Chaotic knots and wild dynamics
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Publication:1809544
DOI10.1016/S0960-0779(97)00094-5zbMath0944.57006MaRDI QIDQ1809544
Publication date: 25 November 1999
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Periodic orbits of vector fields and flows (37C27) Topological entropy (37B40) Dynamical systems with hyperbolic behavior (37D99)
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Cites Work
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- Knots and links in three-dimensional flows
- Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Links of homeomorphisms of a disk and topological entropy
- Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
- Closed orbits of non-singular Morse-Smale flows on \(S^ 3\)
- Structural stability of Lorenz attractors
- Contact 3-manifolds twenty years since J. Martinet's work
- Counterexamples to the Seifert conjecture and opening closed leaves of foliations
- Non-singular Morse-Smale flows on 3-dimensional manifolds
- Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction
- Knots, braid index and dynamical type
- Knotted periodic orbits in dynamical systems. I: Lorenz's equations
- A smooth counterexample to the Seifert conjecture
- Branched two-manifolds supporting all links
- Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
- Links of Closed Orbits of Nonsingular Morse-Smale Flows
- Entropy and Knots
- REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES
- Chaos in the Lorenz equations: a computer-assisted proof
- AN ODE WHOSE SOLUTIONS CONTAIN ALL KNOTS AND LINKS
- Braids in classical dynamics
- Deterministic Nonperiodic Flow
- A Classification of Braid Types for Diffeomorphisms of Surfaces of Genus Zero with Topological Entropy Zero
- Differentiable dynamical systems
- Knots
