期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 17, 期 8, 页码 2679-2691出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127407018683
关键词
wave trains; stability; reaction-diffusion systems; classification of instabilitie
We classify generic instabilities of wave trains in reaction - diffusion systems on the real line as the wavenumber and system parameters are varied. We find three types of robust instabilities: Hopf with nonzero modulational wavenumber, sideband and spatio-temporal period-doubling. Near a fold, the only other robust instability mechanism, we show that all wave trains are necessarily unstable. We also discuss the special cases of homogeneous oscillations and reflection symmetric, stationary Turing patterns.
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