The reduction principle for discrete dynamical and semidynamical systems in metric spaces

DOI10.1007/BF00952086zbMath0824.34049MaRDI QIDQ1804274

Andrejs Reinfelds

Publication date: 9 November 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

complete metric spacediscrete dynamicsHartman-Grobman theoremautonomous differential equationsreduction principle

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear differential equations in abstract spaces (34G20) Additive difference equations (39A10) Dynamical systems and ergodic theory (37-XX)

Related Items (5)

Topological decoupling and linearization of nonautonomous evolution equations ⋮ Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points ⋮ Dynamical equivalence of impulsive differential equations ⋮ Conjugacy of a discrete semidynamical system in a neighbourhood of the nontrivial invariant manifold ⋮ Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold

Cites Work

• Continuous and discrete dynamics near manifolds of equilibria
• Linearization near an integral manifold
• Linearizing the expanding part of noninvertible mappings
• Partial linearization for noninvertible mappings
• Bifurcations of topological type at singular points of parametrized vector fields
• A Lemma in the Theory of Structural Stability of Differential Equations
• On a Theorem of P. Hartman
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