Resonance in networked systems with heterogeneous timescales

• Grant number: 25/05968-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2025
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
• Principal Investigator: Everton Santos Medeiros
• Grantee: Vinicius de Paula Chakur Farah
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Associated research grant: 23/15040-0 - Developing local control strategies for the dynamics of self-organizing systems, AP.JP

Abstract

The self-organizing systems of interest in this project may exhibit multiple interacting timescales. For example, in physical systems composed of many interacting particles, the rate at which energy is dissipated by individual particles can differ significantly from the timescale governing their mutual interactions. These mismatches become even more pronounced in systems where particles have heterogeneous masses. To better understand the role of such timescale mismatches, we propose, at the undergraduate research level, an investigation into the effects of multiple timescales in networks of coupled oscillators. Specifically, we will examine systems in which both the network topology and the internal timescales of the oscillators are distributed according to power laws. Within this framework, the undergraduate student will explore whether such complex networks can exhibit the phenomenon of resonance.