Advances in Differential Equations and Control Processes
Volume 5, Issue 1, Pages 65 - 72
(February 2010)
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NUMERICAL STUDY OF CALCULATING LYAPUNOV EXPONENTS FOR NON-SMOOTH SYSTEMS
Shihui Fu and Qi Wang
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Abstract: In this paper, the methods of calculating Lyapunov exponents for non-smooth systems are summarized. These methods may be divided into two sorts: (1) the transition condition is supplemented at discontinuous instants, (2) the Jacobi matrix is avoided at discontinuous instants (chaos synchronization). |
Keywords and phrases: Lyapunov exponent, non-smooth system, transitional matrix, chaos synchronization. |
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