Periodic orbit theory of two coupled Tchebyscheff maps

CP Dettmann; D Lippolis

Periodic orbit theory of two coupled Tchebyscheff maps

Research output: Contribution to journal › Article (Academic Journal) › peer-review

10 Citations (Scopus)

Abstract

Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such as biology (ecology, evolution) and information processing. This paper investigates properties of periodic orbits in two coupled Tchebyscheff maps. Then zeta function cycle expansions are used to compute dynamical averages appearing in Beck's theory of chaotic strings. The results show close agreement with direct simulation for most values of the coupling parameter, and yield information about the system complementary to that of direct simulation. (C) 2004 Elsevier Ltd. All rights reserved.

Translated title of the contribution	Periodic orbit theory of two coupled Tchebyscheff maps
Original language	English
Pages (from-to)	43 - 54
Journal	Chaos Solitons & Fractals
Volume	23 (1)
Publication status	Published - Jan 2005

Bibliographical note

Publisher: Pergamon-Elsevier Science Ltd
Other identifier: IDS Number: 858JO

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title = "Periodic orbit theory of two coupled Tchebyscheff maps",

abstract = "Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such as biology (ecology, evolution) and information processing. This paper investigates properties of periodic orbits in two coupled Tchebyscheff maps. Then zeta function cycle expansions are used to compute dynamical averages appearing in Beck's theory of chaotic strings. The results show close agreement with direct simulation for most values of the coupling parameter, and yield information about the system complementary to that of direct simulation. (C) 2004 Elsevier Ltd. All rights reserved.",

author = "CP Dettmann and D Lippolis",

note = "Publisher: Pergamon-Elsevier Science Ltd Other identifier: IDS Number: 858JO ",

year = "2005",

month = jan,

language = "English",

volume = "23 (1)",

pages = "43 -- 54",

journal = "Journal of Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Periodic orbit theory of two coupled Tchebyscheff maps

AU - Dettmann, CP

AU - Lippolis, D

N1 - Publisher: Pergamon-Elsevier Science Ltd Other identifier: IDS Number: 858JO

PY - 2005/1

Y1 - 2005/1

N2 - Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such as biology (ecology, evolution) and information processing. This paper investigates properties of periodic orbits in two coupled Tchebyscheff maps. Then zeta function cycle expansions are used to compute dynamical averages appearing in Beck's theory of chaotic strings. The results show close agreement with direct simulation for most values of the coupling parameter, and yield information about the system complementary to that of direct simulation. (C) 2004 Elsevier Ltd. All rights reserved.

AB - Coupled map lattices have been widely used as models in several fields of physics, such as chaotic strings, turbulence, and phase transitions, as well as in other disciplines, such as biology (ecology, evolution) and information processing. This paper investigates properties of periodic orbits in two coupled Tchebyscheff maps. Then zeta function cycle expansions are used to compute dynamical averages appearing in Beck's theory of chaotic strings. The results show close agreement with direct simulation for most values of the coupling parameter, and yield information about the system complementary to that of direct simulation. (C) 2004 Elsevier Ltd. All rights reserved.

M3 - Article (Academic Journal)

VL - 23 (1)

SP - 43

EP - 54

JO - Journal of Chaos, Solitons and Fractals

JF - Journal of Chaos, Solitons and Fractals

SN - 0960-0779

ER -