Computing parametrised large intersection sets of 1D invariant manifolds: a tool for blender detection

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Numerical analysis (65-XX) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

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There are no $C^{1}$-stable intersections of regular Cantor sets
Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
A two-dimensional mapping with a strange attractor
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
An efficient method for computing invariant manifolds of planar maps
Growing 1D and quasi-2D unstable manifolds of maps
Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
Persistent nonhyperbolic transitive diffeomorphisms
Determining the global manifold structure of a continuous-time heterodimensional cycle
Homoclinic tangencies leading to robust heterodimensional cycles
How to identify a hyperbolic set as a blender
$C^1$ density of stable ergodicity
Stable minimality of expanding foliations
Abundance of $C^{1}$-robust homoclinic tangencies
Interacting global invariant sets in a planar map model of wild chaos
Symbolic blender-horseshoes and applications
WHAT IS... a Blender?
Blender-horseshoes in Center-unstable Hénon-like Families
ROBUST HETERODIMENSIONAL CYCLES AND $C^1$-GENERIC DYNAMICS
Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields
Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations
Robust tangencies of large codimension
Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles
Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
Robust nonhyperbolic dynamics and heterodimensional cycles
Isochron foliations and global bifurcations: a case study
Numerical continuation of connecting orbits of maps in MATLAB
Blenders in centre unstable Hénon-like families: with an application to heterodimensional bifurcations
Generic diffeomorphisms on compact surfaces
Computing One-Dimensional Global Manifolds of Poincaré Maps by Continuation
THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
Differentiable dynamical systems
Nontransverse heterodimensional cycles: Stabilisation and robust tangencies
Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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