Metric universalities and systems of renormalization group equations for bimodal maps
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Publication:1878211
DOI10.1016/j.chaos.2003.12.049zbMath1048.37041OpenAlexW1983168230MaRDI QIDQ1878211
Publication date: 19 August 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.049
Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)
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Cites Work
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- Some flesh on the skeleton: the bifurcation structure of bimodal maps
- Explicit renormalisation in piecewise linear bimodal maps
- The universal metric properties of nonlinear transformations
- Fixed points of Feigenbaum's type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\)
- Period doubling in maps with a maximum of order
- On the abundance of aperiodic behaviour for maps on the interval
- Renormalization of \(C^ 0\) bimodal maps
- A variety of period-doubling universality classes in multi-parameter analysis of transition to chaos
- The generalized Milnor-Thurston conjecture and equal topological entropy class in symbolic dynamics of order topological space of three letters
- A complete proof of the Feigenbaum conjectures
- Quantitative universality for a class of nonlinear transformations
- Three-parameter scaling for one-dimensional maps
- Dual star products and metric universality in symbolic dynamics of three letters.
- On finite limit sets for transformations on the unit interval
- Period doubling for bimodal maps: a horseshoe for a renormalisation operator
- A computer-assisted proof of the Feigenbaum conjectures
- TWO-PARAMETER STUDY OF TRANSITION TO CHAOS IN CHUA'S CIRCUIT: RENORMALIZATION GROUP, UNIVERSALITY AND SCALING
- Analytic Solutions of the Cvitanović–Feigenbaum and Feigenbaum–Kadanoff–Shenker Equations
- Existence and properties of \(p\)-tupling fixed points
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