Transition from High-Dimensional Chaos to Periodicity by Weak Mutual Resonant Interactions

Dynamic behavior of coupled chaotic oscillators is investigated. A transition from high-dimensional hyperchaos to a periodic state is found for extremely weak coupling. Self-organized mutual resonant interactions are regarded to be responsible for this transition. The functional phase distribution of various oscillators, 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.