Tori and Klein bottles in four-dimensional chaotic flows

DOI10.1016/S0167-2789(96)00189-3zbMath0890.58075OpenAlexW2053547933MaRDI QIDQ678326

Gabriel B. Mindlin, Hernán Gustavo Solari

Publication date: 16 April 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00189-3

zbMATH Keywords

toriKlein bottlesfour-dimensional chaotic flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Chaos via torus breakdown from a four-dimensional autonomous oscillator with two diodes ⋮ Control and synchronization of hyperchaotic states in mathematical models of Bènard-Marangoni convective experiments ⋮ Topological colouring of fluid particles unravels finite-time coherent sets ⋮ Topological characterization of toroidal chaos: A branched manifold for the Deng toroidal attractor ⋮ Convergence properties of the 8, 10 and 12 mode representations of quasipatterns

Cites Work

• Unnamed Item
• Unnamed Item
• An equation for hyperchaos
• Topological analysis and synthesis of chaotic time series
• Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction
• Topology from time series
• Topological Character of a Periodic Solution in Three-Dimensional Ordinary Differential Equation System
• Estimating Regions of Existence of Unstable Periodic Orbits Using Computer-Based Techniques
• TOPOLOGICAL ANALYSIS OF CHAOTIC SIGNALS FROM A CO₂ LASER WITH MODULATED LOSSES
• Classification of strange attractors by integers

This page was built for publication: Tori and Klein bottles in four-dimensional chaotic flows