Results 231 to 240 of about 24,687,007 (292)
The Physical Spectrum of a Driven Jaynes-Cummings Model. [PDF]
Entropy (Basel)Medina-Dozal L +6 more
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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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Hamiltonian-Driven Adaptive Dynamic Programming With Efficient Experience Replay
IEEE Transactions on Neural Networks and Learning Systems, 2022This article presents a novel efficient experience-replay-based adaptive dynamic programming (ADP) for the optimal control problem of a class of nonlinear dynamical systems within the Hamiltonian-driven framework.
Yongliang Yang +3 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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2000
Abstract When a system involves no dissipative mechanisms such as friction, we say that the system is conservative because its total energy is conserved and the behaviour is described by a time-independent Hamiltonian function. In that case, the notion of attractor no longer applies. Different initial conditions (starting points in state
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Abstract When a system involves no dissipative mechanisms such as friction, we say that the system is conservative because its total energy is conserved and the behaviour is described by a time-independent Hamiltonian function. In that case, the notion of attractor no longer applies. Different initial conditions (starting points in state
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Dynamical systems that are amenable to formulation in terms of a Hamiltonian function or operator encompass a vast swath of fundamental cases in applied mathematics and physics. This carefully edited volume represents work carried out during the special program on Hamiltonian Systems at MSRI in the Fall of 2018.
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Behavior of Hamiltonian systems close to integrable
Hamiltonian Dynamical Systems, 2020N. Nekhoroshev
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