Hyperbolicity and the creation of homoclinic orbits
From MaRDI portal
Publication:1100786
DOI10.2307/1971313zbMath0641.58029OpenAlexW2318637338WikidataQ102000630 ScholiaQ102000630MaRDI QIDQ1100786
Publication date: 1987
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971313
homoclinic explosionhyperbolic nonwandering sethomoclinic point of tangencypersistently hyperbolic diffeomorphism
Related Items (46)
Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension ⋮ Non-periodic bifurcations for surface diffeomorphisms ⋮ Chaos after bifurcation of a morse-smale diffeomorphism through a one-cycle saddle-node and interations of multivalued mappings of an interval and a circle ⋮ Chaotic thermal convection of couple-stress fluid layer ⋮ Persistent homoclinic tangencies and the unfolding of cycles ⋮ Skew product cycles with rich dynamics: From totally non-hyperbolic dynamics to fully prevalent hyperbolicity ⋮ How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency ⋮ Improved cost functions for modelling of noisy chaotic time series ⋮ Robust nonhyperbolic dynamics and heterodimensional cycles ⋮ Conservative homoclinic bifurcations and some applications ⋮ Géométrie des variétés invariantes d'un difféomorphisme axiome A et transversalité forte ⋮ Persistence of homoclinic tangencies in higher dimensions ⋮ Homoclinic tangencies near cascades of period doubling bifurcations ⋮ One point intersections of middle-α Cantor sets ⋮ Prevalent dynamics at the first bifurcation of Hénon-like families ⋮ Stable intersections of conformal Cantor sets ⋮ On the approximation of Hénon-like attractors by homoclinic tangencies ⋮ Intersecting self-similar Cantor sets ⋮ Topological structure of (partially) hyperbolic sets with positive volume ⋮ Hyperbolicity of a special one-parameter family with a first homoclinic tangency ⋮ On Floris Takens and our joint mathematical work ⋮ Abundance of hyperbolicity in the $C^1$ topology ⋮ Intersecting random translates of invariant Cantor sets ⋮ On stochastic sea of the standard map ⋮ Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles ⋮ Homoclinic points and moduli ⋮ Period-doubling cascades galore ⋮ Coexistence of infinitely many attractors in a simple flow ⋮ EXACT HAUSDORFF MEASURE OF CERTAIN NON-SELF-SIMILAR CANTOR SETS ⋮ Periodic occurrence of chaotic behavior of homoclinic tangles ⋮ A global perspective for non-conservative dynamics ⋮ Purely imaginary eigenvalues from homoclinic tangencies ⋮ Random intersections of thick Cantor sets ⋮ Homoclinic tangency and variation of entropy ⋮ A classification of explosions in dimension one ⋮ On the finiteness of attractors for one-dimensional maps with discontinuities ⋮ On the appearance order of homoclinic and heteroclinic intersections in a family of dissipative maps of the plane ⋮ Saddle-focus singular cycles and prevalence of hyperbolicity ⋮ Unnamed Item ⋮ Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability ⋮ Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles ⋮ Explosions of chaotic sets ⋮ Outer Tangency Bifurcations of Chaotic Sets ⋮ Abundance of strange attractors ⋮ Homoclinic tangencies: moduli and topology of separatrices ⋮ Nontransverse heterodimensional cycles: Stabilisation and robust tangencies
This page was built for publication: Hyperbolicity and the creation of homoclinic orbits
