Qualitative analysis of the dynamics and stability properties for axiom A maps

DOI10.1016/0022-247X(88)90117-5zbMath0672.58022OpenAlexW2080586375MaRDI QIDQ1120170

Helena E. Nusse

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90117-5

zbMATH Keywords

structural stabilityaxiom A mappingF-invariant sets

Mathematics Subject Classification ID

Iteration of real functions in one variable (26A18) Stability theory for smooth dynamical systems (37C75) Measure-theoretic ergodic theory (28D99)

Related Items (4)

Is every approximate trajectory of some process near an exact trajectory of a nearby process? ⋮ The equality of fractal dimension and uncertainty dimension for certain dynamical systems ⋮ Resolution of chaos with application to a modified Samuelson model ⋮ On the creation of Wada basins in interval maps through fixed point tangent bifurcation

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• Asymptotically Periodic Behaviour in the Dynamics of Chaotic Mappings
• Period Three Implies Chaos
• Stable Orbits and Bifurcation of Maps of the Interval
• Deterministic Nonperiodic Flow
• Simple mathematical models with very complicated dynamics
• Differentiable dynamical systems
• ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF

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