Results 91 to 100 of about 134,686 (230)
Electronic Journal of Differential Equations, 2016 In this article, we use critical point theory to obtain multiple periodic solutions for second-order discrete Hamiltonian systems, when the nonlinearity is partially periodic and its gradient is linearly and sublinearly bounded.
Qin Jiang, Sheng Ma, Zhihua Hu
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Backlund transformations and Hamiltonian flows
, 2013 In this work we show that, under certain conditions, parametric Backlund transformations (BTs) for a finite dimensional integrable system can be interpreted as solutions to the equations of motion defined by an associated non-autonomous Hamiltonian.
Bobenko A I +8 more
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Stopping Power of Electron Liquid for Slow Quantum Projectiles
Contributions to Plasma Physics, EarlyView.ABSTRACT We revisit the problem of the deceleration of a charge moving in a medium. In the low‐velocity limit of the projectile, we construct the fully nonlinear (in the charge–target interaction) theory of the stopping power (SP), which goes beyond the classical Ehrenfest dynamics.
Vladimir U. Nazarov, E. K. U. Gross
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Variational Discretizations for Hamiltonian Systems
25pages, 9 ...
Shen, Yihan, Sun, Yajuan
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Hamiltonian systems with a discrete symmetry
Journal of Differential Equations, 1981 AbstractIf ƒ: M → M is an antisymplectic involution of a symplectic manifold M then the fixed set of ƒ is a Lagrangian submanifold L ⊂ M. Moreover there exist cotangent bundle coordinates in a neighborhood of L in M such that ƒ in these coordinates maps a covector into its negative.
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A review of some geometric integrators
Advanced Modeling and Simulation in Engineering Sciences, 2018 Some of the most important geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in mechanics.
Dina Razafindralandy +2 more
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Quantum features in statistical observations of "timeless" classical systems
, 2003 We pursue the view that quantum theory may be an emergent structure related to large space-time scales. In particular, we consider classical Hamiltonian systems in which the intrinsic proper time evolution parameter is related through a probability ...
't Hooft, Elze, Elze, H.-T. Elze
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Confined Hot Carrier Cooling Via Excited‐State Energy Gap Engineering in Graphyne Carbon Allotropes
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.The excited‐state energy gap (EEG), regulated by the concentration of sp‐hybridized carbon, provides an effective handle for tuning electron–phonon coupling behavior. This design enables long‐lived confinement of hot carriers near the top of the EEG with controllable energy levels.
Fulong Dai +9 more
wiley +1 more source
Time-discretization of Hamiltonian dynamical systems
Computers & Mathematics with Applications, 1994 Difference equations for Hamiltonian systems are derived from a discrete variational principle (DTH -- discrete time Hamiltonian). This article is focused on the basic ideas of DTH dynamics for the case of autonomous systems with one degree of freedom. Variational principles of mechanical systems are recalled in section 2. Section 3 introduces notation
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Multiple periodic solutions for a fourth-order discrete Hamiltonian system [PDF]
Surveys in Mathematics and its Applications, 2010 By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system Δ4u(t-2)+∇ F(t,u(t))=0 ...
Yongkun Li, Jianwen Zhou
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