Generalized Splay State in Coupled Chaotic Oscillators Induced by Weak Mutual Resonant Interactions

Meng Zhan; Gang Hu; Ying Zhang; Daihai He

doi:10.1103/PhysRevLett.86.1510

Generalized Splay State in Coupled Chaotic Oscillators Induced by Weak Mutual Resonant Interactions

Meng Zhan, Gang Hu, Ying Zhang, and Daihai He

Phys. Rev. Lett. 86, 1510 – Published 19 February 2001

Abstract

Dynamic behavior of coupled chaotic oscillators is investigated. A transition from high-dimensional hyperchaos to a generalized periodic splay state is found for extremely weak coupling. Chaotic nature of a single oscillator and mutual resonant interactions are regarded to be responsible for this self-organized ordering. The functional phase distribution of the generalized splay state, which is essentially different from the equal-phase-separation distribution of the conventional splay states, can be well predicted by analyzing a single periodically forced oscillator.

Received 15 June 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.1510

Authors & Affiliations

Meng Zhan¹, Gang Hu^2,1, Ying Zhang³, and Daihai He¹

¹Department of Physics, Beijing Normal University, Beijing, 100875, China
²China Center for Advanced Science and Technology (CCAST), (World Laboratory), P.O. Box 8730, Beijing, 100080, China
³LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009(26), Beijing 100088, China