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math.DS2017★ 5 cited
A complete characterization of exponential stability for discrete dynamics
Nicolae Lupa, Liviu Horia Popescu
For a discrete dynamics defined by a sequence of bounded and not necessarily invertible linear operators, we give a complete characterization of exponential stability in terms of i…
math.DG2017
Symmetries and conservation laws of Hamiltonian systems
Liviu Popescu
In this paper we study the infinitesimal symmetries, Newtonoid vector fields, infinitesimal Noether symmetries and conservation laws of Hamiltonian systems. Using the dynamical cov…