Year: 2025
Type: article
Abstract: We describe a $$C^{1}$$ -open set of systems of differential equations in $$R^{n}$$ , for any $$n\geqslant 4$$ , where every system has a chain-transitive chaotic attractor which contains a saddle-focus equilibrium with a two-dimensional unstable manifold. The attractor also includes a wild hyperbolic set and a heterodimensional cycle involving hyperbolic sets with different numbers of positive Lyapunov exponents.
Source: Regular and Chaotic Dynamics
Author: Dmitry Turaev
Institution: Imperial College London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Leverhulme Trust
Award: G2634089122
OpenAlex ID: W4409218980