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Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system" - art. no. 058201

Authors

Neumann, E Pikovsky, A

Citation

E. Neumann et A. Pikovsky, Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system" - art. no. 058201, PHYS REV E, 6405(5), 2001, pp. 8201

Citations number

Categorie Soggetti

Physics

Journal title

PHYSICAL REVIEW E

ISSN journal

1063651X → ACNP

Volume

6405

Issue

Year of publication

2001

Part

Database

ISI

SICI code

1063-651X(200111)6405:5<8201:CO"ATT>2.0.ZU;2-9

Abstract

We address the problem of existence of strange nonchaotic attractors (SNAs) in quasiperiodically forced dynamical systems. Recently. Shuai and Wong [P hys. Rc. E 59, 5338 (1999)] suggested a universal method for constructing a SNA in an arbitrary system possessing chaos. We demonstrate here that, in general, this method fails. For arbitrary systems, it gibes a SNA only in a vicinity of transition to chaos. We discuss also a special example, where the method by Shuai and Wong indeed produces a SNA.