Strange nonchaotic attractors in autonomous and periodically driven systems

被引：28

作者：

Anishchenko, VS

Vadivasova, TE

Sosnovtseva, O

机构：

[1] Physics Department, Saratov State University, Saratov, 410071

来源：

PHYSICAL REVIEW E | 1996年 / 54卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.54.3231

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We demonstrate that a strange nonchaotic attractor can be realized not only in quasiperiodically driven systems but also in autonomous and periodically forced systems. We show that the destruction of an ergodic torus via a band-merging crisis and the appearance of a strange nonchaotic attractor are applicable to a wide class of dynamical systems.

引用

页码：3231 / 3234

页数：4

共 12 条

[1]

ANISCHENKO VS, 1995, DYNAMICAL CHAOS MODE

[2] Mechanisms of ergodic torus destruction and appearance of strange nonchaotic attractors [J].

Anishchenko, VS ;

Vadivasova, TE ;

Sosnovtseva, O .

PHYSICAL REVIEW E, 1996, 53 (05) :4451-4456

[3] EVOLUTION OF ATTRACTORS IN QUASIPERIODICALLY FORCED SYSTEMS - FROM QUASIPERIODIC TO STRANGE NONCHAOTIC TO CHAOTIC [J].

DING, MZ ;

GREBOGI, C ;

OTT, E .

PHYSICAL REVIEW A, 1989, 39 (05) :2593-2598

[4] STRANGE NONCHAOTIC ATTRACTOR IN A QUASI-PERIODICALLY FORCED CIRCLE MAP [J].

FEUDEL, U ;

KURTHS, J ;

PIKOVSKY, AS .

PHYSICA D, 1995, 88 (3-4) :176-186

[5] STRANGE ATTRACTORS THAT ARE NOT CHAOTIC [J].

GREBOGI, C ;

OTT, E ;

PELIKAN, S ;

YORKE, JA .

PHYSICA D, 1984, 13 (1-2) :261-268

[6]

Heagy J., 1991, J Nonlinear Sci, V1, P423, DOI [10.1007/BF02429848, DOI 10.1007/BF02429848]

[7] THE BIRTH OF STRANGE NONCHAOTIC ATTRACTORS [J].

HEAGY, JF ;

HAMMEL, SM .

PHYSICA D, 1994, 70 (1-2) :140-153

[8] CORRELATIONS AND SPECTRA OF STRANGE NONCHAOTIC ATTRACTORS [J].

PIKOVSKY, AS ;

FEUDEL, U .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (15) :5209-5219

[9] SINGULAR CONTINUOUS SPECTRA IN DISSIPATIVE DYNAMICS [J].

PIKOVSKY, AS ;

ZAKS, MA ;

FEUDEL, U ;

KURTHS, J .

PHYSICAL REVIEW E, 1995, 52 (01) :285-296

[10] QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS [J].

ROMEIRAS, FJ ;

BONDESON, A ;

OTT, E ;

ANTONSEN, TM ;

GREBOGI, C .

PHYSICA D, 1987, 26 (1-3) :277-294

← 1 2 →