Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
type: Item
instance of: scholarly article
title: Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
zbMATH Open document ID: 1479.37060
author: Daniela Cárcamo-Díaz
author: Claudio Vidal
author: Patricia Yanguas
author: Jesús F. Palacián
published in: Discrete and Continuous Dynamical Systems
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 37J25
Mathematics Subject Classification ID: 70H14
Mathematics Subject Classification ID: 70K42
zbMATH DE Number: 7393880
zbMATH Keywords: elliptic equilibria
zbMATH Keywords: resonances
zbMATH Keywords: formal stability
zbMATH Keywords: Lie stability
zbMATH Keywords: exponential time estimates
Wikidata QID: Q115483821
MaRDI profile type: Publication
full work available at URL: dcds.2021073
OpenAlex ID: W3159239234
cites work: Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem
cites work: Super-exponential stability for generic real-analytic elliptic equilibrium points
cites work: Q5535170
cites work: Stability of equilibria and fixed points of conservative systems
cites work: Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of a single resonance and an invariant ray
cites work: Instability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom under the existence of multiple resonances and an application to the spatial satellite problem
cites work: On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
cites work: Higher-order averaging, formal series and numerical integration. III: Error bounds
cites work: Asymptotic stability estimates near an equilibrium point
cites work: Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
cites work: Q3822488
cites work: Formal stability of Hamiltonian systems
cites work: The steep Nekhoroshev's theorem
cites work: Diffusion and stability in perturbed non-convex integrable systems
cites work: On the stability of Hamiltonian systems in the presence of resonances
cites work: Interaction of third-order resonances in problems of the stability of Hamiltonian systems
cites work: Small vibrations of one-dimensional moving bodies
cites work: Complex analysis and convolution operators
cites work: Q5585213
cites work: Q5151953
cites work: Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
cites work: Normally stable Hamiltonian systems
cites work: Q3226978
cites work: New aspects in the theory of stability of Hamiltonian systems
cites work: The separation of motions in systems with rapidly rotating phase
cites work: AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
cites work: Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system
cites work: Prevalence of exponential stability among nearly integrable Hamiltonian systems
cites work: Q4239472
cites work: Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance
cites work: Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances
cites work: Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case
cites work: On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev
cites work: Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
cites work: On the stability of autonomous systems in the presence of several resonances
DOI: 10.3934/DCDS.2021073
description: scientific article; zbMATH DE number 7393880