Chaos after bifurcation of a morse-smale diffeomorphism through a one-cycle saddle-node and interations of multivalued mappings of an interval and a circle (original) (raw)
1987, Boletim da Sociedade Brasileira de Matemática
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This paper explores the complex dynamics arising from the bifurcation of Morse-Smale diffeomorphisms, particularly focusing on the scenarios involving a one-cycle saddle-node. Building on prior research, a key conjecture regarding homoclinic tangency is examined and answered positively for several cases while discussing other relevant conjectures pertaining to dynamical stability and saddle-node phenomena. Sections of the study prioritize the reduction to multi-valued maps, advancing the understanding of these transformations and their implications in dynamical systems.
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