Critical saddle-node cycles: Hausdorff dimension and persistence of tangencies

Ergodic Theory and Dynamical Systems

Volumn 22, Issue 4, 2002, Pages 1117-1140

  Díaz, Lorenzo J ^a   Ures, Raul ^b  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b UNIVERSIDAD DE LA REPÚBLICA   (Uruguay)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036686268     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385702000500     Document Type: Article

References (21)

1. An isolated saddle-node bifurcation occurring inside a horseshoe
2. Saddle-node horseshoes giving rise to global Hénon-like attractors
3. The intermittency route to chaotic dynamics
4. Strange attractors in saddle-node cycles: Prevalence and globality
5. Discontinuity of Hausdorff dimension
6. Invariant Manifolds
7. Stable intersections of Cantor sets and homoclinic bifurcations
8. Diffeomorphisms with infinitely many sinks
9. The abundance of wild hyperbolic sets and nonsmooth stable set for diffeomorphisms
10. Bifurcations and stability of families of diffeomorphisms
11. Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms
12. Hyperbolicity and the creation of homoclinic orbits
13. Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension
14. Intermittent transitions to turbulence in dissipative dynamical systems
15. On the arithmetic sum of regular Cantor sets
16. Unfolding homoclinic tangencies inside horseshoes: Hyperbolicity, fractal dimensions and persistence of tangencies
17. Intermittency: Global Aspects
18. The DA maps of Smale and structural stability
19. Cascades of period doubling bifurcations: A prerequisite for horseshoes