Results 21 to 30 of about 1,079 (166)
Multiple phases and meromorphic deformations of unitary matrix models
Nuclear Physics B, 2022 We study a unitary matrix model with Gross–Witten–Wadia weight function and determinant insertions. After some exact evaluations, we characterize the intricate phase diagram. There are five possible phases: an ungapped phase, two different one-cut gapped
Leonardo Santilli, Miguel Tierz
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Symplectic Integration and Nonlinear Dynamic Symmetry Breaking of Frames
Shock and Vibration, 1995 An accurate beam finite element is used to solve nonlinear vibration of arched beams and framed structures. The nonlinear governing equations of a skeletal structure are integrated numerically using symplectic integration schemes so that the Poincaré ...
S.G. Mao, A.Y.T. Leung
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Para-Hamiltonian form for General Autonomous ODE Systems: Introductory Results
Entropy, 2022 We propose a new tool to deal with autonomous ODE systems for which the solution to the Hamiltonian inverse problem is not available in the usual, classical sense.
Artur Kobus, Jan L. Cieśliński
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Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order
The Scientific World Journal, 2014 The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented.
Y. H. Cong, C. X. Jiang
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Collective symplectic integrators [PDF]
Nonlinearity, 2014 We construct symplectic integrators for Lie-Poisson systems. The integrators are standard symplectic (partitioned) Runge--Kutta methods. Their phase space is a symplectic vector space with a Hamiltonian action with momentum map $J$ whose range is the target Lie--Poisson manifold, and their Hamiltonian is collective, that is, it is the target ...
Robert I McLachlan +2 more
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Integration over families of Lagrangian submanifolds in BV formalism
Nuclear Physics B, 2018 Gauge fixing is interpreted in BV formalism as a choice of Lagrangian submanifold in an odd symplectic manifold (the BV phase space). A natural construction defines an integration procedure on families of Lagrangian submanifolds.
Andrei Mikhailov
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The accuracy of symplectic integrators [PDF]
Nonlinearity, 1992 The authors study symplectic integrators by the accuracy with which they represent the Hamiltonian function. This accuracy is computed, compared and tested for several different methods. The authors develop new, highly accurate explicit fourth- and fifth-order methods valid when the Hamiltonian is separable with quadratic kinetic energy.
McLachlan, Robert I., Atela, Pau
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nlchains: A fast and accurate time integration of 1-D nonlinear chains on GPUs
SoftwareX, 2019 We present nlchains, a software for simulating ensembles of one-dimensional Hamiltonian systems with nearest neighbor interactions. The implemented models are the α-β Fermi–Pasta–Ulam–Tsingou model, the discrete nonlinear Klein–Gordon model with equal or
L. Pistone, M. Onorato
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Entropy, 2016 The Hamiltonian character of the ray tracing equations describing the propagation of the Lower Hybrid Wave (LHW) in a magnetic confined plasma device (tokamak) is investigated in order to study the evolution of the parallel wave number along the ...
Andrea Casolari, Alessandro Cardinali
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Applied Mathematics in Science and EngineeringDissipative and constrained dynamical systems model various physical phenomena comprising damping and constraining forces. These forces give rise to specific geometric properties of the dynamical system's governing equations. In this paper, we reduce and
Vidushi Sachan, Ashish Bhatt
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