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Journals and Conferences
Using the framework of metriplectic systems on Rn we will describe a constructive geometric method to add a dissipation term to a Hamilton-Poisson system such that any solution starting in a… (More)
We will prove the equivalence of three methods, the so called energy methods, for establishing the stability of an equilibrium point for a dynamical system. We will illustrate by examples that this… (More)
For simple mechanical systems, bifurcating branches of relative equilibria with trivial symmetry from a given set of relative equilibria with toral symmetry are found. Lyapunov stability conditions… (More)
An optimal control problem for the spacecraft dynamics is discussed and some of its properties are pointed out.
As an important application of chaotic dynamical systems, chaos-based secure communication and cryptography attracted continuous interest over the last decade. It studies methods of controlling… (More)
We will prove the presence of chaotic motion in the Lorenz five-component atmospheric system model using the Melnikov function method developed by Holmes and Marsden for Hamiltonian systems on Lie… (More)
We investigate the problem of symmetry breaking in the framework of dynamical systems with symmetry on a smooth manifold. Two cases will be analyzed: general and Hamiltonian dynamical systems. We… (More)
We prove that under some restrictions the ow of a Hamiltonian vector eld on a nite dimensional Poisson manifold exists for all time.