Pseudotrajectories generated by a discretization of a parabolic equation

DOI10.1007/BF02218893zbMath0857.34046WikidataQ115392692 ScholiaQ115392692MaRDI QIDQ1916002

Sergei Yu. Pilyugin, Timo Eirola

Publication date: 28 August 1996

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

diffeomorphismparabolic equationattractorsemi-implicit discretization

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension ⋮ The typical dynamics of some mappings determined by piecewise linear functions

Cites Work

• Generic properties of stationary state solutions of reaction-diffusion equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• The Morse-Smale property for a semilinear parabolic equation
• The space of dynamical systems with the \(C^ 0\)-topology
• Diffeomorphisms of \(\mathbb{R}^ n\) with oscillatory Jacobians
• Transformation theory of non-linear differential equations of the second order
• Differential Topology
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