Results 231 to 240 of about 77,069 (262)

Area-Preservation Mapping using Optimal Mass Transport

IEEE Transactions on Visualization and Computer Graphics, 2013
We present a novel area-preservation mapping/flattening method using the optimal mass transport technique, based on the Monge-Brenier theory. Our optimal transport map approach is rigorous and solid in theory, efficient and parallel in computation, yet general for various applications. By comparison with the conventional Monge-Kantorovich approach, our
Xin Zhao 0015, Zhengyu Su, Xianfeng David Gu, Arie E. Kaufman, Jian Sun 0002, Jie Gao 0001, Feng Luo 0002   +6 more
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A condition for an area-preserving mapping to be in the Engel’s form

Journal of Mathematical Physics, 2000
We establish explicit expressions of restrictions on the coefficients of nonlinear terms in a two-dimensional area-preserving polynomial map imposed by the property of area preserving. We also establish a necessary and sufficient condition for a two-dimensional area-preserving generic polynomial map to be in the Engel’s form.
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Perturbations of Area Preserving Mappings

1972
According to Liouville’s Theorem, flow of a conservative system in phase space is measure preserving that is, the volume is conserved.
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NONTWIST AREA PRESERVING MAPS WITH REVERSING SYMMETRY GROUP

International Journal of Bifurcation and Chaos, 2001
The aim of this paper is to give a theoretical explanation of the rich phenomenology exhibited by nontwist mappings of the cylinder, in numerical experiments reported in [del-Castillo et al., 1996; Howard & Humpherys, 1995], and to give new insights on the dynamics of nontwist standard-like maps.
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Bifurcations in 2D Area-Preserving Mappings

1984
We consider a class of two-dimensional area-preserving mappings of $$T:{x_{n + 1}} = 2h\left( {{x_n}} \right) - {y_n};{y_{n + 1}} = {x_n}.$$ (1)
K.-C. Lee, S. Y. Kim, D.-I. Choi
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On Certain Area-Preserving Maps

The Annals of Mathematics, 1935
Brown, Arthur B., Halperin, M.
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Quantum levels of area-preserving maps

Physica D: Nonlinear Phenomena, 1988
A method is given for quantizing volume-preserving polynomial mappings, using Heisenberg's matrix formulation of quantum mechanics. The energy levels of the linear map are obtained exactly and those of the quadratic, nonintegrable, Hénon map approximately and numerically.
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Introduction to the dynamics of area–preserving maps

AIP Conference Proceedings, 1987
Confinement of charged particles in electromagnetic fields, plasma heating, intermolecular dynamics, etc. can all be modeled by Hamiltonian systems dq/dt=∂H(q,p,t)/∂p dp/dt=−∂H(q,p,t)/∂q where q and p are n−dimensional, H is the Hamiltonian, n the number of degrees of freedom, and (p,q) is the phase space. These lectures are structured to describe such
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On conformal points of area preserving maps and related topics

Journal of Geometry and Physics, 2022
Serge Tabachnikov, Peter Albers
exaly  

Subdiffusive transients in area-preserving mappings

Physical Review E, 1994
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