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math.DS2012
Stability of nearly-integrable systems with dissipation
Alessandra Celletti, Christoph Lhotka
We study the stability of a vector field associated to a nearly-integrable Hamiltonian dynamical system to which a dissipation is added. Such a system is governed by two parameters…
math.DS2012★ 1 cited
Stability estimates of nearly-integrable systems with dissipation and non-resonant frequency
Alessandra Celletti, Christoph Lhotka
We consider a dissipative vector field which is represented by a nearly-integrable Hamiltonian flow to which a non symplectic force is added, so that the phase space volume is not…