Add to ORKGWe show how a template for a dynamical system can be uniquely specified by a framed braid. This leads to a homological classification of strange attractors in terms of an associated linking matrix
Despite the several available strategies to build complex supramolecular constructs, only a handful ...
Braids in a traditional sense and braids in a mathematical sense are wildly different outlooks on th...
AbstractA Smale flow is a structurally stable flow with one-dimensional invariant sets. We use infor...
We show how a template for a dynamical system can be uniquely specified by a framed braid. This lead...
International audienceDescribing the topological properties by a template is a powerful technique to...
International audienceChaotic attractors are solutions of deterministic processes, of which the topo...
The theory of homologies introduces cell complexes to provide an algebraic description of spaces up ...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We define invariants for templates that appear in certain dynamical systems. Invariants are derived ...
In this Ph.D. thesis we characterize the topology of chaotic attractors solution to set of different...
International audienceTopological analysis of chaotic attractor by the mean of template is rather we...
Choose any oriented link type X and closed braid representatives XC;X of X, where X has minimal br...
The main result, Theorem 1, is Markov's TheoremWithout Stabilization (MTWS) for links in 3-spa...
International audienceAsymmetric and symmetric chaotic attractors produced by the simplest jerk equi...
AbstractWe resolve several conjectures of J. Birman and R. F. Williams concerning the knotting and l...
Despite the several available strategies to build complex supramolecular constructs, only a handful ...
Braids in a traditional sense and braids in a mathematical sense are wildly different outlooks on th...
AbstractA Smale flow is a structurally stable flow with one-dimensional invariant sets. We use infor...
We show how a template for a dynamical system can be uniquely specified by a framed braid. This lead...
International audienceDescribing the topological properties by a template is a powerful technique to...
International audienceChaotic attractors are solutions of deterministic processes, of which the topo...
The theory of homologies introduces cell complexes to provide an algebraic description of spaces up ...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We define invariants for templates that appear in certain dynamical systems. Invariants are derived ...
In this Ph.D. thesis we characterize the topology of chaotic attractors solution to set of different...
International audienceTopological analysis of chaotic attractor by the mean of template is rather we...
Choose any oriented link type X and closed braid representatives XC;X of X, where X has minimal br...
The main result, Theorem 1, is Markov's TheoremWithout Stabilization (MTWS) for links in 3-spa...
International audienceAsymmetric and symmetric chaotic attractors produced by the simplest jerk equi...
AbstractWe resolve several conjectures of J. Birman and R. F. Williams concerning the knotting and l...
Despite the several available strategies to build complex supramolecular constructs, only a handful ...
Braids in a traditional sense and braids in a mathematical sense are wildly different outlooks on th...
AbstractA Smale flow is a structurally stable flow with one-dimensional invariant sets. We use infor...