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It is of paramount importance to acquire the response of many nonlinear forced vibration system. In this paper, a new method was presented to explore the approximate analytical solution of forced vibration system which is named harmonic iteration method (HIM). By regarding nonlinear resilience force and dissipate force as external forces and using the method of iteration until satisfying the precision...
Nowadays, identification, dynamical analysis, control and synchronization of fractional dynamical systems have become a focus topic in the nonlinear research fields. Researchers always us a linear time invariant transfer function (LTI) to approximate the fractional transfer function in related numerical investigation and then put their results into circuits designing, signal processing, etc. In this...
In this paper, a practical synchronous criterion of linearly diffusively coupled ordinary differential equations are constructed in with Lyapunov stability theory. The main theorem in this brief paper has extended some corresponding results in the literature. Meanwhile, taking Lorenz chaotic dynamical network as an example, numerical experiments on some typical linear coupling chaotic dynamical networks,...
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