6533b86cfe1ef96bd12c7f6b

RESEARCH PRODUCT

Bifurcations of links of periodic orbits in non-singular Morse - Smale systems on

J. Martínez AlfaroP. VindelB. Campos

subject

Applied MathematicsMathematical analysisFrame (networking)General Physics and AstronomyStatistical and Nonlinear PhysicsCharacterization (mathematics)Type (model theory)Morse codelaw.inventionFlow (mathematics)lawPeriodic orbitsLink (knot theory)Mathematical PhysicsBifurcationMathematics

description

The set of periodic orbits of a non-singular Morse - Smale (NMS) flow on defines a link; a characterization of all possible links of NMS flows on has been developed by Wada. In the frame of codimension-one bifurcations, this characterization allows us to study the restrictions a link requires for suffering a given bifurcation. We also derive the topological description of the new link and the possibility of relating links by a chain of this type of bifurcation.

yearjournalcountryeditionlanguage
1997-09-01Nonlinearity
https://doi.org/10.1088/0951-7715/10/5/018