Multi-timescale approach to analysis of exponential autocatalysis: limit cycle and global non-uniform steady patterns

DOI10.1088/0305-4470/24/11/020zbMath0743.92033OpenAlexW1989075617MaRDI QIDQ3986027

P. Rajani, B. D. Kulkarni, Satish R. Inamdar

Publication date: 27 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/11/020

zbMATH Keywords

limit cycles critical wavenumber dissipative structures exponentially autocatalyzed reaction-diffusion system two-time scale method evolution of initial disturbances global nonuniform solutions inhomogeneous steady state solutions steady uniform distribution of reactants

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Time-scale analysis and singular perturbations in control/observation systems (93C70) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Chemical kinetics in thermodynamics and heat transfer (80A30)

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