Many advancements have been made in the field of topological mechanics. The majority works, however, concerns invariant a linear theory. We, this work, present generic prescription defining indices which accommodates non-linear effects mechanical systems without taking any approximation. Invoking tools differential geometry, Z-valued quantity terms Poincare-Hopf index, that features zero modes ...

This article investigates the transformation of Hamiltonian structures under sampling. It is shown that exact sampled equivalent model associated to a given port-Hamiltonian continuous-time dynamics exhibits discrete-time representation in terms discrete gradient, with same energy function but modified damping and interconnection matrices. By construction, proposed sampled-data guarantees match...

Abstract Using nonlinear chaotic systems for secure communication is an application field presented in recent published research. This paper aims at improving the security of signal transmission using encryption. The proposed approach uses a combined analogue and discrete-time structure, both emitter synchronizing receiver. prototype system used similar to Lorenz oscillator. Our study presents ...