By using the adaptive backstepping approach, the non-periodic oscillating signal is transformed into the periodic one, global stability of the closed-loop system is guaranteed. Meanwhile, the output of the nonlinear oscillator asymptotically tracks an arbitrarily given reference signal.
The simplest nonlinear system-the quantum nonlinear oscillator system is onvestigated as our research object and the effects of the temperature of the environment in the decoherence process and the quantum-classical transition for the system are discussed.
Firstly, we obtained the second order solutions of a quadratic nonlinear oscillator respectively by these two methods, and demonstrated that the solution obtained by convolution integral was uniformly convergent.
The potentialities of the method under discussion are demonstrated by the example of the test problem of multiparametric nonlinear oscillator identification.
The dynamics of cluster electrons in a laser field is considered in the framework of the nonlinear oscillator model.
Noise-induced escape from the basin of attraction of a strange attractor (SA) in a periodically excited nonlinear oscillator is investigated.
The variation of the structure of the control parameter space for a nonautonomous nonlinear oscillator is demonstrated with a harmonically excited nonautonomous oscillatory circuit with a piecewise linear capacitance.
Evaluating the attractor dimension of a nonlinear oscillator