An asymptotic universal focal decomposition for non-isochronous potentials

DOI10.1090/S0002-9947-2013-05995-8zbMath1287.37030arXiv0908.0778MaRDI QIDQ5401760

Mauricio Matos Peixoto, C. A. A. de Carvalho, Alberto A. Pinto, Diogo Pinheiro

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0778

zbMATH Keywords

mechanical systemsrenormalizationuniversalityfocal decompositionnon-isochronous potential

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Universality and renormalization of dynamical systems (37E20) Lagrange's equations (70H03) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (1)

Focal decomposition, renormalization and semiclassical physics

Cites Work

• On end-point boundary value problems
• The Teichmüller space of an Anosov diffeomorphism of \(T^ 2\)
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• A renormalization approach to invariant circles in area-preserving maps
• The universal metric properties of nonlinear transformations
• Rigidity and renormalization in one dimensional dynamical systems
• The periodic points of renormalization
• Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
• Semiclassical series at finite temperature
• Asymptotic differentiable structure on Cantor set
• Renormalization horseshoe for critical circle maps
• On Brillouin zones
• Quantitative universality for a class of nonlinear transformations
• Rigidity of \(C^2\) infinitely renormalizable unimodal maps
• Rigidity of critical circle mappings. I
• Dual variational methods in critical point theory and applications
• Global hyperbolicity of renormalization for \(C^r\) unimodal mappings
• Small distance behaviour in field theory and power counting
• The theory of caustics and wave front singularities with physical applications
• Renormalization and Focal Decomposition
• Focal decomposition, renormalization and semiclassical physics
• Fine Structures of Hyperbolic Diffeomorphisms
• Characteristic initial data and wavefront singularities in general relativity
• Complex bounds for renormalization of critical circle maps
• Frontiers in complex dynamics
• Safety criteria for aperiodically forced systems
• Focal Decomposition and Some Results of S. Bernstein on the 2-Point Boundary Value Problem
• Lensing and caustic effects on cosmological distances
• Caustics of wavefronts in general relativity
• Smooth classification of geometrically finite one-dimensional maps
• Rigidity of critical circle mappings II
• Isochronous Systems
• Focused tsunami waves
• Focal stability of Riemann metrics
• Quantum Electrodynamics at Small Distances
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