| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Sao Paulo State Univ Unesp, Inst Biosci Human & Exact Sci, Rua C Colombo 2265, BR-15054000 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Qualitative Theory of Dynamical Systems; v. 20, n. 2 JUL 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Polynomial vector fields X : R-3 -> R-3 that have invariant algebraic surfaces of the form M = [f (x,y)z - g(x,y) = 0] are considered. We prove that trajectories of X on M are solutions of a constrained differential system having I = [f (x, y) = 0) as impasse curve. The main goal of the paper is to study the flow on M near points that are projected on typical impasse singularities. The Falkner-Skan equation (Llibre and Valls in Comput Fluids 86:71-76,2013), the Lorenz system (Llibre and Zhang in J Math Phys 43:1622-1645,2002) and the Chen system (Lu and Zhang in Int J Bifurc Chaos 17-8:2739-2748,2007) are some of the well-known polynomial systems that fit our hypotheses. (AU) | |
| FAPESP's process: | 16/22310-0 - Discontinuous foliations and impasses |
| Grantee: | Otavio Henrique Perez |
| Support Opportunities: | Scholarships in Brazil - Doctorate |