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【期刊论文】Phase Slips and Phase Synchronization of Coupled Oscillators
郑志刚, Zhigang Zheng, , Gang Hu, and Bambi Hu
PHYSICAL REVIEW LETTERS, 1998, 81 (24): 5318~5321,-0001,():
-1年11月30日
The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the phase-locking state, simultaneous phase slips of all oscillators and quantized phase shifts in these phase slips are observed. By increasing the coupling, a bifurcation tree from high-dimensional quasiperiodicity to chaos to quasiperiodicity and periodicity is found. Different orders of phase synchronizations of chaotic oscillators and chaotic clusters play the key role for constructing this tree structure.
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【期刊论文】Ergodicity in hard-ball systems and Boltzmann's entropy
郑志刚, Zhigang Zheng, Gang Hu, , and Juyuan Zhang
PHYSICAL REVIEW E, 1996, 53 (4): 3246~3252,-0001,():
-1年11月30日
The ergodic property of the hard-ball systems is investigated numerically by comparing the microcanonical single-particle distributions and the corresponding numerical results in two- and three-dimensional cases. A Boltzmann-entropy-like quantity H(nc) is defined and its evolution is discussed. The deviation of this entropy from the equilibrium value obeys a power decay law in the long time limit, and the origin of this tail is explored heuristically.
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【期刊论文】Collective phase slips and phase synchronizations in coupled oscillator systems
郑志刚, Zhigang Zheng, , Bambi Hu, and Gang Hu
PHYSICAL REVIEW E, 2000, 62 (1): 402~408,-0001,():
-1年11月30日
Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.
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【期刊论文】Spatiotemporal dynamics of discrete sine-Gordon lattices with sinusoidal couplings
郑志刚, Zhigang Zheng, , * Bambi Hu, and Gang Hu
PHYSICAL REVIEW E, 1998, 57 (1): 1139~1144,-0001,():
-1年11月30日
The spatiotemporal dynamics of a damped sine-Gordon chain with sinusoidal nearest-neighbor couplings driven by a constant uniform force are discussed. The velocity characteristics of the chain versus the external force are shown. Dynamics in the high- and low-velocity regimes are investigated. It is found that in the high-velocity regime, the dynamics is dominated by rotating modes, the velocity shows a branching bifurcation feature, while in the low-velocity regime, the velocity exhibits steplike dynamical transitions, broken by the destruction of strong resonances.
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【期刊论文】Resonant steps and spatiotemporal dynamics in the damped dc-driven Frenkel-Kontorova chain
郑志刚, Zhigang Zheng*, Bambi Hu, Gang Hu
PHYSICAL REVIEW B, 1998, 58 (9): 5453~5461,-0001,():
-1年11月30日
The kink dynamics of the damped Frenkel-Kontorova (discrete sine-Gordon) chain driven by a constant external force is investigated. Resonant steplike transitions of the average velocity occur due to the competition between the moving kinks and their radiated phasonlike modes. A mean-field consideration is introduced to give a precise prediction of the resonant steps. Slip-stick motion and spatiotemporal dynamics on those resonant steps are discussed. Our results can be applied to studies of the fluxon dynamics of one-dimensional Josephson-junction arrays and ladders, dislocations, tribology, and other fields.
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