Work

Skeletal structure in domain of periodicity of the forced Brusselator

Year: 2024

Type: article

Abstract: We report the peculiar organization of oscillations in the forced Brusselator system, found in the parameter space as a nested structure of regular and chaotic phases. To this end, we apply the winding number concept, conceived for nonlinear driven oscillators, to expose all oscillatory phases in the nested structure. First, we use the period and torsion of orbits to describe every periodic oscillation in the parameter spaces, describing the nested structure in high-resolution phase diagrams. Next, we propose a basic structure organizing the periodicity, a "skeletal set" whose properties elucidate the genealogy and composition of oscillations in the nested structure. Finally, we discuss the application of the skeletal structure in a diversity of Brusselator's oscillatory regimes.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0238883

Authors: Dariel M. Maranhão, Rene O. Medrano-T

Institutions: São Paulo State Technological College, Instituto de Ciências Ambientais, Químicas e Farmacêuticas, Universidade Federal de São Paulo, Universidade Estadual Paulista (Unesp)

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G2502621980, Basins of Attraction: From unidimensional maps to complex networks