How Crucial is Small World Connectivity for Dynamics?
Prashant M. Gade, Sudeshna Sinha
Abstract
We study the dynamical behaviour of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We observe that significant changes in dynamical properties occur only at a reasonably high strength of nonlocal coupling. Further, spectral features, such as signal-to-noise ratio (SNR), change monotonically with respect to the fraction of random rewiring, i.e. there is no optimal value of the rewiring fraction for which spectral properties are most pronounced. We also observe that for small rewiring, results are similar to those obtained by adding small noise.
Create a lesson
Related papers
A comparison of three models of a whirling string as it becomes chaotic
Nicholas B. Tufillaro
Modal interactions in strongly nonlinear coupled oscillators with closely spaced modes and nonclassical damping distribution
C. A. Hubay, T. Kalmar-Nagy, L. Bergman et al.
Nonintegrability theorem on perturbed integrable Hamiltonian dynamical systems with two independent resonances
Nikos Zafeiriadis, Efthymia Meletlidou, Christos Efthymiopoulos et al.
PRISM: Unifying multiphysics optothermal transport and identifiability-guided inference for nanoscale thermal metrology
Yicong Qiu, Ziyang Zhong, Ziyan Qian et al.
Ultraslow diffusion emerging from local symmetry breaking in quenched disorder
Jin Liu, Rainer Klages, Huihai Wang et al.
A model for the dimension of the inertial manifold of the Kuramoto-Sivashinsky equation
Melisa Y. Vinograd, Patricio Clark di Leoni