We have investigated synchronized patterns in a network of Thomas oscillators coupled with sinusoidal nonlinear and linear couplings. Patterns like chimera cluster states are not only observed for many nonlocally oscillators, it is also nearly local topology the case coupling. As coupling radius increases, critical constant complete synchronization decreases. Crater-like structure snapshot whic...

Large scale simulations of electrically coupled neuronal oscillators often employ the phase coupled oscillator paradigm to understand and predict network behavior. We study the nature of the interaction between such coupled oscillators using weakly coupled oscillator theory. By employing piecewise linear approximations for phase response curves and voltage time courses and parametrizing their s...

In this work, we study dynamical behavior in a ring of coupled nonlinear oscillators and focus on the stability of homogeneous steady state and splay states by performing linear stability analysis. Different cases from local (nearest-neighbor) coupling to global (all-to-all) coupling by increasing the range of coupling are studied. Some explicit stability results for each possible splay state a...

This paper studies synchronization of coupled second-order linear harmonic oscillators with local interaction.We analyze convergence conditions over, respectively, directed fixed and switching network topologies by using tools from algebraic graph theory,matrix theory, and nonsmooth analysis. It is shown that the coupled harmonic oscillators can be synchronized under mild network connectivity c...

Systems of coupled oscillators possess a wealth of interesting and useful nonlinear dynamical phenomena. Arrays of coupled oscillators have been used to model complicated biological and neural activity, and have proved useful in power-combining applications. The analysis of such arrays is difficult, and has generally been restricted to the case where all oscillators are synchronized to a common...

Central Pattern Generators (CPGs) have become a popular solution for robot’s locomotion control, in particular for snake-like robots. CPGs based on coupled nonlinear oscillators can be integrated with a sensory feedback to adapt the robot’s locomotion to the environment or to achieve the desired dynamic characteristics of the movement. In this paper we present an adaptive head stabilisation sys...