Multichaos from Quasiperiodicity

DOI10.1137/17M1113199zbMath1381.37015arXiv1512.03174OpenAlexW3104030600MaRDI QIDQ4601205

Suddhasattwa Das, James A. Yorke

Publication date: 12 January 2018

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

Full work available at URL: https://arxiv.org/abs/1512.03174

zbMATH Keywords

transitive maptorus mapunstable dimension variability

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (5)

Low-dimensional paradigms for high-dimensional hetero-chaos ⋮ Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps ⋮ A constructive approach to robust chaos using invariant manifolds and expanding cones ⋮ Piecewise linear maps with heterogeneous chaos ⋮ Unnamed Item

Cites Work

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• Hölder foliations
• The qualitative analysis of a difference equation of population growth
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Unstable dimension variability: A source of nonhyperbolicity in chaotic systems
• Persistent nonhyperbolic transitive diffeomorphisms
• Certain new robust properties of invariant sets and attractors of dynamical systems
• Pseudo-orbit shadowing in the \(C^1\) topology
• On redefining a snap-back repeller
• Milnor attractors and topological attractors of a piecewise linear map
• Semiconjugacies to angle-doubling
• ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
• Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
• Symmetry breaking bifurcation for coupled chaotic attractors
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Defining chaos
• An open set of maps for which every point is absolutely nonshadowable
• Robust nonhyperbolic dynamics and heterodimensional cycles
• The Many Facets of Chaos
• Blenders in centre unstable Hénon-like families: with an application to heterodimensional bifurcations
• The regularity of central leaves of partially hyperbolic sets and its applications
• Shorter Notes: A 3-Dimensional Abraham-Smale Example

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