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Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Faculdade de Engenharia (FEIS) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Pedro Toniol Cardin in research grants and scholarships supported by FAPESP.
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In this project we deal with singularly perturbed systems of ordinary differential equations expressed by (n-1)--parameter families of vector fields. The inherent characteristic of such systems is the presence of a number n of time scales. Recently, we extend Fenichel theory for such systems. Now, we intend to continue investigating other important aspects that are part of Geometric Singu…
In this project the main goal is to study systems of singularly perturbed ordinary differential equations involving multiple different time scales. The study will encompass both the case where the vector field associated to such systems is smooth, as well as the case where the field vector is non-smooth (Filippov kind). The main feature of such systems is the possibility of working at dif…
In this project we study systems of first order ordinary differential equations focusing on qualitative theory. The study will address local, global, and asymptotic aspects of the solutions of the system with applications in some classical models.
In this project, we will make an introductory study of the so-called smooth piecewise dynamical systems (or Filippov systems), which are systems of ordinary differential equations whose vector field does not have smoothness properties. We will study several mathematical concepts and ideas involving such systems, for example, the definition of local trajectory, the sliding vector field (or…
In this project we study systems of first order ordinary differential equations focusing on qualitative theory. The study will address local, global, and asymptotic aspects of the solutions of the system with applications in some classical ODEs.
The goal of this project is to study nonlinear systems of ordinary differential equations and the important topic about limit cycles. Our focus is on the qualitative theory of nonlinear differential equations. We begin by treating local aspects of the theory with the study of the behavior of the solutions of system near an equilibrium points. After that we pass to global theory with empha…
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| 3 / 2 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 9 / 9 | Completed scholarships in Brazil |
| 13 / 12 | All research grants and scholarships |
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