Chaotic-like behaviour in chains of stable nonlinear oscillators

R Bonaccini, A Politi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Irregular evolution is observed in a chain of forced Duffing oscillators even when the maximum Lyapunov exponent is strictly negative. This phenomenon generalizes similar results previously obtained in the context of coupled-map lattices. The relationship with chaotic cellular automata is investigated by introducing a suitable encoding: while in some parameter region the evolution of the chain of oscillators turns out to be described exactly by a deterministic cellular automaton with a finite interaction range, in other regions even automata with an infinite range are unable to reproduce the observed patterns. We discuss the possible connection with an information downgrade occurring during the observation process.

Original languageEnglish
Pages (from-to)362-368
Number of pages7
JournalPhysica. D, Nonlinear Phenomena
Volume103
Issue number1-4
Publication statusPublished - 15 Apr 1997

Keywords

  • ATTRACTORS
  • TURBULENCE

Cite this

Chaotic-like behaviour in chains of stable nonlinear oscillators. / Bonaccini, R ; Politi, A .

In: Physica. D, Nonlinear Phenomena, Vol. 103, No. 1-4, 15.04.1997, p. 362-368.

Research output: Contribution to journalArticle

@article{c1f39e404ac643198d5c8e6d3d21979c,
title = "Chaotic-like behaviour in chains of stable nonlinear oscillators",
abstract = "Irregular evolution is observed in a chain of forced Duffing oscillators even when the maximum Lyapunov exponent is strictly negative. This phenomenon generalizes similar results previously obtained in the context of coupled-map lattices. The relationship with chaotic cellular automata is investigated by introducing a suitable encoding: while in some parameter region the evolution of the chain of oscillators turns out to be described exactly by a deterministic cellular automaton with a finite interaction range, in other regions even automata with an infinite range are unable to reproduce the observed patterns. We discuss the possible connection with an information downgrade occurring during the observation process.",
keywords = "ATTRACTORS, TURBULENCE",
author = "R Bonaccini and A Politi",
year = "1997",
month = "4",
day = "15",
language = "English",
volume = "103",
pages = "362--368",
journal = "Physica. D, Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "1-4",

}

TY - JOUR

T1 - Chaotic-like behaviour in chains of stable nonlinear oscillators

AU - Bonaccini, R

AU - Politi, A

PY - 1997/4/15

Y1 - 1997/4/15

N2 - Irregular evolution is observed in a chain of forced Duffing oscillators even when the maximum Lyapunov exponent is strictly negative. This phenomenon generalizes similar results previously obtained in the context of coupled-map lattices. The relationship with chaotic cellular automata is investigated by introducing a suitable encoding: while in some parameter region the evolution of the chain of oscillators turns out to be described exactly by a deterministic cellular automaton with a finite interaction range, in other regions even automata with an infinite range are unable to reproduce the observed patterns. We discuss the possible connection with an information downgrade occurring during the observation process.

AB - Irregular evolution is observed in a chain of forced Duffing oscillators even when the maximum Lyapunov exponent is strictly negative. This phenomenon generalizes similar results previously obtained in the context of coupled-map lattices. The relationship with chaotic cellular automata is investigated by introducing a suitable encoding: while in some parameter region the evolution of the chain of oscillators turns out to be described exactly by a deterministic cellular automaton with a finite interaction range, in other regions even automata with an infinite range are unable to reproduce the observed patterns. We discuss the possible connection with an information downgrade occurring during the observation process.

KW - ATTRACTORS

KW - TURBULENCE

M3 - Article

VL - 103

SP - 362

EP - 368

JO - Physica. D, Nonlinear Phenomena

JF - Physica. D, Nonlinear Phenomena

SN - 0167-2789

IS - 1-4

ER -