ON THE TOPOLOGY OF THE HENON MAP

被引：37

作者：

DALESSANDRO, G

GRASSBERGER, P

ISOLA, S

POLITI, A

机构：

[1] UNIV CAMERINO,DIPARTIMENTO MATEMAT & FIS,I-62032 CAMERINO,ITALY

[2] UNIV GESAMTHSCH WUPPERTAL,DEPT PHYS,W-5600 WUPPERTAL 1,GERMANY

[3] UNIV STRATHCLYDE,DEPT PHYS,GLASGOW G1 1XW,SCOTLAND

[4] IST NAZL OTTICA,I-50125 FLORENCE,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 22期

关键词：

D O I：

10.1088/0305-4470/23/22/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Topological invariants of the Henon map are investigated by means of the pruning front. First, a long sequence of primary homoclinic tangencies is computed, confirming the monotonicity of the front. An algorithm to extract forbidden sequences is then introduced and discussed. Forbidden sequences of increasing lengths are used to construct a hierarchy of regular grammars, represented by directed graphs, which approximate the exact grammar arbitrarily well. The topological entropy is estimated as the largest eigenvalue of their adjacency matrix. It exhibits an exponential convergence towards the asymptotic value with an exponent in agreement with a previous conjecture based on the growth rate of the number of forbidden words.

引用

页码：5285 / 5294

页数：10

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