We characterise the dynamics of the self-ignition in a reaction–diffusion system by employing the direct simulation of a PDE-based model, and a continuation approach. This approach permits to analyse and accurately describe a period-doubling cascade, and to consider the problem of the determination of different routes to chaos. Multiplicity of dynamic steady states is observed, with coexistence of torus doubling sequences and of period-adding bifurcation sequences.

Non-linear dynamics of a self-igniting reaction-diffusion system

CONTINILLO G;
2000

Abstract

We characterise the dynamics of the self-ignition in a reaction–diffusion system by employing the direct simulation of a PDE-based model, and a continuation approach. This approach permits to analyse and accurately describe a period-doubling cascade, and to consider the problem of the determination of different routes to chaos. Multiplicity of dynamic steady states is observed, with coexistence of torus doubling sequences and of period-adding bifurcation sequences.
Non-linear dynamics; Reaction–diffusion equations; Bifurcations; Continuation; Self-ignition
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/5704
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