Non-Smooth Systems and Singular Perturbations

• Grant number: 23/02959-5
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2024
• End date: January 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Agreement: ANR
• Principal Investigator: Paulo Ricardo da Silva
• Grantee: Paulo Ricardo da Silva
• Principal researcher abroad: Daniel Cantergiani Panazzolo
• Institution abroad: Université de Haute-Alsace , France
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• City of the host institution: São José do Rio Preto
• Associated researchers: Claudio Aguinaldo Buzzi
• Associated scholarship(s): 25/01340-7 - Shilnikov Connections in Discontinuous Foliations and Cocycles of Delayed Difference Equations, BP.PD; 24/23312-2 - Study of the center-focus problem in the nilpotent case, BP.MS; 24/13075-3 - Non-Linear Dynamics, Slow-Fast Systems and Biological Modeling, BP.IC

Abstract

In recent years, there has been intense scientific activity in the development of a qualitative theory for piecewise smooth dynamical systems, in the spirit of Poincaré's work. We will apply the geometric singular perturbation theory and slow-fast systems for the development of this study. (AU)

Scientific publications

(6)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BUZZI, CLAUDIO; GASULL, ARMENGOL; SANTANA, PAULO. On the cyclicity of hyperbolic polycycles. Journal of Differential Equations, v. 429, p. 32-pg., 2025-02-25. (19/10269-3, 23/02959-5, 22/14353-1, 21/01799-9)

GASULL, ARMENGOL; RONDON, GABRIEL; DA SILVA, PAULO RICARDO. On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems\ast. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 23, n. 3, p. 30-pg., 2024-01-01. (20/06708-9, 22/12123-9, 23/02959-5, 19/10269-3)

SILVA, CARLOS VINICIUS DAS NEVES; DA SILVA, PAULO RICARDO. On the Piecewise Holomorphic Systems with Three Zones. JOURNAL OF NONLINEAR SCIENCE, v. 36, n. 1, p. 42-pg., 2025-10-29. (24/15612-6, 23/02959-5)

GASULL, ARMENGOL; RONDON, GABRIEL; DA SILVA, PAULO R.. Simultaneous Bifurcation of Limit Cycles for Piecewise Holomorphic Systems. Journal of Dynamics and Differential Equations, v. N/A, p. 21-pg., 2025-05-22. (22/12123-9, 20/06708-9, 19/10269-3, 23/02959-5)

PANAZZOLO, DANIEL. Solutions of the equation a_n+(a_n-1+⋯(a₂+(a₁+x^r₁)^r₂)⋯)^r_n = bx. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 22-pg., 2024-07-22. (23/02959-5)

PEREZ, OTAVIO HENRIQUE; DA SILVA, PAULO RICARDO. Polynomial slow-fast systems on the Poincaré-Lyapunov sphere. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 26-pg., 2024-06-24. (23/02959-5, 21/10198-9, 19/10269-3)