C. Polymilis, G. Servizi, Ch. Skokos, G. Turchetti, M.N. Vrahatis  Home/Search
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Abstract: We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of xed points of the map provided that the integration step is \small enough". Since in any neighborhood of a xed point the map gets four di erent combinations of its algebraic signs we use points on a lattice to detect the candidate xed points by selecting boxes whose corners show all combinations of signs. This... (Update)
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BibTeX entry: (Update)
@misc{ polymilis-topological,
author = "C. Polymilis and G. Servizi and Ch. Skokos and G. Turchetti and M.N. Vrahatis",
title = "Topological Degree Theory and Local Analysis of Area Preserving Maps",
url = "citeseer.ist.psu.edu/692785.html" }
Citations (may not include all citations):650 Numerical Methods for Unconstrained Optimization and Nonline.. (context) - Dennis, Schnabel - 1996
482 Iterative Solution of Nonlinear Equations in Several Variabl.. (context) - Ortega, Rheinbolt - 1970
26 Cambridge University Press (context) - Lloyd, Theory - 1978
19 A method for determining a stochastic transition (context) - Greene - 1979
15 Solving systems of nonlinear equations using the nonzero val.. (context) - Vrahatis - 1988
11 A short proof and a generalization of Miranda's existence th.. (context) - Vrahatis - 1989
10 CHABIS: A mathematical software package for locating and eva.. (context) - Vrahatis - 1988
8 Normal form approach to the theory of nonlinear betatronic m.. (context) - Bazzani, Servizi et al. - 1994
5 Locating and computing all the simple roots and extrema of a.. (context) - Kavvadias, Vrahatis - 1996
4 Periodic orbits and invariant surfaces of 4D nonlinear mappi.. (context) - Vrahatis, Bountis et al. - 1996
4 the calculation of the exact number of zeros of a set of equ.. (context) - Hoenders, Slump - 1983
4 Gauthier-Villars (context) - Picard, d'analyse et al. - 1922
4 Computing the topological degree of a mapping in R (context) - Stenger - 1978
4 the complexity of isolating real roots and computing with ce.. - Mourrain, Vrahatis et al. - 2002
4 Locating and computing arbitrarily distributed zeros (context) - Kavvadias, Makri et al. - 1999
4 Structure and breakdown of invariant tori in a 4{D mapping m.. (context) - Vrahatis, Isliker et al. - 1997
3 Linear stability of symplectic maps (context) - Howard, Mackay - 1987
2 Numerical Study of Discrete Area Preserving Mappings Astron .. (context) - Rannou - 1974
2 Sur le nombre des racines communes a plusieurs equations s.. (context) - Picard
2 Method for computing long periodic orbits of dynamical syste.. (context) - Drossos, Ragos et al. - 1996
2 Bifurcations of beam-beam like maps (context) - Polymilis, Skokos et al. - 2000
1 Dahlqvist Computing the di usion coecient for intermittent m.. (context) - Dettmann - 1998
1 Computing with certainty individual members of families of p.. (context) - Kalantonis, Perdios et al. - 2001
1 A quantitative bifurcation analysis of 2D like Henon maps (context) - Polymilis, Servizi et al. - 1997
1 Mathematical Surveys No (context) - Fixed, topological et al. - 1964
1 Farantos Application of the characteristic bisection method .. (context) - Vrahatis, Perdiou et al. - 2001
1 An ecient method for locating and computing periodic orbits .. (context) - Vrahatis - 1995
1 Morriss Stability ordering of cycle expansions (context) - Dettmann - 1997
1 Ecient method for computing with certainty periodic orbits o.. (context) - Perdios, Kalantonis et al. - 2002
1 GIOTTO: An interactive computer program for the analysis of .. (context) - Servizi, Bortolotti et al. - 1995
1 Hermann Paris (context) - Sur, propriet et al. - 1910
1 Quarterly of Applied Mathematics XXVII (context) - enon, of et al. - 1969
1 the stability of periodic orbits of high dimensional autonom.. (context) - Skokos - 2001
1 Bisection is optimal Numerische Mathematik (context) - Sikorski - 1982
1 Distribution of periodic orbits and the homoclinic tangle (context) - Contopoulos, Grousouzakou et al. - 1996
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