Stability for manifolds of equilibrium state of generalized Hamiltonian system with additional terms

DOI10.1007/s11071-012-0743-1zbMath1268.34103OpenAlexW1980739801MaRDI QIDQ355033

Wang Peng, Lin Li, Yan-Li Xu, Shao-Kai Luo

Publication date: 22 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0743-1

zbMATH Keywords

stabilitygeneralized Hamiltonian system with additional termmanifold of equilibrium state

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (5)

Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms ⋮ Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems ⋮ Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives ⋮ A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications ⋮ Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems

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