Literature DB >> 16592170

Dissipative structures, catastrophes, and pattern formation: a bifurcation analysis.

G Nicolis1, J F Auchmuty.   

Abstract

A model chemical network involving reactions and diffusion is studied. Spatially and temporally ordered solutions of the equations are found by bifurcation theory. These solutions are calculated analytically and their stability is studied. Properties of these dissipative structures are discussed, and a comparison with Thom's theories of morphogenesis is outlined.

Year:  1974        PMID： 16592170      PMCID： PMC388547          DOI： 10.1073/pnas.71.7.2748

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN： 0027-8424            Impact factor:   11.205


  2 in total

1.  Horizontal bands in the belousov reaction.

Authors:  N Kopell; L N Howard
Journal:  Science       Date:  1973-06-15       Impact factor: 47.728

2.  Morphogenesis and chemical dissipative structures. A computer simulated case study.

Authors:  H M Martinez
Journal:  J Theor Biol       Date:  1972-09       Impact factor: 2.691
  2 in total
  7 in total

1.  Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields.

Authors:  A Babloyantz; J Hiernaux
Journal:  Bull Math Biol       Date:  1975-12       Impact factor: 1.758

2.  Spatiotemporal patterns in epileptic seizures.

Authors:  L K Kaczmarek; A Babloyantz
Journal:  Biol Cybern       Date:  1977-06-13       Impact factor: 2.086

3.  Pattern formation and morphogenesis: a reaction-diffusion model.

Authors:  P K Tapaswi; A K Saha
Journal:  Bull Math Biol       Date:  1986       Impact factor: 1.758

4.  Transition from polar to duplicate patterns.

Authors:  T Erneux; J Hiernaux
Journal:  J Math Biol       Date:  1980-05       Impact factor: 2.259

5.  Steady state bifurcation analysis of reaction-diffusion equations--a critique.

Authors:  T J van der Werff; H E Wilhelm
Journal:  Bull Math Biol       Date:  1978       Impact factor: 1.758

6.  Combined forest and soil management after a catastrophic event.

Authors:  Augusto Zanella; Jean-François Ponge; Anna Andreetta; Michael Aubert; Nicolas Bernier; Eleonora Bonifacio; Karine Bonneval; Cristian Bolzonella; Oleg Chertov; Edoardo A C Costantini; Maria De Nobili; Silvia Fusaro; Raffaello Giannini; Pascal Junod; Klaus Katzensteiner; Jolantha Kwiatkowsk-Malina; Roberto Menardi; Lingzi Mo; Safwan Mohammad; Annik Schnitzler; Adriano Sofo; Dylan Tatti; Herbert Hager
Journal:  J Mt Sci       Date:  2020-10-09       Impact factor: 2.071

7.  Friction in Myocardial Anoxia Leads to Negative Excess Entropy Production, Self-Organization, and Dissipative Structures.

Authors:  Yves Lecarpentier; Victor Claes; Jean-Louis Hébert; Xénophon Krokidis; Olivier Schussler; Alexandre Vallée
Journal:  Int J Mol Sci       Date:  2022-06-23       Impact factor: 6.208
  7 in total

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