The real analytic Feigenbaum–Coullet–Tresser attractor in the disc
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Publication:3069840
DOI10.1080/14689361003785727zbMath1204.37052arXiv0805.1152OpenAlexW2127108021MaRDI QIDQ3069840
Marcelo Cerminara, Eleonora Catsigeras, Heber Enrich
Publication date: 20 January 2011
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.1152
Bifurcation theory for ordinary differential equations (34C23) Attractors of solutions to ordinary differential equations (34D45) Dynamical aspects of attractors and their bifurcations (37G35) Manifolds of mappings (58D15)
Related Items (1)
Cites Work
- The universal metric properties of nonlinear transformations
- Period doubling bifurcations for families of maps on \(R^ n\)
- Self-similar constructions in smooth dynamics: Rigidity, smoothness and dimension
- Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
- Homoclinic tangencies near cascades of period doubling bifurcations
- Persistence of the Feigenbaum attractor in one-parameter families
- A complete proof of the Feigenbaum conjectures
- Quantitative universality for a class of nonlinear transformations
- Period doubling for \(C^{2+\epsilon}\) mappings
- A computer-assisted proof of the Feigenbaum conjectures
- Cascades of period doubling bifurcations inndimensions
- Rigidity of critical circle mappings II
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