Results 261 to 270 of about 50,524 (308)
Mapping of fermionic lattice models for Ising solvers. [PDF]
Sci RepNagpal L, Kumar A, Hassan SR.
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On generalized hamiltonian systems
Acta Mathematicae Applicatae Sinica, 2001It 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
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Transport in Hamiltonian Systems
Physica D: Nonlinear Phenomena, 1984The 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
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Hamiltonian Systems with Convex Hamiltonians
2004A 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
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Diffusion in Hamiltonian systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1998The 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.
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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.
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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.
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BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS
International Journal of Bifurcation and Chaos, 2010This paper deals with the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom of Hamiltonian systems. These numerical methods are based on the computation of the OFLI2 Chaos Indicator, the Crash Test and exit basins and the skeleton of symmetric periodic orbits.
Roberto Barrio +2 more
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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1987
Abstract Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems ...
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Abstract Modern developments in hamiltonian dynamics are described, showing the change of view that has occurred in the last few decades. The properties of mixed systems, which exhibit both regular and chaotic motion are contrasted with those of the integrable systems, for which the motion is entirely regular, and of Anosov systems ...
openaire +1 more source