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Manifold stability of equilibrium state of autonomous generalized Birkhoff system. (Chinese. English summary) Zbl 1224.70013

Summary: Manifold stability of the equilibrium state of an autonomous generalized Birkhoff system is studied. The perturbation equation and equilibrium equation of an autonomous generalized Birkhoff system are established. The corresponding criteria for manifold stability are given by the Lyapunov stability theory. Finally, an example is presented to illustrate these results.

MSC:

70H14 Stability problems for problems in Hamiltonian and Lagrangian mechanics
37J25 Stability problems for finite-dimensional Hamiltonian and Lagrangian systems
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