Creating periodic orbits in chaotic systems

Kathryn Glass; Michael Renton; Kevin Judd; Alistair Mees

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

Creating periodic orbits in chaotic systems

Kathryn Glass^*, Michael Renton, Kevin Judd, Alistair Mees

^*Corresponding author for this work

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
Number of pages	8
Journal	Physics Letters A
Volume	203
Issue number	2-3
DOIs	https://doi.org/10.1016/0375-9601(95)00398-M
Publication status	Published - 17 Jul 1995
Externally published	Yes

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@article{2257b61cab5649ad938d783c9a91d58b,

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 = "Kathryn Glass and Michael Renton and Kevin Judd and Alistair Mees",

year = "1995",

month = jul,

day = "17",

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

language = "English",

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journal = "Physics Letters A",

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TY - JOUR

T1 - Creating periodic orbits in chaotic systems

AU - Glass, Kathryn

AU - Renton, Michael

AU - Judd, Kevin

AU - Mees, Alistair

PY - 1995/7/17

Y1 - 1995/7/17

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.

UR - https://www.scopus.com/pages/publications/0000703988

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

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

M3 - Article

AN - SCOPUS:0000703988

SN - 0375-9601

VL - 203

SP - 107

EP - 114

JO - Physics Letters A

JF - Physics Letters A

IS - 2-3

ER -

Creating periodic orbits in chaotic systems

Abstract

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