Homoclinic Loops, Heteroclinic Cycles, and Rank One Dynamics

DOI10.1137/140995659zbMath1376.37058OpenAlexW2091829078MaRDI QIDQ5253176

William Ott, Anushaya Mohapatra

Publication date: 4 June 2015

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

Full work available at URL: https://semanticscholar.org/paper/c7044e3c61096e70676f44d05a2ba4492ff71e9e

zbMATH Keywords

heteroclinic cycleSRB measurehomoclinic loopstrange attractorheteroclinic bifurcationnonuniformly hyperbolic dynamicssaddle point shear

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (4)

Large strange attractors in the unfolding of a heteroclinic attractor ⋮ Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network ⋮ Rank-one strange attractors \textit{versus} heteroclinic tangles ⋮ Heteroclinic networks in homogeneous and heterogeneous identical cell systems

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