Scaling of torus-doubling terminal points in a quasi-periodically forced map

Wu Jiu Fu; Daihai He; Peng Liang Shi; Wei Kang; Gang Hu

doi:10.1088/1009-1963/11/1/305

Scaling of torus-doubling terminal points in a quasi-periodically forced map

Wu Jiu Fu, Daihai He, Peng Liang Shi, Wei Kang, Gang Hu

Research output: Journal article publication › Journal article › Academic research › peer-review

3 Citations (Scopus)

Abstract

The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.

Original language	English
Pages (from-to)	17-20
Number of pages	4
Journal	Chinese Physics
Volume	11
Issue number	1
DOIs	https://doi.org/10.1088/1009-1963/11/1/305
Publication status	Published - 1 Jan 2002
Externally published	Yes

Keywords

Phase sensitive exponent
Strange non-chaotic attractor

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1009-1963/11/1/305

Cite this

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title = "Scaling of torus-doubling terminal points in a quasi-periodically forced map",

abstract = "The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.",

keywords = "Phase sensitive exponent, Strange non-chaotic attractor",

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T1 - Scaling of torus-doubling terminal points in a quasi-periodically forced map

AU - Fu, Wu Jiu

AU - He, Daihai

AU - Shi, Peng Liang

AU - Kang, Wei

AU - Hu, Gang

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.

AB - The torus-doubling bifurcations of a quasi-periodically forced two-dimensional map are investigated numerically. The scaling law on the terminal points of the torus-doubling bifurcation sequences is obtained by a simple method, based on hyper-stable period point and phase sensitivity exponent analyses.

KW - Phase sensitive exponent

KW - Strange non-chaotic attractor

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U2 - 10.1088/1009-1963/11/1/305

DO - 10.1088/1009-1963/11/1/305

M3 - Journal article

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VL - 11

SP - 17

EP - 20

JO - Chinese Physics

JF - Chinese Physics

IS - 1

ER -

Scaling of torus-doubling terminal points in a quasi-periodically forced map

Abstract

Keywords

ASJC Scopus subject areas

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