Non-smooth saddle-node bifurcations I: existence of an SNA

DOI10.1017/etds.2014.92zbMath1353.37082arXiv1307.0347OpenAlexW2014534772MaRDI QIDQ2813943

Gabriel Fuhrmann

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0347

zbMATH Keywords

Lyapunov exponentstrange non-chaotic attractornon-uniformly hyperbolic attractorquasi-periodically forced interval maps

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

On the effect of forcing on fold bifurcations and early-warning signals in population dynamics ⋮ On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors ⋮ Abundance of mode-locking for quasiperiodically forced circle maps ⋮ Rectifiability of a class of invariant measures with one non-vanishing Lyapunov exponent ⋮ Non-smooth saddle-node bifurcations II: Dimensions of strange attractors

Cites Work

• Nonautonomous saddle-node bifurcations: random and deterministic forcing
• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
• A non-autonomous bifurcation theory for deterministic scalar differential equations
• Strange non-chaotic attractors in quasiperiodically forced circle maps
• Dimensions of attractors in pinched skew products
• Dynamics of the quasi-periodic Schrödinger cocycle at the lowest energy in the spectrum
• NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP
• On the structure of strange non-chaotic attractors in pinched skew products
• Lyapunov exponents for some quasi-periodic cocycles
• Quasiperiodically forced interval maps with negative Schwarzian derivative
• Transitive sets for quasi-periodically forced monotone maps
• Universal asymptotics in hyperbolicity breakdown
• MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP

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