INSTABILITIES OF WAVE TRAINS AND TURING PATTERNS IN LARGE DOMAINS
2007 ◽
Vol 17
(08)
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pp. 2679-2691
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Keyword(s):
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.
2020 ◽
Vol 476
(2238)
◽
pp. 20200003
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2006 ◽
Vol 222
(1)
◽
pp. 185-232
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Keyword(s):
2010 ◽
Vol 466
(2119)
◽
pp. 1903-1917
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1992 ◽
Vol 188
(1-3)
◽
pp. 251-252
2010 ◽
Vol 13
(3)
◽
pp. 709-728
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