On invariants and invariant hypersurfaces of complex discrete dynamical systems

DOI10.3103/S1066369X21020043zbMath1465.37039OpenAlexW3135071943MaRDI QIDQ2027940

V. Yu. Tyshchenko

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21020043

zbMATH Keywords

discrete dynamical systeminvariant hypersurfacefunctional invariantreal-holomorphic function of complex variable

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) Higher-dimensional holomorphic and meromorphic dynamics (37F80) Symmetries and invariants of dynamical systems (37C79)

Cites Work

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• On invariants of discrete dynamical systems
• On compact invariant hypersurfaces of discrete dynamical systems
• On invariants for difference equations and systems of difference equations of rational form
• Invariants for certain discrete dynamical systems given by rational mappings
• Stability of equilibria of discrete-time systems and localization of invariant compact sets
• Basis of absolute invariants of completely solvable linear and linear-fractional discrete dynamical systems
• Hyperbolic attractors of diffeomorphisms of Euclidean space
• Functional method for the localization of invariant compact sets in discrete systems
• LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS
• A Darboux-type Theory of Integrability for Discrete Dynamical Systems

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