On the ``hidden'' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
type: Item
instance of: scholarly article
title: On the ``hidden'' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena
zbMATH Open document ID: 1410.37023
DOI: 10.1134/S1560354718060011
author: Ernest Fontich
author: Carles Simó
author: Arturo Vieiro
published in: Regular and Chaotic Dynamics
publication date: 2019-04-26T00:00:00Z
Mathematics Subject Classification ID: 37C55
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J45
zbMATH DE Number: 7048240
zbMATH Keywords: quasi-periodic splitting
zbMATH Keywords: dominant harmonics
zbMATH Keywords: hidden harmonics
zbMATH Keywords: irrational numbers properties
Wikidata QID: Q60692536
describes a project that uses: PARI/GP
MaRDI profile type: Publication
cites work: Exponentially small splitting of separatrices under fast quasiperiodic forcing
cites work: Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type
cites work: Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio
cites work: Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
cites work: Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems
cites work: Exponentially small splitting for whiskered tori in Hamiltonian systems: continuation of transverse homoclinic orbits
cites work: Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
cites work: Splitting of the separatrices after a Hamiltonian–Hopf bifurcation under periodic forcing
cites work: Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example
cites work: Q5727753
cites work: The Hamiltonian Hopf bifurcation: an elementary perturbative approach
cites work: Q5829356
cites work: On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems
cites work: The evolution of invariant manifolds in Hamiltonian-Hopf bifurcations
cites work: Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
cites work: Q3294369
cites work: Stable and Random Motions in Dynamical Systems
cites work: Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field
cites work: Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems
cites work: Q4945330
cites work: Q4867190
cites work: A formal approximation of the splitting of separatrices in the classical Arnold's example of diffusion with two equal parameters
cites work: On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
cites work: Nonsemisimple 1?1 resonance at an equilibrium
full work available at URL: s1560354718060011
OpenAlex ID: W2904103855
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description: scientific article; zbMATH DE number 7048240