Autonomous 4-D hyperchaotic oscillator and synchronization

Chaotic Pulse Generation Induced by a Specific Class of Autonomous Oscillator

“…The second stage contains both the linear capacitors c 2 and c 3 , the resistors R 4 and R 7 in the positive feedback, and also the resistors R 5 and R 6 in the negative feedback. We notice that in [11], the resistors R 1 and R 2 had been not introduced and the effects due to operational amplifiers were neglected. In present work and in order to approximate our studies to the results which can be obtained with physical realistic operational amplifiers with the best accuracy, we suppose that the voltage difference between the positive and negative terminals V in = V + -V -operational amplifiers are nonzero, that is the operational amplifiers are supposed to be non ideal.…”

“…In this paper, 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.…”

“…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. In this chaotic oscillator, the negative resistance has been introduced in order to preserve the oscillations and has been implemented by using a negative impedance converter.…”