Creating periodic orbits in chaotic systems

K. Glass; M. Renton; Kevin Judd; A.I. Mees

doi:10.1016/0375-9601(95)00398-M

Creating periodic orbits in chaotic systems

K. Glass, M. Renton, Kevin Judd, A.I. Mees

Graduate Research School

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

9 Citations (Scopus)

Abstract

We introduce methods of forcing many types of behavior from a chaotic map using only variations of simple targeting algorithms. In particular, we show how to create new periodic orbits which are close to existing non-periodic orbits. We also look at robust targeting algorithms that will target and stabilize chaotic maps in the presence of noise.

Original language	English
Pages (from-to)	107-114
Journal	Physics Letters A
Volume	203
DOIs	https://doi.org/10.1016/0375-9601(95)00398-M
Publication status	Published - 1995

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title = "Creating periodic orbits in chaotic systems",

abstract = "We introduce methods of forcing many types of behavior from a chaotic map using only variations of simple targeting algorithms. In particular, we show how to create new periodic orbits which are close to existing non-periodic orbits. We also look at robust targeting algorithms that will target and stabilize chaotic maps in the presence of noise.",

author = "K. Glass and M. Renton and Kevin Judd and A.I. Mees",

year = "1995",

doi = "10.1016/0375-9601(95)00398-M",

language = "English",

volume = "203",

pages = "107--114",

journal = "Physics Letters A",

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TY - JOUR

T1 - Creating periodic orbits in chaotic systems

AU - Glass, K.

AU - Renton, M.

AU - Judd, Kevin

AU - Mees, A.I.

PY - 1995

Y1 - 1995

N2 - We introduce methods of forcing many types of behavior from a chaotic map using only variations of simple targeting algorithms. In particular, we show how to create new periodic orbits which are close to existing non-periodic orbits. We also look at robust targeting algorithms that will target and stabilize chaotic maps in the presence of noise.

AB - We introduce methods of forcing many types of behavior from a chaotic map using only variations of simple targeting algorithms. In particular, we show how to create new periodic orbits which are close to existing non-periodic orbits. We also look at robust targeting algorithms that will target and stabilize chaotic maps in the presence of noise.

U2 - 10.1016/0375-9601(95)00398-M

DO - 10.1016/0375-9601(95)00398-M

M3 - Article

VL - 203

SP - 107

EP - 114

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

ER -

Creating periodic orbits in chaotic systems

Abstract

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