The ability to move in complex environments is one of the most important features of humans and animals. In this work, we exploit a bio-inspired method to generate different gaits in a bipedal locomotion system. We use the 4-cell CPG model developed by Pinto [21]. This model has been established on symmetric coupling between the cells which are responsible for generating oscillatory signals. Th...

We prove the existence of a unique SRB measure for a wide range of multidimensional weakly coupled map lattices. These include piecewise expanding maps with diffusive coupling.

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on coupling strengths which ensure the stability of synchronized chaos. Previous results in this area involving particular coupling schemes (e.g. global coupling an...

It is known that amplitude death can occur in networks of coupled identical oscillators if they interact via diffusive time-delayed coupling links. Here we consider networks of oscillators that interact via direct time-delayed coupling links. It is shown analytically that amplitude death is impossible for directly coupled Stuart-Landau oscillators, in contradistinction to the case of diffusive ...

Partial network synchronization is studied for a class of nonlinear oscillators interconnected through diffusive dynamic couplings. We construct diffusive dynamic couplings combining nonlinear observers and output feedback controllers. Sufficient conditions on the systems to be interconnected, on the network topology, on the observer dynamics, and on the coupling strength that guarantee (global...

In this article, free-will arbitrary time consensus protocols are proposed for multi-agent systems with single- and double- (possibly higher-order) integrator dynamics, respectively, switching) connected interaction graphs bounded matched disturbances. Under the laws, an average is achieved in a prespecified regardless of initial conditions or any other design parameters. Further, laws case no ...

We prove the existence of fast traveling pulse solutions in excitable media with non-local coupling. Existence results had been known, until now, in the case of local, diffusive coupling and in the case of a discrete medium, with finite-range, non-local coupling. Our approach replaces methods from geometric singular perturbation theory, that had been crucial in previous existence proofs, by a P...