Robust tangencies of large codimension

Abstract

We construct $C^2$-robust homoclinic and heterodimensional tangencies of large codimension inside transitive partially hyperbolic sets.

arXiv commentThis article is the first part of arXiv:1509.05325

References in corpus (5)

• Robust criterion for the existence of nonhyperbolic ergodic measures
• Symbolic blender-horseshoes and applications
• Robust minimality of iterated function systems with two generators
• On the geometry of horseshoes in higher dimensions
• $C^2$-robust heterodimensional tangencies

Cited by in corpus (5)

• Historic behavior in non-hyperbolic homoclinic classes
• Robust degenerate unfoldings of cycles and tangencies
• Persistent homoclinic tangencies and infinitely many sinks for residual sets of automorphisms of low degree in C^{3}
• Historic wandering domains near cycles
• Typical coexistence of infinitely many strange attractors