Measure Synchronization of High-Cycle Islets in Coupled Hamiltonian Systems
CHEN Shao-Ying1,2, WANG Guang-Rui3, CHEN Shi-Gang3
1Department of Physics, Hulunbeier College, Hailaer 021008
2Graduate School of China Academy of Engineer Physics, PO Box 2101, Beijing 100088
3Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088
Measure Synchronization of High-Cycle Islets in Coupled Hamiltonian Systems
CHEN Shao-Ying1,2;WANG Guang-Rui3;CHEN Shi-Gang3
1Department of Physics, Hulunbeier College, Hailaer 021008
2Graduate School of China Academy of Engineer Physics, PO Box 2101, Beijing 100088
3Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088
Abstract： Measure synchronization is a new phenomenon found in coupled Hamiltonian systems recently and it is interesting to understand its properties comprehensively. We discuss the measure synchronization of a coupled pair of standard maps in high period quasi-period orbits, and the measure synchronization transition is associated with the transition of coupled systems from quasi-periodicity to chaos. This behaviour is very different from that found by Hampton and Zanette [Phys. Rev. Lett. {\bf 83} (1999) 2179].
2004, Vol. 21 
