Ricardo Miranda Martins in research grants and scholarships supported by FAPESP.
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This project aims to improve the cabling infrastructure of the internal and external data networks at IMECC to support speeds of up to 10 Gbps. In parallel, we also plan to acquire two GPUs to be installed in the IMECC Virtual Laboratory equipment, providing support to faculty, researchers, and graduate students in developing programs and solutions involving machine learning and artificia…
In this project, we present a proposal for using RTI that involves updating machines in the institute's computing park, as well as purchasing books. This project will have a great impact on the research activities carried out by professors, post-doctoral students and also by master's and doctoral students, many of them even funded by Fapesp. (AU)
In this project, we present a proposal for the acquisition of equipments for the modernization of the main IMECC datacenter. Our datacenter is widely used by the IMECC community in their research. The use is made by professors, postdoctoral students and also by master's and doctoral students, many of them financed by FAPESP. With the acquisition of new equipment, we believe that users wil…
This project concerns the application of the Institutional Technical Funding of the Institute of Mathematics, Statistics and Scientific Computing - IMECC, UNICAMP. We propose to use these resources to replace one of the 3 machines of the Air Conditioning System of the Library of the Institute (IMECC, Unicamp) (AU)
In this project, we will continue to study piecewise smooth dynamical systems that are defined in compact manifolds. While the local theory of piecewise smooth dynamical systems is in a fairly advanced stage, the same cannot be said about its global properties. The main aim of this project is to study (i) the existence of periodic orbits and other invariant sets and (ii) the establishment…
(Only some records are available in English at this moment)
In this project, we study piecewise smooth dynamical systems using the Filippov convention. Our focus will be on dynamical systems defined in low dimensional compact manifolds. We are interested in the existence of minimal sets for these systems. Moreover, we want to classify such systems in termos of the chaotic behavior. In particular, we will study the global dynamics of piecewise smoo…
In this project we will investigate the foundations of ergodic theory, with the aim of applying it to number theory problems. The two main theoretical results we will examine are the Poincaré Recurrence Theorem and the Ergodic Theorem. The methods and theorems studied will be applied to results on density of primes and to Weyls Theorem.(AU)
In this project, we will study families of piecewise smooth differential equations defined on compact two-dimensional manifolds $M$. Our main objective is to exhibit conditions for a piecewise polynomial system defined in $M$ to admit periodic orbits in cases where $M$ is the sphere or the torus. We will also study the structural stability in the case of piecewise smooth differential equa…
(Only some records are available in English at this moment)
This research project investigates bifurcations in planar dynamical systems, with a focus on the bifurcation of limit cycles from polycycles. The study is structured around three problems: (1) analyzing time delay near saddle-node bifurcations; (2) exploring bifurcations of critical periodic orbits in the Loud family of quadratic centers; and (3) examining the formation of limit cycles in…
The study of the limit cycles is one of the most important objectives in the qualitative theory of the planar ordinary differential equations. We remark that to obtain an upper bound for the maximum number of limit cycles for a given differential system in the plane R2, in general, is a very difficult problem. The study of the discontinuous piecewise differential systems, more recently al…
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 | Ongoing grants |
| 6 / 6 | Completed research grants |
| 12 / 12 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 2 / 2 | Completed scholarships abroad |
| 23 / 23 | All research grants and scholarships |
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