Chaos controls of a duffing system with impacts
Source abstract
Abstract
The chaos controls of a Duffing system with impacts are investigated using appropriate random phase. Based on the discontinuous map and Wedig’s algorithm, a procedure of calculating top Lyapunov exponent is presented for stochastic Duffing system with impacts. As the random phase changes, two kinds of chaos control are achieved for Duffing system with impacts by the criterion of the top Lyapunov exponent: one is chaos suppression, and the other is chaos generation. In addition, the obtained results are verified by numerical simulations including the phase portrait, Poincare surface of section and time history.
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Research context
OpenAlex topics: Chaos control and synchronization · Advanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Science, Xi’an Polytechnic University , Xi’an 710048, PR China
Funding
National Natural Science Foundation of China · Natural Science Foundation of Shaanxi Province
References (32)
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