Reconfigurable Implementations of Chua's Circuit

Abstract

Chua's circuit is very suitable as a programmable chaos generator because of its robust nonlinearity. In addition to exhibiting a rich variety of bifurcation and chaos phenomenon, this circuit can be modeled and realized with a fixed main system block and many different nonlinear function blocks such as piecewise-linear function, cubic-like function, piecewise-quadratic function and other trigonometric functions. This paper presents a FPAA (Field Programmable Analog Array) based programmable implementation of Chua's circuit. Nonlinear function blocks used in Chua's circuit are modeled with an FPAA and hence a model can be rapidly changed for realization of other nonlinear functions. In this study, four FPAA-based reconfigurable implementations of Chua's circuit have been realized. Experimental results agree with numerical simulation and results obtained from discrete electronic implementations of Chua's circuit.

Linear synchronization and circuit implementation of chaotic system with complete amplitude control*

“…Here in this paper we use the newest integrated circuit technique of FPAA to realize the system discussed above. An Anadigm QuadApex development board with four AN231E04 chips [41][42][43][44] was used to construct a circuit implementation of systems (1) and (2) and to experimentally verify the amplitude control and offset boosting. Each chip contains four Configurable Analog Blocks (CABs) which perform the analog processing through using the fully differentiable switched capacitor technology.…”

Simple Chaotic Hyperjerk System

“…This means that a new design or a modification on the available design can be easily downloaded to an FPAA. In addition, FPAAs provide more efficient and economical solutions in a much smaller footprint and with increased reliability to design analog dynamical systems [Anadigm, 2016;Callegari et al, 2005;Caponetto et al, 2005;Kilic & Dalkiran, 2009, 2010. The flow diagram of a typical FPAA implementation is shown in Fig.…”

A Damping-Tunable Snap System: From Dissipative Hyperchaos to Conservative Chaos

“…Recently, field programmable analog arrays (FPAAs) [ 15 ], which offer reconfigurable circuits for analog signal processing, have been employed in implementing chaotic circuits and systems [ 16 , 17 , 18 ]. The advantages of FPAAs include that a mathematical model, such as a chaotic model, can be practically implemented by configurable circuits of FPAAs with ease, flexibility, reliability, and robustness.…”