Gade PM, Hu CK
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Nov;62(5 Pt A):6409-13. doi: 10.1103/physreve.62.6409.
In certain physical situations, extensive interactions arise naturally in systems. We consider one such situation, namely, small-world couplings. We show that, for a fixed fraction of nonlocal couplings, synchronous chaos is always a stable attractor in the thermodynamic limit. We point out that randomness helps synchronization. We also show that there is a size dependent bifurcation in the collective behavior in such systems.
在某些物理情形中，系统中会自然出现广泛的相互作用。我们考虑其中一种情形，即小世界耦合。我们表明，对于固定比例的非局部耦合，在热力学极限下同步混沌始终是一个稳定吸引子。我们指出随机性有助于同步。我们还表明，在此类系统的集体行为中存在与规模相关的分岔。
