Comment on "Phase synchronization in discrete chaotic systems"

被引：6

作者：

Rosenblum, MG ^{[1
]}

Pikovsky, AS ^{[1
]}

Kurths, J ^{[1
]}

机构：

[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany

来源：

PHYSICAL REVIEW E | 2001年 / 63卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.63.058201

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：

Chen ef at. [Phys. Rev. E 61, 2559 (2000)] recently proposed an extension of the concept of phase for discrete chaotic systems. Using the newly introduced definition of phase they studied the dynamics of coupled map lattices and compared these dynamics with phase synchronization of coupled continuous-time chaotic systems. In this paper we illustrate by two simple counterexamples that the angle variable introduced by Chen er at, fails to satisfy the basic requirements to the proper phase. Furthermore, we argue that an extension of the notion of phase synchronization to generic discrete maps is doubtful.

引用

页码：1 / 58201

页数：2