DYNAMICAL PORTRAIT OF A MODEL OF THERMAL INSTABILITY: CASCADES, CHAOS, REVERSED CASCADES AND INFINITE PERIOD BIFURCATIONS

DOI10.1142/S0218127494000411zbMath0873.35112OpenAlexW1987969102MaRDI QIDQ4342289

Victor Roytburd, Michael L. Frankel

Publication date: 27 October 1997

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127494000411

zbMATH Keywords

numerical simulationsfree interface problemssolid combustionexothermic phase transitions

Mathematics Subject Classification ID

Combustion (80A25) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32)

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A free boundary problem modeling thermal instabilities: Stability and bifurcation ⋮ Complex dynamics generated by a sharp interface model of self-propagating high-temperature synthesis ⋮ Finite-dimensional model of thermal instability ⋮ Finite-dimensional dynamical system modeling thermal instabilities ⋮ Finite-dimensional attractors for a free boundary problem with a kinetic condition

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