Add to ORKGAbstract. We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m, n) have two prime factors, each a torus knot; and that composite closed orbits on L(−1,−1) have either two for three prime factors, two of which are torus knots. 1
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
Based on symbolic dynamics of Lorenz maps, we prove that, provided one conjecture due to Morton is t...
We describe the Lorenz links generated by renormalizable Lorenz maps with reducible kneading invaria...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
A Lorenz knot is the isotopy class of any periodic orbit in the flow on R 3 given by the Lorenz diff...
AbstractWe study an Anosov flow ∅t in S3 – \s{figure-8 knot\s}. Birman and Williams conjectured that...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We study an Anosov flow Фt in S3 – {figure-8 knots}. Birman and Williams conjectured that the knot t...
We derive various asymptotic formulae for the numbers of closed orbits in the Lorenz and Horseshoe t...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
Lorenz knots and links have been an area of research for over thirty years. Their study combines sev...
We calculate groups and Alexander polynomials of knots on some simple templates in the three dimensi...
Lorenz knots are the knots corresponding to periodic orbits in the flow associated to the Lorenz sys...
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
Based on symbolic dynamics of Lorenz maps, we prove that, provided one conjecture due to Morton is t...
We describe the Lorenz links generated by renormalizable Lorenz maps with reducible kneading invaria...
We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m,...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
A Lorenz knot is the isotopy class of any periodic orbit in the flow on R 3 given by the Lorenz diff...
AbstractWe study an Anosov flow ∅t in S3 – \s{figure-8 knot\s}. Birman and Williams conjectured that...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We study an Anosov flow Фt in S3 – {figure-8 knots}. Birman and Williams conjectured that the knot t...
We derive various asymptotic formulae for the numbers of closed orbits in the Lorenz and Horseshoe t...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
Lorenz knots and links have been an area of research for over thirty years. Their study combines sev...
We calculate groups and Alexander polynomials of knots on some simple templates in the three dimensi...
Lorenz knots are the knots corresponding to periodic orbits in the flow associated to the Lorenz sys...
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
Based on symbolic dynamics of Lorenz maps, we prove that, provided one conjecture due to Morton is t...
We describe the Lorenz links generated by renormalizable Lorenz maps with reducible kneading invaria...