Global Dynamics in the Periodically Forced Chen System(Condensed Matter and Statistical Physics)

概要

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In this paper, we study qualitatively the global dynamics in the periodically forced Chen system. Firstly we develop the classical Melnikov method with the aid of the Fredholm alternative condition and first integral. Then we apply this method to prove rigorously that there exist periodic orbits and homoclinic chaos in the periodically forced Chen system with certain parametric conditions. The obtained results are in agreement with the numerical results found previously in the forced Lorenz system, which indicates the inherent connection between the Chen system and the Lorenz system.
理論物理学刊行会の論文
2004-11-25