This paper studies time-delay synchronization of a periodically modulated Duffing Van der Pol (DVP) oscillator subjected to uncertainties with emphasis on complete synchronization. A robust adaptive response system is designed to synchronize with the uncertain drive periodically modulated DVP oscillator. Adaptation laws on the upper bounds of uncertainties are proposed to guarantee the boundedn...

This paper extends the energy-based version of the stochastic linearization method, known for classical nonlinear systems, to open quantum systems with canonically commuting dynamic variables governed by quantum stochastic differential equations with non-quadratic Hamiltonians. The linearization proceeds by approximating the actual Hamiltonian of the quantum system by a quadratic function of it...

Literature has shown that harmonically excited nonlinear Duffing and pendulum oscillators can respond chaotically under the influence of some their drive parameters combination. However, literature is scarce on steady state responses these when arbitrarily periodically. Therefore, this research was designed to investigate potential qualitative quantitative variation in Poincare solutions select...