Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 25, Issue 10, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127415300256
Keywords
Amplitude control; Sprott B system; line equilibrium points; multistability
Funding
- Jiangsu Overseas Research and Training Program
- 4th 333 High-level Personnel Training Project [BRA2013209]
- National Science Foundation
- Special Founding Program of the People's Republic of China [2011M500838, 2012T50456]
- Postdoctoral Research Foundation of Jiangsu Province [1002004C]
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A general method is introduced for controlling the amplitude of the variables in chaotic systems by modifying the degree of one or more of the terms in the governing equations. The method is applied to the Sprott B system as an example to show its flexibility and generality. The method may introduce infinite lines of equilibrium points, which influence the dynamics in the neighborhood of the equilibria and reorganize the basins of attraction, altering the multistability. However, the isolated equilibrium points of the original system and their stability are retained with their basic properties. Electrical circuit implementation shows the convenience of amplitude control, and the resulting oscillations agree well with results from simulation.
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