Some remarks on the abundance of stable periodic orbits inside homoclinic lobes
type: Item
instance of: scholarly article
title: Some remarks on the abundance of stable periodic orbits inside homoclinic lobes
zbMATH Open document ID: 1244.37039
author: Carles Simó
author: Arturo Vieiro
published in: Physica D
publication date: 2012-01-04T00:00:00Z
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 37D10
zbMATH DE Number: 5994488
zbMATH Keywords: dynamical systems
zbMATH Keywords: return maps
zbMATH Keywords: stability islands
zbMATH Keywords: chaos
zbMATH Keywords: ergodicity
describes a project that uses: PARI/GP
MaRDI profile type: Publication
full work available at URL: j.physd.2011.09.007
OpenAlex ID: W2087084684
cites work: Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones
cites work: Stable periodic motions in the problem on passage through a separatrix
cites work: Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems
cites work: On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems
cites work: Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
cites work: Islands of accelerator modes and homoclinic tangles
cites work: Distribution of periodic orbits and the homoclinic tangle
cites work: Stability islands in the vicinity of separatrices of near-integrable symplectic maps
cites work: Q4285310
cites work: Exponentially small splitting of invariant manifolds of parabolic points
cites work: Geometric and statistical properties induced by separatrix crossings in volume-preserving systems
cites work: Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps
cites work: Separatrix maps in Hamiltonian systems
cites work: Towards global models near homoclinic tangencies of dissipative diffeomorphisms
cites work: Near threshold anomalous transport in the standard map
cites work: Dynamical traps
cites work: Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance
cites work: Q3315057
DOI: 10.1016/J.PHYSD.2011.09.007
description: scientific article; zbMATH DE number 5994488