期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 15, 期 11, 页码 3493-3508出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127405014180
关键词
strange attractor; bifurcation; Lorenz attractor; Lyapunov exponent
We discuss a rather new phenomenon in chaotic dynamics connected with the fact that some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors. These attractors persist for open domains in the parameter space. In particular, we report oil the existence of such domains for a three-dimensional Henon nap (a simple quadratic map with a constant Jacobian which occurs in a natural way in unfoldings of several types of homoclinic bifurcations). Among other observations, we have evidence that there are different types of Lorenz-like attractor domains in the parameter space of the 3D Henon map. In all cases the maximal Lyapunov exponent, A,, is positive. Concerning the next Lyapunov exponent, Lambda(2), there are open domains where it is definitely positive, others where it is definitely negative and. finally, domains where it cannot be distinguished numerically from zero (i.e. vertical bar Lambda(2)vertical bar < rho, where rho is some tolerance ranging between 10(-5) and 10(-6)). Furthermore, several other types of interesting attractors have been found in this family of 3D Henon maps.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据