On discrete homoclinic attractors of three-dimensional diffeomorphisms
DOI10.1134/S1995080222020068zbMath1496.37023OpenAlexW4226245223MaRDI QIDQ2121921
A. S. Gonchenko, Sergey V. Gonchenko
Publication date: 5 April 2022
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080222020068
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Invariant manifold theory for dynamical systems (37D10) Dynamical aspects of attractors and their bifurcations (37G35) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An equation for hyperchaos
- Pseudohyperbolicity and the problem on periodic perturbations of Lorenz-type attractors
- Nonlinear dynamics and turbulence
- Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
- A two-dimensional mapping with a strange attractor
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Possible new strange attractors with spiral structure
- Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
- Quasiattractors and homoclinic tangencies
- Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
- Maps close to identity and universal maps in the Newhouse domain
- Richness of chaotic dynamics in nonholonomic models of a Celtic stone
- On the nature of turbulence
- Scenarios of hyperchaos occurrence in 4D Rössler system
- An example of a wild strange attractor
- Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors
- Deterministic Nonperiodic Flow
- Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system
- SMOOTH SYMMETRIC AND LORENZ MODELS FOR UNIMODAL MAPS
- Shilnikov attractors in three-dimensional orientation-reversing maps
- Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
- On scenarios of the onset of homoclinic attractors in three-dimensional non-orientable maps
- Examples of Lorenz-like Attractors in Hénon-like Maps
- THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- On discrete Lorenz-like attractors
This page was built for publication: On discrete homoclinic attractors of three-dimensional diffeomorphisms