Skeletal structure in domain of periodicity of the forced Brusselator.
Autor: | Maranhão DM; Faculdade de Tecnologia do Estado de São Paulo, Câmpus Itaquera, Av. Miguel Ignácio Cury 360, 08295-005 São Paulo, Brazil.; Departamento de Física, Universidade Federal de São Paulo (UNIFESP), Instituto de Ciências Ambientais, Químicas e Farmacêuticas, Câmpus de Diadema, R. São Nicolau 210, 09913-030 Diadema, SP, Brazil., Medrano-T RO; Departamento de Física, Universidade Federal de São Paulo (UNIFESP), Instituto de Ciências Ambientais, Químicas e Farmacêuticas, Câmpus de Diadema, R. São Nicolau 210, 09913-030 Diadema, SP, Brazil.; Departamento de Física, Universidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Câmpus Rio Claro, Av. 24A, 1515, 13506-900 São Paulo, Brazil. |
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Jazyk: | angličtina |
Zdroj: | Chaos (Woodbury, N.Y.) [Chaos] 2024 Dec 01; Vol. 34 (12). |
DOI: | 10.1063/5.0238883 |
Abstrakt: | 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. (© 2024 Author(s). Published under an exclusive license by AIP Publishing.) |
Databáze: | MEDLINE |
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