Typical coexistence of infinitely many strange attractors
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Publication:2678950
DOI10.1007/s00209-022-03183-5OpenAlexW3132483183MaRDI QIDQ2678950
Juan David Rojas, Pablo G. Barrientos
Publication date: 18 January 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08316
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
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Cites Work
- The dynamics of the Hénon map
- Bifurcation to infinitely many sinks
- High dimension diffeomorphisms exhibiting infinitely many strange attractors
- A two-dimensional mapping with a strange attractor
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- Infinitely many coexisting strange attractors
- Abundance of strange attractors
- High dimension diffeomorphisms displaying infinitely many periodic attractors
- Coexistence and persistence of strange attractors
- Emergence and non-typicality of the finiteness of the attractors in many topologies
- Strange attractors in saddle-node cycles: Prevalence and globality
- Robust degenerate unfoldings of cycles and tangencies
- Generic family with robustly infinitely many sinks
- Coexistence and persistence of infinitely many strange attractors
- Abundance of $C^{1}$-robust homoclinic tangencies
- Introduction to Smooth Manifolds
- On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I
- Strange attractors in higher dimensions
- Robust tangencies of large codimension
- Persistence of homoclinic tangencies in higher dimensions
- On the Borel-Cantelli Problem
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