An algorithm to approach invariant curves

Chi-Jer Yu; Jong Eao Lee

doi:10.1016/S0167-2789(00)00181-0

An algorithm to approach invariant curves

Chi-Jer Yu^*, Jong Eao Lee

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm.

Original language	English
Pages (from-to)	30-42
Number of pages	13
Journal	Physica D: Nonlinear Phenomena
Volume	149
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(00)00181-0
State	Published - 1 Feb 2001

Keywords

Algorithm
Invariant
Numerical
Quasi-periodic
Tori

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10.1016/S0167-2789(00)00181-0

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title = "An algorithm to approach invariant curves",

abstract = "We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm.",

keywords = "Algorithm, Invariant, Numerical, Quasi-periodic, Tori",

author = "Chi-Jer Yu and Lee, {Jong Eao}",

year = "2001",

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AU - Lee, Jong Eao

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AB - We develop an algorithm to identify invariant curves efficiently. In dynamical systems, it helps do continuations of branches of quasi-periodic solutions smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm.

KW - Algorithm

KW - Invariant

KW - Numerical

KW - Quasi-periodic

KW - Tori

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U2 - 10.1016/S0167-2789(00)00181-0

DO - 10.1016/S0167-2789(00)00181-0

M3 - Article

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

An algorithm to approach invariant curves

Abstract

Keywords

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