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Quantum charge transport in DNA and RNA systems coupled to nanoribbon electrodes. [PDF]
Mousavi H.
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Surprisal Analysis-Based Compaction of Entangled Molecular States of Maximal Entropy. [PDF]
Hamilton JR, Remacle F, Levine RD.
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On the Hamiltonian Flow of Brake Hamiltonian System
Applied Mechanics and Materials, 2013This 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
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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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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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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.
openaire +1 more source

