Monte Carlo simulations of the periodically forced autocatalytic [Formula Presented] reaction

G. Zvejnieks; V. N. Kuzovkov

doi:10.1103/PhysRevE.61.4593

Monte Carlo simulations of the periodically forced autocatalytic [Formula Presented] reaction

Laboratory of Kinetics in Self-Organizing Systems, Institute of Solid State Physics

Osnabrück University

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

4 Citations (Scopus)

Abstract

The one-parameter autocatalytic Lotka-like model, which exhibits self-organized oscillations, is considered on a two-dimensional lattice, using Monte Carlo computer simulations. Despite the simplicity of the model, periodic modulation of the only control parameter drives the system through a sequence of frequency locking, quasiperiodic, and resonance behavior.

Original language	English
Pages (from-to)	4593-4598
Number of pages	6
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	61
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.61.4593
Publication status	Published - 2000

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10.1103/PhysRevE.61.4593

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title = "Monte Carlo simulations of the periodically forced autocatalytic [Formula Presented] reaction",

abstract = "The one-parameter autocatalytic Lotka-like model, which exhibits self-organized oscillations, is considered on a two-dimensional lattice, using Monte Carlo computer simulations. Despite the simplicity of the model, periodic modulation of the only control parameter drives the system through a sequence of frequency locking, quasiperiodic, and resonance behavior.",

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AB - The one-parameter autocatalytic Lotka-like model, which exhibits self-organized oscillations, is considered on a two-dimensional lattice, using Monte Carlo computer simulations. Despite the simplicity of the model, periodic modulation of the only control parameter drives the system through a sequence of frequency locking, quasiperiodic, and resonance behavior.

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DO - 10.1103/PhysRevE.61.4593

M3 - Article

AN - SCOPUS:4243315472

SN - 1063-651X

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JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 4

ER -

Monte Carlo simulations of the periodically forced autocatalytic [Formula Presented] reaction

Abstract

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