Analysis of Functional Integral Equations, Generalized Ordinary Differential Equat...
Non-smooth dynamical systems: qualitative theory and structural stability
Continuous or piecewise smooth dynamical systems on 2 and 3 dimensional manifolds.
| Full text | |
| Author(s): |
Moreira, Estefani M.
;
Valero, Jose
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S; v. 17, n. 3, p. 19-pg., 2023-11-23. |
| Abstract | |
. In this paper, we develop first a theory of existence of index pairs for multivalued semiflows. We apply this result to a reaction-diffusion equation having a discontinuous nonlinearity which gives rise to a differential inclusion governed by the Heaviside function. Second, we prove that, in a suitable regular phase space, the Conley index of the non-zero fixed points of this inclusion is a pointed sphere. (AU) | |
| FAPESP's process: | 23/01225-8 - Asymptotic and qualitative analysis of partial differential equations |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/00065-9 - Gradient structure of skew product semiflows |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 20/00104-4 - Comparison results between solutions of autonomous and non-autonomous problems: an investigation about existence of non-autonomos equilibria |
| Grantee: | Estefani Moraes Moreira |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |