Computation and Applied Mathematics |
Termos e frases comuns
analytic Anosov attractor basic piece basic sets bifurcation boundary closing lemma coefficients cofactor compact computation conjugacy connected components consider contains Corollary curves Darboux polynomial Darbouxian partially umbilic defined Definition denote differential equations dimension domain dynamical systems equivalent exists Figure finite number flowbox function graph Gutierrez heteroclinic homeomorphism homoclinic homogeneous polynomial hyperbolic sets implies intersection linear Lyapunov constants Markov partitions Math Mathematical subject classification Mathematics Mauricio Morse-Smale diffeomorphism Morse-Smale flows neighborhood non-wandering sets obtain partially umbilic line periodic orbits periodic points perturbations polynomial first integral principal curvature problem proof of Theorem properties Proposition prove pseudo-Anosov map quadratic growth resp result return mapping satisfies separatrix separatrix connections singular saddle node Smale diffeomorphisms solution Sotomayor stable and unstable structurally stable subset tangent theory trajectories transversality two-dimensional manifolds umbilic points unstable manifolds vector field vertex X-orbit zero