Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos

DOI10.1137/120902860zbMath1304.37023OpenAlexW2049119403WikidataQ114476413 ScholiaQ114476413MaRDI QIDQ2871364

Hinke M. Osinga, Stefanie Hittmeyer, Bernd Krauskopf

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120902860

zbMATH Keywords

Poincaré mapcritical setstable setsunstable setsLorenz-like attractorswild chaoshigher-dimensional dynamical systemsnoninvertible planar mapsrobust homoclinic tangencies

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (8)

From wild Lorenz-like to wild Rovella-like dynamics ⋮ Determining the global manifold structure of a continuous-time heterodimensional cycle ⋮ Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations ⋮ Finding First Foliation Tangencies in the Lorenz System ⋮ Generalized Mandelbrot and Julia Sets in a Family of Planar Angle-Doubling Maps ⋮ A Contour Algorithm for Computing Stable Fiber Bundles of Nonautonomous, Noninvertible Maps ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0} ⋮ Chaos and Wild Chaos in Lorenz-Type Systems

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