On the control of stability of periodic orbits of completely integrable systems

DOI10.3934/JGM.2015.7.109zbMath1344.37026arXiv1311.1184OpenAlexW3100912896MaRDI QIDQ888754

Răzvan M. Tudoran

Publication date: 2 November 2015

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1184

zbMATH Keywords

stabilitycontrolperiodic orbitsdissipative dynamicscharacteristic multipliers

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75) Stability problems in rigid body dynamics (70E50)

Related Items (1)

Asymptotic stabilization with phase of periodic orbits of three-dimensional Hamiltonian systems

Cites Work

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• On the stability of periodic orbits for differential systems in \(\mathbb{R}^n\)
• Affine distributions on Riemannian manifolds with applications to dissipative dynamics
• NEW ASPECTS ON THE GEOMETRY AND DYNAMICS OF QUADRATIC HAMILTONIAN SYSTEMS ON (𝔰𝔬(3))*
• Asymptoic Stability of Dissipated Hamilton–Poisson Systems
• Asymptotic stability for a class of metriplectic systems
• Ordinary Differential Equations

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