Equivalence of energy methods in stability theory

DOI10.1063/1.2716201zbMath1137.34338arXivmath/0601465OpenAlexW3102948792MaRDI QIDQ3442272

Mircea Puta, Petre Birtea

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601465

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Stability problems in rigid body dynamics (70E50) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items

ON THE STABILITY PROBLEM FOR THE $\mathfrak{so}(5)$ FREE RIGID BODY ⋮ An underactuated drift-free left invariant control system on a specific Lie group ⋮ The stability problem for the torque-free gyrostat investigated by using algebraic methods ⋮ Stability of equilibria for the \(\mathfrak{so}(4)\) free rigid body ⋮ Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems ⋮ Hamilton-Poisson realizations for the Lü system ⋮ ENERGY METHODS IN THE STABILITY PROBLEM FOR THE 𝔰𝔬(4) FREE RIGID BODY

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