Templex: a bridge between homologies and templates for chaotic attractors
From MaRDI portal
Publication:6567580
DOI10.1063/5.0092933MaRDI QIDQ6567580
Gisela D. Charó, Christophe Letellier, Denisse Sciamarella
Publication date: 5 July 2024
Published in: Chaos (Search for Journal in Brave)
Smooth dynamical systems: general theory (37Cxx) Dynamical systems with hyperbolic behavior (37Dxx) Algebraic topology (55-XX)
Related Items (2)
Random templex encodes topological tipping points in noise-driven chaotic dynamics ⋮ New elements for a theory of chaos topology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Knots and links in three-dimensional flows
- Inequivalent topologies of chaos in simple equations
- Topological analysis and synthesis of chaotic time series
- Über abstrakte Topologie. I, II.
- A new proof of the Lefschetz formula on invariant points.
- Eine Verallgemeinerung der Euler-Poincaréschen Formel.
- On types of knotted curves.
- Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen.
- Knoten und Gruppen.
- A proof of the invariance of certain constants of analysis situs.
- Second complément à l'analysis situs.
- On the three-body problem and the equations of dynamics
- Sopra gli spazi di un numero qualunque di dimensioni.
- Knotted periodic orbits in dynamical systems. I: Lorenz's equations
- Branched manifolds for the three types of unimodal maps
- Topology of dynamical reconstructions from Lagrangian data
- Topology from time series
- An equation for continuous chaos
- On the nature of turbulence
- Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry
- Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
- Topological analysis of chaotic dynamical systems
- Topological colouring of fluid particles unravels finite-time coherent sets
- Topological dimension and local coordinates from time series data
- CONSTRUCTING HOMOCLINIC ORBITS AND CHAOTIC ATTRACTORS
- Evolution of a multimodal map induced by an equivariant vector field
- Deterministic Nonperiodic Flow
- Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor
- Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems
- Systematic template extraction from chaotic attractors: II. Genus-one attractors with multiple unimodal folding mechanisms
- Analysis situs.
- Expanding attractors
- On knots.
- Noise-driven topological changes in chaotic dynamics
This page was built for publication: Templex: a bridge between homologies and templates for chaotic attractors