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Understanding synchronization from simple core of chaotic equation |
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| Authors: | Li Chen Hongbing Huang Guanxiao Qi |
| Institution: | a Department of Physics, Southeast University, Nanjing 210096, China b Research Center Jülich, Institute for Neuronscience and Medicine INM-2, D-52425 Jülich, Germany c Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China |
| Abstract: | We dissect Rössler equation and give a linear core, which can capture the essence of Rössler oscillator. The maximal transversal Lyapunov exponents calculated from the core are in good agreement with those obtained from Rössler equation. The idea is also tested for coupled Chua's circuit systems. Numerical experiments are given. |
| Keywords: | Simple core Lyapunov exponent Synchronization Time-varying coupling |
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