``Critical phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams
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Publication:1359258
DOI10.1016/S0167-2789(97)00005-5zbMath0894.58063arXivchao-dyn/9604019OpenAlexW2015645086MaRDI QIDQ1359258
Jukka A. Ketoja, Indubala I. Satija
Publication date: 26 June 1997
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9604019
Vibrations in dynamical problems in solid mechanics (74H45) Applications of dynamical systems (37N99)
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Cites Work
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- The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
- Chaotic trajectories in the standard map. The concept of anti- integrability
- Effective discommensurations in the incommensurate ground states of the extended Frenkel-Kontorowa models
- Almost periodic Schrödinger operators: A review
- Scaling exponents at the transition by breaking of analyticity for incommensurate structures
- A renormalization approach to invariant circles in area-preserving maps
- Absence of localization in a class of Schrödinger operators with quasiperiodic potential
- Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
- Cantori for multiharmonic maps
- The one to two-hole transition for cantori
- Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps
- Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps
- Algorithm 719: Multiprecision translation and execution of FORTRAN programs
- Universal criterion for the breakup of invariant tori in dissipative systems
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