Interpolating vector fields for near identity maps and averaging

DOI10.1088/1361-6544/aacb8ezbMath1406.37059arXiv1711.01983OpenAlexW3099586756WikidataQ129432828 ScholiaQ129432828MaRDI QIDQ4578144

Arturo Vieiro, Vassili Gelfreich

Publication date: 8 August 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01983

zbMATH Keywords

interpolationadiabatic invariantaveragingPoincaré sectionstandard mapnear identity maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Averaging for functional-differential equations (34K33)

Related Items (2)

Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems ⋮ Dynamical effects of loss of cooperation in discrete-time hypercycles

Cites Work

• The speed of Arnold diffusion
• The separation of motions in systems with rapidly rotating phase
• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Dynamics of 4D symplectic maps near a double resonance
• Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms
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