Kim Sang-Yoon, Lim Woochang, Ott Edward, Hunt Brian
Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Dec;68(6 Pt 2):066203. doi: 10.1103/PhysRevE.68.066203. Epub 2003 Dec 17.
We investigate the dynamical origin for the occurrence of asynchronous hyperchaos and chaos via blowout bifurcations in coupled chaotic systems. An asynchronous hyperchaotic or chaotic attractor with a positive or negative second Lyapunov exponent appears through a blowout bifurcation. It is found that the sign of the second Lyapunov exponent of the newly born asynchronous attractor, exhibiting on-off intermittency, is determined through competition between its laminar and bursting components. When the "strength" (i.e., a weighted second Lyapunov exponent) of the bursting component is larger (smaller) than that of the laminar component, an asynchronous hyperchaotic (chaotic) attractor appears.
我们研究了耦合混沌系统中通过爆发现象产生异步超混沌和混沌的动力学起源。通过爆发现象会出现具有正或负第二李雅普诺夫指数的异步超混沌或混沌吸引子。研究发现,表现出开-关间歇性的新生异步吸引子的第二李雅普诺夫指数的符号,是由其层流分量和爆发分量之间的竞争决定的。当爆发分量的“强度”(即加权第二李雅普诺夫指数)大于(小于)层流分量的“强度”时,就会出现异步超混沌(混沌)吸引子。