PERIODIC ORBIT ANALYSIS OF THE LORENZ ATTRACTOR

被引：43

作者：

ECKHARDT, B

OTT, G

机构：

[1] CARL VON OSSIETZKY UNIV, ICBM, D-26111 OLDENBURG, GERMANY

[2] FORSCHUNGSZENTRUM JULICH, FORSCHUNGSZENTRUM, INST FESTKORPERFORSCH, D-52405 JULICH, GERMANY

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1994年 / 93卷 / 02期

关键词：

D O I：

10.1007/BF01316970

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We present an application of the periodic orbit formalism to the Lorenz attractor at the standard parameter values. The symbolic encoding of trajectories, the effects of symmetries and scaling properties of trajectories are discussed. Good results for the Hausdorff dimension and the Lyapunov exponent are obtained. The classical spectral density is computed and positions and widths of resonances are compared with those found in correlation functions.

引用

页码：259 / 266

页数：8

共 27 条

[1] RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS [J].