This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time goes to minus infinity. This is done by means of some examples. In particular, we show that a weakly unstable equilibrium point can be stable for the linearized vector field.
Titolo: | Weak instability of Hamiltonian equilibria. |
Autori: | |
Data di pubblicazione: | 2012 |
Rivista: | |
Abstract: | This is an expository paper on Lyapunov stability of equilibria of autonomous Hamiltonian systems. Our aim is to clarify the concept of weak instability, namely instability without non-constant motions which have the equilibrium as limit point as time goes to minus infinity. This is done by means of some examples. In particular, we show that a weakly unstable equilibrium point can be stable for the linearized vector field. |
Handle: | http://hdl.handle.net/11562/619356 |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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