Natural boundaries for Hamiltonian maps and the genesis of the Siegel disk
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Publication:4492111
DOI10.1103/PHYSREVLETT.71.2513zbMath0972.37517OpenAlexW2005365124WikidataQ74539946 ScholiaQ74539946MaRDI QIDQ4492111
Ruifeng Xie, Giorgio Turchetti, Luca Billi
Publication date: 16 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrevlett.71.2513
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Cites Work
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- Are there critical points on the boundaries of singular domains?
- Linearization of Hamiltonian systems, Jacobi varieties and representation theory
- Completely integrable systems, Euclidean Lie algebras, and curves
- Critical functions for complex analytic maps
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- Singularities of normal forms and topology of orbits in area-preserving maps
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