THREE-DIMENSIONAL STRATIFICATIONS, KNOTS AND BIFURCATIONS OF TWO-DIMENSIONAL DYNAMICAL SYSTEMS

DOI10.1142/S0218127402004152zbMath1044.37034OpenAlexW2054147240MaRDI QIDQ4736330

No author found.

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402004152

zbMATH Keywords

periodic orbitsinvariantsequilibrium pointschaotic systemsclassification of the dynamicsreduced systems on spheres

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items

KNOTTED PERIODIC ORBITS AND CHAOTIC BEHAVIOR OF A CLASS OF THREE-DIMENSIONAL FLOWS ⋮ DYNAMICAL SYSTEMS ON THREE MANIFOLDS PART II: THREE-MANIFOLDS, HEEGAARD SPLITTINGS AND THREE-DIMENSIONAL SYSTEMS ⋮ Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System ⋮ INVERSELY UNSTABLE SOLUTIONS OF TWO-DIMENSIONAL SYSTEMS ON GENUS-p SURFACES AND THE TOPOLOGY OF KNOTTED ATTRACTORS ⋮ Classification of dynamical systems based on a decomposition of their vector fields ⋮ ELLIPTIC AND AUTOMORPHIC DYNAMICAL SYSTEMS ON SURFACES

Cites Work

• Darboux linearization and isochronous centers with a rational first integral
• Knots, links, and symbolic dynamics
• Knotted periodic orbits in dynamical systems. I: Lorenz's equations
• ANALYSIS AND STRUCTURE OF A NEW CHAOTIC SYSTEM
• Differential Topology

This page was built for publication: THREE-DIMENSIONAL STRATIFICATIONS, KNOTS AND BIFURCATIONS OF TWO-DIMENSIONAL DYNAMICAL SYSTEMS