Abstract
An electronic implementation of a novel Wien bridge oscillation with antiparallel diodes is proposed in this paper. As a result, we show by using classical nonlinear dynamic tools like bifurcation diagrams, Lyapunov exponent plots, phase portraits, power density spectra graphs, time series, and basin of attraction that the oscillator transition to chaos is operated by intermittency and interior crisis. Some interesting behaviors are found, namely, multistability, hyperchaos, transient chaos, and bursting oscillations. In comparison with some memristor-based oscillators, the plethora of dynamics found in this circuit with current-voltage (i–v) characteristic of diodes mounted in the antiparallel direction represents a major advance in the knowledge of the behavior of this circuit. A suitable microcontroller based design is built to support the numerical findings as these experimental results are in good agreement.
Highlights
An evidence fact in the research community is that the electronic circuits containing nonlinear elements exhibit rich dynamic behavior and it has been described in numerous books [1,2,3,4]. e research of chaotic memristive circuits is a hot topic of academic research in these recent years [5,6,7,8] due to their tremendous engineering applications
(i) Multistability is a critical property of nonlinear dynamical systems, where a variety of behaviors such as coexisting attractors can appear for the same parameters, but different initial conditions. e flexibility in the system’s performance can be Mathematical Problems in Engineering achieved without changing parameters. is striking scenario has been witnessed in numerous fields of engineering ranging across physics [18], biology [19], chemistry [20], electronics [21,22,23], and mechanics, as well as reported applications in oscillators and secure communications
We explore the 5D Wien bridge memristive oscillator with antiparallel diodes with smooth (i–v) characteristics not yet explored in this circuit with interesting dynamics discover: (i) Intermittency route to chaos (ii) Transient chaos (iii) Hyperchaos with offset boosting and partial amplitude control (iv) Multistability (v) Bursting oscillations (vi) e successful microcontroller implementation e (i–v) characteristic model without approximations of the behavior of the nonlinear element diodes connected in antiparallel direction, constitutes an advance in the field of research for this Wien bridge oscillator
Summary
An evidence fact in the research community is that the electronic circuits containing nonlinear elements exhibit rich dynamic behavior and it has been described in numerous books [1,2,3,4]. e research of chaotic memristive circuits is a hot topic of academic research in these recent years [5,6,7,8] due to their tremendous engineering applications. As we recall, finding chaotic circuits, (i) which modeled some important unsolved problems in nature, (ii) shed insight on that problems, and (iii) exhibited some behavior previously unobserved [44], is still a major interest For this purpose, we explore the 5D Wien bridge memristive oscillator with antiparallel diodes with smooth (i–v) characteristics not yet explored in this circuit with interesting dynamics discover:. (i) Intermittency route to chaos (ii) Transient chaos (iii) Hyperchaos with offset boosting and partial amplitude control (iv) Multistability (v) Bursting oscillations (vi) e successful microcontroller implementation e (i–v) characteristic model without approximations of the behavior of the nonlinear element diodes connected in antiparallel direction, constitutes an advance in the field of research for this Wien bridge oscillator.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
