A Chaotic Circuit with Ferroelectric Nonlinearity

Abstract

In this paper, the possibility of observing strange attractors in an electronic circuit including a nonlinear ferroelectric component has been investigated. The ferroelectric constitutes the medium interposed between the two plates of a capacitor. A circuit including the nonlinearity of the ferroelectric has been designed, while the parameters have been found by performing numerical integration with respect to different values of them. The circuit has been realized on a discrete components board. Experimental results, showing that for a suitable range of parameters a chaotic attractor emerges, are reported.

Atypical transistor-based chaotic oscillators: Design, realization, and diversity

“…11 To the circuits obtained following this approach, one should add many others which generate chaotic dynamics by design such as the well-known Chua's circuit, [12][13][14][15][16][17] and those which can exhibit chaos as an undesired or unexpected feature (e.g., power converters 18 and oscillators 19 ). Chaotic circuits feature nonlinearities originating from diverse devices including diodes, varactors, 20 operational amplifiers, 21 ferroelectric components, 22 and memristors. 23 Compared to the general abundance of known chaotic oscillators, relatively few circuit topologies based on a small number of discrete bipolar junction-transistors (BJTs), including non-autonomous 24,25 and autonomous [26][27][28][29][30] circuits, have been reported to date.…”

Abundant chaos in a mixer model with a hysteretic iron core inductance

“…Instead of using mechanical means or feedback, our idea is to produce the desired chaotic motion electrically using a RLC series circuit with hysteretic iron-core inductor. While exceptionally simple passive elements such as resistors, capacitors, and air core inductors do respond to a first order approximation nearly linearly, in devices that have ferromagnetic cores, the relationship between the flux density and magnetic field strength in the core is nonlinear [Visintin, 1994;Fortuna et al, 2006]. This nonlinear relationship depends on several factors among which the chemical constitution and structure of the magnetic material, the technological process for its fabrication, and the way the material is used.…”

Discrete Sliding Mode Control Design for Piezoelectric Actuator

“…In these studies, the hysteresis model has an ellipsoidal shape or trapezoidal shape. In addition, in [22] the hysteresis function is described as a fourdimensional chaotic system and its circuit implementation is designed in [23].…”