Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor
DOI10.1142/S021812742230004XzbMath1497.37028arXiv2108.10318MaRDI QIDQ5064604
Christophe Letellier, Nataliya V. Stankevich, Otto E. Rössler
Publication date: 16 March 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.10318
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An equation for hyperchaos
- Explosions in Lorenz maps
- Topological analysis and synthesis of chaotic time series
- Bifurcations of tori and phase locking in a dissipative system of differential equations
- The Lyapunov dimension of strange attractors
- Strange attractors that are not chaotic
- Chaos. The world of nonperiodic oscillations
- Branched manifolds for the three types of unimodal maps
- Topology of dynamical reconstructions from Lagrangian data
- An equation for continuous chaos
- On the nature of turbulence
- Doubling of Torus
- Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry
- Topological analysis of chaotic dynamical systems
- Topological colouring of fluid particles unravels finite-time coherent sets
- On the number of Klein bottle types
- The Topology of Chaos
- Topological characterization of toroidal chaos: A branched manifold for the Deng toroidal attractor
- Homoclinic chaos in the Rössler model
- Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems
- DIFFERENTIAL EQUATIONS WITH MULTISPIRAL ATTRACTORS
- ANALYSIS OF A NONSYNCHRONIZED SINUSOIDALLY DRIVEN DYNAMICAL SYSTEM
- Poincaré sections for a new three-dimensional toroidal attractor
This page was built for publication: Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor