The impact of chaotic saddles on the synchronization of complex networks of discrete-time units

Autor(es)

Medeiros, Everton S. ^[1] ; Medrano-T, Rene O. ^{[2, 3]} ; Caldas, Ibere L. ^[4] ; Feudel, Ulrike ^[5]

Afiliação do(s) autor(es)

^[1] Tech Univ Berlin, Inst Theoret Phys, Hardenbergstr 36, D-10623 Berlin - Germany

^[2] Univ Fed Sao Paulo, Dept Fis, Campus Diadema, R Sao Nicolau 210, BR-09913030 Sao Paulo, SP - Brazil

^[3] Univ Estadual Paulista, Inst Geociencias & Ciencias Exatas, Dept Fis, Campus Rio Claro, Av 24A, 1515, BR-13506900 Sao Paulo, SP - Brazil

^[4] Univ Sao Paulo, Inst Phys, Rua Matao, Travessa R 187, BR-05508090 Sao Paulo - Brazil

^[5] Carl von Ossietzky Univ Oldenburg, Inst Chem & Biol Marine Environm, Oldenburg - Germany

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF PHYSICS-COMPLEXITY; v. 2, n. 3 SEP 2021.
• Citações Web of Science: 0

Resumo

A chaotic saddle is a common nonattracting chaotic set well known for generating finite-time chaotic behavior in low and high-dimensional systems. In general, dynamical systems possessing chaotic saddles in their state-space exhibit irregular behavior with duration lengths following an exponential distribution. However, when these systems are coupled into networks the chaotic saddle plays a role in the long-term dynamics by trapping network trajectories for times that are indefinitely long. This process transforms the network's high-dimensional state-space by creating an alternative persistent desynchronized state coexisting with the completely synchronized one. Such coexistence threatens the synchronized state with vulnerability to external perturbations. We demonstrate the onset of this phenomenon in complex networks of discrete-time units in which the synchronization manifold is perturbed either in the initial instant of time or in arbitrary states of its asymptotic dynamics. The role of topological asymmetries of Erdos-Renyi and Barabasi-Albert graphs are investigated. Besides, the required coupling strength for the occurrence of trapping in the chaotic saddle is unveiled. (AU)

• Processo FAPESP: 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 17/05521-0 - Extinções desencadeadas por pontos críticos em redes ecológicas complexas
• Beneficiário: Everton Santos Medeiros
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 13/26598-0 - Caracterização das Fronteiras entre Periodicidade e Caos no Espaço de Parâmetros
• Beneficiário: Everton Santos Medeiros
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 18/03211-6 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático