Abstract
The nonlinear dynamics of an autonomous chaotic oscillator, using two different stages operational amplifier coupled by mean of diode employed as the nonlinear device, recently introduced by Giannakopoulos and Deliyannis is considered with some particular modifications. These modifications are necessary for generating new type of oscillations, the regular and chaotic pulse oscillations according to the nature of operational amplifiers. Based on the nonlineardiode equation, the transfer voltage function of operational amplifiers in open loop configuration, and an appropriate selection of the state variables, a mathematical model is derived for a better description of the dynamics of the system. The complexness of oscillations is characterized using the bifurcation diagrams and the phase portraits. Some PSPICE simulations of the nonlinear dynamics of the oscillator are presented in order to confirm the ability of the oscillator to generate both the regular and chaotic pulse oscillations, according to the appropriate choice of its components.
Highlights
In recent years, communications via open networks such as satellites and internet occur more and more frequently
We have presented an autonomous chaotic pulse oscillator, using two stages operational amplifier coupled by mean of diode employed as the nonlinear device element, as well as a new mathematical model for a better description of its nonlinear dynamics
The dynamics of the system has been characterized with respect to the transfer voltage gain of operational amplifiers
Summary
Communications via open networks such as satellites and internet occur more and more frequently. More recently [11], the autonomous chaotic oscillator, consisting of the Deliyannis single amplifier biquad [11,12] and a LC resonant circuit coupled by means of a diode has been considered. We reconsider the chaotic oscillator previously introduced in [11], in which some particular modifications have been carried out in order to introduce new effects on its dynamics, and we study the effects due to operational amplifiers on the dynamics of the system To this end, the paper is organized as follows: In Section 2 we present the circuit under consideration, derive the equation of state and study the fixed point stability.
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