Results 221 to 230 of about 77,069 (262)

Area preserving mappings that are not reversible

Physics Letters A, 1992
Abstract Reversible mappings are those possessing a (discrete) time reversal symmetry. We present a class of area preserving mappings that are not reversible, which is equivalent to showing that these mappings cannot be written as the composition of two involutions.
J.A.G. Roberts, H.W. Capel
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Area-preserving piecewise affine mappings

Proceedings of the seventeenth annual symposium on Computational geometry, 2001
For any two polygons that have the same area, we show how to construct isomorphic triangulations that have additional area-correspondence properties. We use those isomorphic triangulations to prove that there always exist everywhere-area-preserving piecewise-affine homeomorphisms between any two simple polygons of the same area.
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Resonances in area-preserving maps

Physica D: Nonlinear Phenomena, 1987
A resonance for an area-preserving map is a region of phase space delineated by ''partial separatrices'', curves formed from pieces of the stable and unstable manifold of hyperbolic periodic points. Each resonance has a central periodic orbit, which may be elliptic or hyperbolic with reflection. The partial separatrices have turnstiles like the partial
Mackay, R. S., Meiss, J. D., Percival, I. C.   +2 more
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Computation of area preserving mappings

Computer Physics Communications, 1974
Abstract The study of particle motion in accelerators of alternating gradient type, and in proton storage rings, is frequently undertaken by means of numerical computation of certain area preserving mappings. In this paper we give two methods for evaluating the uncertainty introduced by the use of finite precision arithmetics.
J. Bernussou, N.F. Stewart
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Area-Preserving Maps

1992
Area-preserving maps provide the simplest and most accurate means to visualize and quantify the behavior of conservative systems with two degrees of freedom. Such maps can be iterated on even the smallest computers with great accuracy, and provide beautiful pictures of the mechanisms at play during the transition to chaos.
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Characteristics of a piecewise smooth area-preserving map

Physical Review E, 2001
We are reporting a study carried out in a system concatenated by two area-preserving maps. The system can be viewed as a model of an electronic relaxation oscillator with over-voltage protection. We found that a border-collision bifurcation may interrupt a period-doubling bifurcation cascade, and that some special features, such as "quasicoexisting ...
J, Wang, X L, Ding, B, Hu, B H, Wang, J S, Mao, D R, He   +5 more
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Correlation decay for an intermittent area-preserving map

Physics Letters A, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ARTUSO, ROBERTO, A. PRAMPOLINI
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Secondary nontwist phenomena in area-preserving maps

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012
Phenomena as reconnection scenarios, periodic-orbit collisions, and primary shearless tori have been recognized as features of nontwist maps. Recently, these phenomena and secondary shearless tori were analytically predicted for generic maps in the neighborhood of the tripling bifurcation of an elliptic fixed point.
Vieira Abud, C., Caldas, I. L.
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Universal behaviour in families of area-preserving maps

Physica D: Nonlinear Phenomena, 1981
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Greene, J. M., Mackay, R. S., Vivaldi, F., Feigenbaum, M. J.   +3 more
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Natural boundaries for area-preserving twist maps

Journal of Statistical Physics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berretti, A, CELLETTI, ALESSANDRA, Chierchia, L, Falcolini, C.   +3 more
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