A zeta function for flows with positive templates

DOI10.1016/0166-8641(95)00042-FzbMath0843.58107MaRDI QIDQ1902999

Michael C. Sullivan

Publication date: 21 August 1996

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

templatesperiodic orbitszeta functionsmooth flows

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems over complex numbers (37F99) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Zeta-functions of renormalizable sub-Lorenz templates ⋮ More on knots in Robinson's attractor ⋮ Quantum Invariants of Templates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences
• Knotted periodic orbits in suspensions of Smale's horseshoe: period multiplying and cabled knots
• A topological invariant of flows on 1-dimensional spaces
• Composite knots in the figure-8 knot complement can have any number of prime factors
• Knotted periodic orbits in suspensions of Smale's horseshoe: Extended families and bifurcation sequences
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Entropy and Knots
• Lorenz knots are prime
• Knotted periodic orbits in suspensions of annulus maps
• New Directions in Dynamical Systems
• THE PRIME DECOMPOSITION OF KNOTTED PERIODIC ORBITS IN DYNAMICAL SYSTEMS
• An Invariant of Regular Isotopy
• Differentiable dynamical systems
• Knots