Some questions looking for answers in dynamical systems

DOI10.3934/dcds.2018267WikidataQ129145357 ScholiaQ129145357MaRDI QIDQ6105875

Carles Simó

Publication date: 9 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

strange attractorsopen problemseffective stabilitybreakdown of toriGevrey class propertiesquantitative estimates of diffusionregularity of manifoldsrelation with arithmetic properties

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Dimension theory of smooth dynamical systems (37C45) Collisions in celestial mechanics, regularization (70F16) Lists of open problems (00A27)

Related Items

Birkhoff averages and rotational invariant circles for area-preserving maps, Hamiltonian and reversible systems with smooth families of invariant tori, Global properties of generic real-analytic nearly-integrable Hamiltonian systems, A differential Galois approach to path integrals, On the \(C^{8/3}\)-regularisation of simultaneous binary collisions in the collinear 4-body problem, On the C ^8/3-regularisation of simultaneous binary collisions in the planar four-body problem

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