Influence of self- and cross-diffusion on wave train solutions of reaction-diffusion systems
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Cites background from "Influence of self- and cross-diffus..."
...Mukhopadhyay and Bhattacharyya (2005) studied a generalized reaction–diffusion –! system which incorporates both self and cross-diffusion....
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39 citations
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References
5,220 citations
"Influence of self- and cross-diffus..." refers methods in this paper
...Using normal form theory and Hopf-bifurcation theorem (Wiggins 1990) it can be shown that any two-variable ordinary differential equation system near a super-critical Hopf-bifurcation will have the general –! form given by (1....
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...Using normal form theory and Hopf-bifurcation theorem (Wiggins 1990) it can be shown that any two-variable ordinary differential equation system near a super-critical Hopf-bifurcation will have the general –! form given by (1.1)....
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766 citations
"Influence of self- and cross-diffus..." refers background in this paper
...The concept of cross-diffusion was studied by Okubo (2001), Jorne (1977), Kerner (1959) and Rosen (1977)....
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387 citations
"Influence of self- and cross-diffus..." refers background in this paper
...…ISSN 0020–7721 print/ISSN 1464–5319 online 2005 Taylor & Francis Group Ltd http://www.tandf.co.uk/journals DOI: 10.1080/00207720500150911 were first studied by Kopell and Howard (1973), who were motivated by an attempt to describe the formation of patterns in the Belousov-Zhabotinskii reaction....
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305 citations
"Influence of self- and cross-diffus..." refers background in this paper
...Spiral wave solutions of –! systems have been investigated by Greenberg (1981), Hagan (1982) and Kuramoto and Koga (1981)....
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272 citations
"Influence of self- and cross-diffus..." refers background in this paper
...These spiral waves have been demonstrated experimentally by Winfree (1974) and Krinsky et al. (1986)....
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