Design and Implementation of Autonomous and Non-Autonomous Time-Delay Chaotic System Based on Field Programmable Analog Array

Abstract

Time-delay chaotic systems can have hyperchaotic attractors with large numbers of positive Lyapunov exponents, and can generate highly stochastic and unpredictable time series with simple structures, which is very suitable as a secured chaotic source in chaotic secure communications. But time-delay chaotic systems are generally designed and implemented by using analog circuit design techniques. Analog implementations require a variety of electronic components and can be difficult and time consuming. At this stage, we can now solve this question by using FPAA (Field-Programmable Analog Array). FPAA is a programmable device for implementing multiple analog functions via dynamic reconfiguration. In this paper, we will introduce two FPAA-based design examples: An autonomous Ikeda system and a non-autonomous Duffing system, to show how a FPAA device is used to design programmable analog time-delay chaotic systems and analyze Shannon entropy and Lyapunov exponents of time series output by circuit and simulation systems.

Implementation of A/D converter with window using field programmable analog array

“…The circuit can be loaded by connecting a PC to the FPAA electronic circuit board and downloading it to the board, which allows it to be rewritten. FPAAs have been studied for various engineering applications, including the implementation of various chaotic circuits [2][3][4][5][6][7], photovoltaic emulators [8], high-order A/D converter (ADC) systems [9,10], support for combustion process control in the chambers of huge industrial furnaces [11], implementation of neuronal and neural network models [12,13], and development of an electronic nose gas sensor [14].…”

Implementation of Various Chaotic Spiking Oscillators Based on Field Programmable Analog Array

“…Although previous studies ( [3], [4] and references therein) have implemented chaotic circuits used FPAAs, these circuits lacked a reset operation such as dynamics of the proposed CSOs. CSOs with a reset operation are considered to be switched dynamical systems (SDSs).…”