Knots and links in three-dimensional flows
From MaRDI portal
Publication:678414
DOI10.1007/BFb0093387zbMath0869.58044OpenAlexW390606MaRDI QIDQ678414
Robert W. Ghrist, Michael C. Sullivan, Philip J. Holmes
Publication date: 17 April 1997
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0093387
Periodic solutions to ordinary differential equations (34C25) Dynamics induced by flows and semiflows (37C10) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Related Items
Periodic prime knots and topologically transitive flows on 3-manifolds, Determination of generalized horseshoe maps inducing all link types, The linking homomorphism of one-dimensional minimal sets, Unnamed Item, Chaos in the incompressible Euler equation on manifolds of high dimension, UNIVERSAL TRELLISES, Optical knots and contact geometry. I: From Arnol'd inequality to Ranada's dyons, The templates of non-singular Smale flows on three manifolds, Computation of Genus and Braid Index for Renormalizable Lorenz Links, SIMPLIFIED TREATMENT OF TEMPLATES BOUNDED BY A GENUS-1 TORUS, Toward a General Procedure for Extracting Templates from Chaotic Attractors Bounded by High Genus Torus, BRANCHED MANIFOLDS, KNOTTED SURFACES AND DYNAMICAL SYSTEMS, Simple Smale flows and their templates on \(S^3\), Families of periodic orbits: closed 1-forms and global continuability, The dynamical core of a homoclinic orbit, Algorithms for concatenating templates, Slow-fast torus knots, Zeta-functions of renormalizable sub-Lorenz templates, Construction of Anosov flows in dimension 3 by gluing blocks, Farey neighbors and hyperbolic Lorenz knots, DYNAMICAL SYSTEMS ON THREE MANIFOLDS PART I: KNOTS, LINKS AND CHAOS, Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots, Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System, A new route to chaos: Sequences of topological torus bifurcations, Examples of singular-hyperbolic attracting sets, Visualizing the template of a chaotic attractor, Realizing full \(n\)-shifts in simple Smale flows, Templates for geodesic flows, ALMOST RADIALLY-INVARIANT SYSTEMS CONTAINING ARBITRARY KNOTS AND LINKS, KNOTS, LINKS AND SPUN DYNAMICAL SYSTEMS, How tangled is a tangle?, Reducing the number of fixed points of some homeomorphisms on nonprime \(3\)-manifolds, Geodesic Knots in the Figure-Eight Knot Complement, FACTORING FAMILIES OF POSITIVE KNOTS ON LORENZ-LIKE TEMPLATES, Positive knots from discrete dynamical systems via symbolic dynamics, More on knots in Robinson's attractor, Effective computation of the multivariable Alexander polynomial of Lorenz links, Non-singular Smale flows on three-dimensional manifolds and Whitehead torsion, Closed periodic orbits of convective solutions in rapidly rotating system: Double torus knots and links, DTK, Simple Smale flows with a four band template, Visualizing global manifolds during the transition to chaos in the Lorenz system, Chaotic knots and wild dynamics, On the zeroes of the Alexander polynomial of a Lorenz knot, ON THE STRUCTURE OF PERIODIC ORBITS ON A SIMPLE BRANCHED MANIFOLD, Asymptotic invariants of 3-dimensional vector fields, Quantum Invariants of Templates, A generalization of Lotka-Volterra, GLV, systems with some dynamical and topological properties, Construction of 3-dimensional Smale flows, The universal templates of Ghrist, Streamline topologies for integrable vortex motion on a sphere, Chebotarev links are stably generic, Olympic links in a Chebotarev link, Computing connectedness: disconnectedness and discreteness., Knots on a positive template have a bounded number of prime factors, From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings, From template analysis to generating partitions. II: Characterization of the symbolic encodings, Signature asymptotique d'un champ de vecteurs en dimension 3. (Asymptotic signature of a vector field in dimension 3), Real Arnold complexity versus real topological entropy for birational transformations, Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems, Genus for knots and links in renormalizable templates with several branch nodes, Chaos and Wild Chaos in Lorenz-Type Systems, Knots motivated by discrete dynamical systems, Contact topology and hydrodynamics III: knotted orbits, Geodesic flow, left-handedness and templates, Building Anosov flows on 3-manifolds
