SIZE INSTABILITIES IN THE RING AND LINEAR ARRAYS OF CHAOTIC SYSTEMS

Guanxiao Qi, Hongbin Huang () and Haijun Wang
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Guanxiao Qi: Department of Physics, Southeast University, Nanjing 210096, China
Hongbin Huang: Department of Physics, Southeast University, Nanjing 210096, China
Haijun Wang: Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, China

Advances in Complex Systems (ACS), 2007, vol. 10, issue 03, 301-313

Abstract: We investigate the dynamical stabilities of ring and linear arrays of chaotic oscillators with asymmetric nearest-neighbor and long-range couplings. It is shown that the instabilities of complete chaotic synchronization occur as the numbers of oscillators are increased beyond critical values which depend on the coupling schemes and coupling parameters of the systems. Based on the master stability function and eigenvalue analysis methods, we give the semi-analytical relations between the critical values and the coupling parameters. Results are demonstrated with numerical simulations in a set of coupled Lorenz oscillators.

Keywords: Dynamical stabilities; master stability function; eigenvalue analysis (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0219525907001185

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