Strange attractors in saddle-node cycles: Prevalence and globality

DOI10.1007/s002220050068zbMath0865.58034OpenAlexW2013602841MaRDI QIDQ1914832

Marcelo Viana, Lorenzo J. Dıaz, Jorge Rocha

Publication date: 13 July 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050068

zbMATH Keywords

Hénon-like strange attractorshyperbolicity of cyclessaddle-node cycles

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Critical saddle-node bifurcations and Morse-Smale maps, Clustering in globally coupled oscillators, Random perturbations and statistical properties of Hénon-like maps, Persistent homoclinic tangencies and the unfolding of cycles, The dynamics of a fold-and-twist map, Lorenz attractor through saddle-node bifurcations, Superpolynomial and polynomial mixing for semiflows and flows, Hopf-homoclinic bifurcations and heterodimensional cycles, Typical coexistence of infinitely many strange attractors, The density of the transversal homoclinic points in the Hénon-like strange attractors, Non-critical saddle-node cycles and robust non-hyperbolic dynamics, Singular heteroclinic cycles, Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble', Singular strange attractors on the boundary of Morse-Smale systems, A cubic Hénon-like map in the unfolding of degenerate homoclinic orbit with resonance, A starting condition approach to parameter distortion in generalized renormalization, Abundance of non-uniform hyperbolicity in bifurcations of surface endomorphisms, Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes, Statistical stability of saddle-node arcs, Strange Attractors for Periodically Forced Parabolic Equations, Rapid decay of correlations for nonuniformly hyperbolic flows