Cantori for symplectic maps near the anti-integrable limit
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Publication:3990944
DOI10.1088/0951-7715/5/1/006zbMath0747.58031OpenAlexW2012793986MaRDI QIDQ3990944
James D. Meiss, Robert S. MacKay
Publication date: 28 June 1992
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/5/1/006
Related Items (34)
Cantori for multiharmonic maps ⋮ Anti-integrability in scattering billiards ⋮ ABUNDANCE OF TRAVELING WAVES IN COUPLED CIRCLE MAPS ⋮ The one to two-hole transition for cantori ⋮ Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps ⋮ Anti-integrability for the logistic maps ⋮ Anti-integrability for Three-Dimensional Quadratic Maps ⋮ Hill’s formula for $g$-periodic trajectories of Lagrangian systems ⋮ Denseness of radial-basis functions in \(L^ 2(R^ n)\) and its applications in neural networks ⋮ Thirty years of turnstiles and transport ⋮ Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps ⋮ Greene's residue criterion for the breakup of invariant tori of volume-preserving maps ⋮ Connecting Anti-integrability to Attractors for Three-Dimensional Quadratic Diffeomorphisms ⋮ Minimisers of the Allen-Cahn equation and the asymptotic plateau problem on hyperbolic groups ⋮ An approximate renormalization for the break-up of invariant tori with three frequencies ⋮ Computing periodic orbits using the anti-integrable limit ⋮ FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS ⋮ Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems ⋮ Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models ⋮ Diffusion coefficients for higher dimensional symplectic maps on the cylinder ⋮ Topological horseshoes in travelling waves of discretized nonlinear wave equations ⋮ On topological entropy of billiard tables with small inner scatterers ⋮ A dichotomy theorem for minimizers of monotone recurrence relations ⋮ Drift by coupling to an anti-integrable limit ⋮ Heteroclinic orbits and flux in a perturbed integrable Suris map ⋮ Critical invariant circles in asymmetric and multiharmonic generalized standard maps ⋮ Homoclinic bifurcations for the Hénon map ⋮ FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS ⋮ Perturbations of elliptic billiards ⋮ Computing connectedness: disconnectedness and discreteness. ⋮ Cantori of the dissipative sawtooth map ⋮ Generalized Hénon maps: The cubic diffeomorphisms of the plane ⋮ Breakup of invariant tori for the four-dimensional semi-standard map ⋮ Smale horseshoe via the anti-integrability
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