Explosion of limit  cycles and chaotic  waves in a simple  nonlinear chemical  system

Morten Brøns; Jeppe Sturis

doi:10.1103/PhysRevE.64.026209

Explosion of limit cycles and chaotic waves in a simple nonlinear chemical system

Morten Brøns, Jeppe Sturis

Novo Nordisk Foundation

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Abstract

A model of an autocatalytic chemical reaction was employed to study the explosion of limit cycles and chaotic waves in a nonlinear chemical system. The bifurcation point was determined using asymptotic analysis and perturbations. Scaling laws for amplitude and period were derived. A strong sensitivity was introduced due to bifurcation to infinity resulting in chaotic dynamics on adding diffusion.

Original language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	2
Pages (from-to)	026209
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.64.026209
Publication status	Published - 2001

Bibliographical note

Copyright (2001) American Physical Society

Keywords

REACTION SCHEME

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