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RESEARCH PRODUCT
Links and Bifurcations in Nonsingular Morse–Smale Systems
J. Martínez AlfaroB. CamposP. Vindelsubject
Six operationsPure mathematicsApplied MathematicsCodimensionCharacterization (mathematics)Morse codelaw.inventionSet (abstract data type)Invertible matrixlawModeling and SimulationHomogeneous spaceEngineering (miscellaneous)BifurcationMathematicsdescription
Wada's theorem classifies the set of periodic orbits in NMS systems on S3 as links, that can be written in terms of six operations. This characterization allows us to study the topological restrictions that links require to suffer a given codimension one bifurcation. Moreover, these results are reproduced in the case of NMS systems with rotational symmetries, introducing new geometrical tools.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-08-01 | International Journal of Bifurcation and Chaos |