 2012T50456, 1002004C]
- Jiangsu Overseas Research & Training Program for University Prominent Young and Middle-aged Teachers and Presidents
- 4th 333 High-level Personnel Training Project [15]
- Qing Lan Project of Jiangsu Province
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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.
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