scientific article; zbMATH DE number 7009256

zbMath1415.37035MaRDI QIDQ4614790

Sangjin Kim

Publication date: 31 January 2019

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

structural stabilitygroup actiontopological stabilityinverse shadowingexpansivenesscontinuous shadowing

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Stability theory for smooth dynamical systems (37C75)

Cites Work

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• Stability theorems and hyperbolicity in dynamical systems
• Approximate and real trajectories for generic dynamical systems
• Varios shadowing properties and their equivalence
• Shadowing for actions of some finitely generated groups
• Topological stability and pseudo-orbit tracing property of group actions
• Topologically stable homeomorphisms of the circle
• Cellular Automata and Groups
• Hyperbolic homeomorphisms and bishadowing
• Continuous inverse shadowing and hyperbolicity
• Inverse shadowing in group actions

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