Mahesh Wickramasinghe

TL;DR: In this paper, a chemical system of nickel electrodissolution was studied in which synchronization patterns were recorded in systems with smooth periodic, relaxation periodic, and chaotic oscillators organized in networks composed of up to twenty dynamical units and 140 connections.

TL;DR: Partial recurrence based synchronization analysis is introduced to tackle the challenge of coupling structure in networks of nonlinear oscillatory systems with multiple time scales and is successfully applied to model systems and experimental data from coupled electrochemical oscillators.

TL;DR: The exploration of dynamical features with networked reactions could open up ways for identification of novel types of patterns that cannot be observed with reaction diffusion systems (with localized interactions) or with reactions under global constraints, coupling, or feedback.

TL;DR: This work provides a detailed characterization of chaotic electrochemical oscillations obtained experimentally as well as numerically from a corresponding mathematical model, and demonstrates that since temperature increase induces more complex chaotic chemical reactions, the recurrence network properties describing attractor geometry also change gradually.

TL;DR: An approximate formula for the frequency of oscillations is theoretically derived for skeleton models for electrochemical systems exhibiting negative differential resistance (NDR) under conditions close to supercritical Hopf bifurcation points and confirmed in experiments with copper and nickel electrodissolution.