Results 121 to 130 of about 28,061 (167)

On the Hamiltonian Flow of Brake Hamiltonian System

Applied Mechanics and Materials, 2013
This paper studies the Hamiltonian flow of the brake Hamiltonian dynamical system on the symmetrical symplectic manifold. By using the transformation law of Hamiltonian diffeomorphisms and the Hamiltonian vectors, this paper describes the characteristics of the Hamiltonian flows and proves that the Hamiltonian flows are invariant under some ...
Da Wei Sun, Jia Rui Liu
exaly   +2 more sources

Hamiltonian Systems with Convex Hamiltonians

2004
A well-known theorem states that if a level surface of a Hamiltonian is convex, then it contains a periodic trajectory of the Hamiltonian system [142], [147]. In this chapter we prove a more general statement as an application of optimal control theory for linear systems.
Andrei A. Agrachev, Yuri L. Sachkov
openaire   +1 more source

On generalized hamiltonian systems

Acta Mathematicae Applicatae Sinica, 2001
It is known that a symplectic form is invariant along the trajectory of a Hamiltonian system. Based on this fundamental property, certain techniques have been developed. The aim of this paper is to extend such an approach to a wider class of dynamical systems, namely, generalized Hamiltonian systems.
Cheng, Daizhan   +3 more
openaire   +2 more sources

Transport in Hamiltonian Systems

Physica D: Nonlinear Phenomena, 1984
The authors develop a theory of transport in Hamiltonian systems in the context of iteration of area-preserving maps. Invariant closed curves present complete barriers to transport, but in regions without such curves there are still invariant Cantor sets. In the regular components the motion is quasiperiodic and orbits lie in the KAM tori.
Mackay, R. S.   +2 more
openaire   +1 more source

Diffusion in Hamiltonian systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998
The study is reported of a diffusion in a model of degenerate Hamiltonian systems. The Hamiltonian under consideration is the sum of a linear function of action variables and a periodic function of angle variables. Under certain choices of these functions the diffusion of action variables exists. In the case of two degrees of freedom during the process
Kozlov, V. V., Moshchevitin, N. G.
openaire   +2 more sources

Scaling Hamiltonian Systems

SIAM Journal on Mathematical Analysis, 1984
Scaling techniques are very important and powerful means to simplify dynamical problems. In this clearly written survey paper a detailed discussion of scaling of variables for Hamiltonian systems is presented by introducing a series of examples of increasing complexity.
openaire   +1 more source

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