Spatio-temporal chaos in continuous-time dynamical networks

Collective chaos is a nontrivial collective behavior consisting of the persistence of chaotic behavior at the macroscopic level in systems of interacting dynamical elements possessing individual periodic behavior. This phenomenon is manifested by the existence of chaotic supertransients in time before the system synchronizes into its period attractor. We investigate the role of the range of interactions on the emergence of collective chaos in spatiotemporal dynamical networks by considering ring network of coupled elements with a varying range of interactions. We encounter a critical range of about 20% of the system size above which no collective chaos is observed and the network invariably synchronizes in the periodic orbit of the constitutive elements. We find that collective chaos does not occur in globally coupled networks of continuous time systems when the intensity of the coupling parameter is below some critical value. We characterize the synchronized state of a system through a measure of the standard deviation of the states of the elements. Our results indicate that the topology of connectivity of the network, as well as the strength of coupling between the elements, are crucial factors for the emergence of collective chaos in spatiotemporal dynamical systems.

• Autor principal: Eraso Ortiz, David Nicolás (author)
• Formato: bachelorThesis
• Lenguaje: eng
• Publicado: 2023
• Materias: Sistemas complejos; Caos transitorio; Redes dinámicas; Complex systems; Transient chaos; Dynamical networks
• Acceso en línea: http://repositorio.yachaytech.edu.ec/handle/123456789/688