Matheus Manzatto de Castro in research grants and scholarships supported by FAPESP.
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In this project we will study the main theorem on structural stability for piecewise smooth dynamical systems on low dimensions. In particular, we will consider the global dynamics of families of piecewise smooth dynamical systems on torus $\mathbb R^2$, where the quantity of fold points have serious implications about the structural stability of the system. Moreover, on spheres $S^k$, $k…
In this project we propose a study about the center-focus problem for polynomial systems. After completing the classification of planar centers, the existence of limit cycles will be considered, together with their relations with the zeroes of Abelian integrals. We also study the proof of the weak version of the Hilbert's 16th problem (for systems of Bogdanov-Takens type). (AU)
In this project the student will spend 6 months at Imperial College, London/England, working with Prof. Jeroen Lamb. The main objective is to discuss results related to two papers in order increase his knowledge in the area of discontinuous systems and reversible systems. In addition, the student will be able to take advantage of the scientific environment of Imperial College London to ga…
| 2 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 3 / 3 | All Scholarships |
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