Semihyperbolic mappings

DOI10.1007/BF01212908zbMath0855.58044OpenAlexW4240318918MaRDI QIDQ1911615

Victor S. Kozyakin, Phil Diamond, Peter E. Kloeden, Alexei V. Pokrovskii

Publication date: 1 May 1996

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212908

zbMATH Keywords

hyperbolic systemsstructural stabilitypersistencetopological entropyshadowing lemmasemihyperbolicity

Mathematics Subject Classification ID

Entropy in general topology (54C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items (8)

Semi-hyperbolic mappings, condensing operators, and neutral delay equations ⋮ Dynamical properties of spatial discretizations of a generic homeomorphism ⋮ Robustness of solutions of linear differential equations with infinite delay ⋮ Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings ⋮ Feasibility of numerical modelling: Information aspect ⋮ Bi-shadowing and delay equations ⋮ Shadowing pseudo-orbits and gradient descent noise reduction ⋮ Topological chaos: A spectral property for the shift on a sequence space

Cites Work

• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• A generalization of a theorem of marotto
• Expansivity of semi-hyperbolic Lipschitz mappings
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