Time-Averaged Behaviour at the Critical Parameter Point of Transition to Spatiotemporal Chaos
HE Kai-Fen
The Key Laboratory of Beam Technology and Material
Modification of Ministry of Education,and Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875
Beijing Radiation Center, Beijing 100875
Time-Averaged Behaviour at the Critical Parameter Point of Transition to Spatiotemporal Chaos
HE Kai-Fen
The Key Laboratory of Beam Technology and Material
Modification of Ministry of Education,and Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing 100875
Beijing Radiation Center, Beijing 100875
Abstract： A time-averaged behaviour is found to be important for investigating the critical behaviour in parameter space for the transition from temporal chaos to spatiotemporal chaos by using an energy representation. Considering any wave solution as a superposition of the steady wave with its perturbation wave, we find that when approaching to the critical parameter point, their averaged positive interaction energy for the k = 1 mode becomes competitive with the negative one, with the summation displaying a scaling behaviour of power law.
(Waves, oscillations, and instabilities in plasmas and intense beams)
引用本文:
HE Kai-Fen. Time-Averaged Behaviour at the Critical Parameter Point of Transition to Spatiotemporal Chaos
[J]. 中国物理快报, 2001, 18(9): 1176-1178.
HE Kai-Fen. Time-Averaged Behaviour at the Critical Parameter Point of Transition to Spatiotemporal Chaos
. Chin. Phys. Lett., 2001, 18(9): 1176-1178.
2001, Vol. 18 
