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

被引:13
作者
Continillo, G
Faraoni, V
Maffettone, PL
Crescitelli, S
机构
[1] Univ Sannio, Fac Ingn, I-82100 Benevento, Italy
[2] Univ Naples Federico II, Dipartimento Ingn Chim, I-80125 Naples, Italy
[3] Politecn Torino, Dipartimento Sci Mat & Ingn, I-10100 Turin, Italy
关键词
non-linear dynamics; reaction-diffusion equations; bifurcations; continuation; self-ignition;
D O I
10.1016/S0009-2509(99)00325-5
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
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. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:303 / 309
页数:7
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