A renormalization group fixed point associated with the breakup of golden invariant tori
Copyright policy )A renormalization group fixed point associated with the breakup of golden invariant tori
Renormalization group methods for Hamiltonian flows and related maps were introduced as a tool for explaining the breakup of golden invariant tori. Since then, these methods have been developed further and extended to other systems, but one of the main problems remained open, namely, the existence of a nontrivial renormalization group fixed-point. The present paper provides a computed-assisted proof, using the programming language ADA95, for the existence of such a fixed-point.
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Hamiltonian flow, Nearly integrable Hamiltonian systems, KAM theory, Universality and renormalization of dynamical systems, renormalization group, golden ratio, Renormalization group methods in equilibrium statistical mechanics, Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Hamiltonian flow, Nearly integrable Hamiltonian systems, KAM theory, Universality and renormalization of dynamical systems, renormalization group, golden ratio, Renormalization group methods in equilibrium statistical mechanics, Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).39 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!