Persistence of heterodimensional cycles (Q6536652)

scientific article; zbMATH DE number 7846296

Language	Label	Description	Also known as
English	Persistence of heterodimensional cycles	scientific article; zbMATH DE number 7846296

Statements

instance of

scholarly article

0 references

title

Persistence of heterodimensional cycles (English)

0 references

0 references

0 references

Inventiones Mathematicae

0 references

publication date

13 May 2024

0 references

zbMATH Keywords

hyperbolic periodic orbits

0 references

unstable manifolds

0 references

heterodimensional cycles

0 references

Bonatti-Díaz blenders

0 references

0 references

0 references

0 references

0 references

Hyperbolic sets exhibiting $C^1$-persistent homoclinic tangency for higher dimensions

0 references

Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics

0 references

Fast growth of the number of periodic points arising from heterodimensional connections

0 references

Symbolic blender-horseshoes and applications

0 references

Generic family with robustly infinitely many sinks

0 references

Iterated Functions Systems, Blenders, and Parablenders

0 references

Germ-typicality of the coexistence of infinitely many sinks

0 references

Robust criterion for the existence of nonhyperbolic ergodic measures

0 references

SURVEY Towards a global view of dynamical systems, for the <i>C</i><sup>1</sup>-topology

0 references

Persistent nonhyperbolic transitive diffeomorphisms

0 references

ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS

0 references

Fragile cycles

0 references

Abundance of $C^{1}$-robust homoclinic tangencies

0 references

Stabilization of heterodimensional cycles

0 references

WHAT IS... a Blender?

0 references

From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems

0 references

Robust nonhyperbolic dynamics and heterodimensional cycles

0 references

Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations

0 references

Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes

0 references

Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles

0 references

Nontransverse heterodimensional cycles: Stabilisation and robust tangencies

0 references

Nonconnected heterodimensional cycles: bifurcation and stability

0 references

ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. II

0 references

Stable periodic motions in systems close to a structurally unstable homoclinic curve

0 references

Q3027448

0 references

Invariants of $\Omega$-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory

0 references

Q4315972

0 references

Q3841711

0 references

Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps

0 references

On dynamical properties of multidimensional diffeomorphisms from Newhouse regions: I

0 references

Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

0 references

Q2783050

0 references

Structural stability of Lorenz attractors

0 references

Q4840149

0 references

Homoclinic bifurcations that give rise to heterodimensional cycles near a saddle-focus equilibrium

0 references

Existence of heterodimensional cycles near shilnikov loops in systems with a $\mathbb{Z}_2$ symmetry

0 references

Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors

0 references

Contributions to the stability conjecture

0 references

Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers

0 references

There are no $C^{1}$-stable intersections of regular Cantor sets

0 references

Robust Transitivity in Hamiltonian Dynamics

0 references

Q5606531

0 references

Diffeomorphisms with infinitely many sinks

0 references

The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

0 references

Q4084984

0 references

Bifurcations and stability of families of diffeomorphisms

0 references

Q4941620

0 references

High dimension diffeomorphisms displaying infinitely many periodic attractors

0 references

Persistence of homoclinic tangencies in higher dimensions

0 references

An equation for hyperchaos

0 references

A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE

0 references

Q4947577

0 references

Shorter Notes: A 3-Dimensional Abraham-Smale Example

0 references

Instability in Diff r (T 3 ) and the Nongenericity of Rational Zeta Functions

0 references

ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS

0 references

An example of a wild strange attractor

0 references

Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors

0 references

Abundance of hyperbolicity in the $C^1$ topology

0 references

Identifiers

zbMATH Open document ID

1544.37015

0 references

DOI

10.1007/s00222-024-01255-3

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6536652