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

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 437
Author(s):  
Han-Ping Hu ◽  
Xiao-Hui Liu ◽  
Fei-Long Xie
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Lyapunov Exponents ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Programmable Analog ◽  
Large Numbers ◽  
Field Programmable ◽  
Programmable Device ◽  
Field Programmable Analog Array

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.

UNIVERSAL PROGRAMMABLE CHAOS GENERATOR: DESIGN AND IMPLEMENTATION ISSUES

2010 ◽  
Vol 20 (02) ◽  
pp. 419-435 ◽  
Author(s):  
RECAI KILIC
Keyword(s):  
Real Time ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Loop Model ◽  
Analog Device ◽  
Design And Implementation ◽  
Chaos Generator ◽  
Programmable Analog ◽  
Field Programmable ◽  
Programmable Device

Chaos generators are generally designed and implemented by using analog circuit design techniques. Analog implementations require a variety of circuitry that comprises different passive and active electronic components like individual op-amps, comparators, analog multipliers, trigonometric function generators. Anyone who wants to experimentally investigate different structurally chaotic systems has to provide a significant amount of circuit hardware. This process may be hard and time consuming. At this stage, the question to be asked: Is there a unique analog component for implementing a universal analog chaos generator which is capable of generating the chaotic signals of nearly all analog-based chaotic systems. Fortunately, we can now answer this question positively. This analog device is FPAA (Field-Programmable Analog Array). FPAA is the analog equivalent of the FPGA (Field-Programmable Gate Array) used as programmable device in digital signal processing. FPAA is a programmable device for implementing a rich variety of systems including analog functions via dynamic reconfiguration. FPAA can be configured in real time which allows the designers to modify the design or make completely new design in real time. In this paper, we aim to show how FPAA device can be used as universal device for design and implementation of programmable analog chaos generators. For this purpose, we will introduce three FPAA-based design examples: autonomous Chua's circuit, nonautonomous MLC (Murali–Lakshmanan–Chua) circuit and a chaotic system based on a PLL (Phase Locked Loop) model.

RECONFIGURABLE HARDWARE PLATFORM FOR EXPERIMENTAL TESTING AND VERIFYING OF MEMRISTOR-BASED CHAOTIC SYSTEMS

2014 ◽  
Vol 23 (10) ◽  
pp. 1450145 ◽  
Author(s):  
SEDA ARIK ◽  
RECAİ KILIÇ
Keyword(s):  
Chaotic Systems ◽  
Experimental Testing ◽  
Reconfigurable Hardware ◽  
Nonlinear Functions ◽  
Hardware Platform ◽  
Simulation Tools ◽  
Programmable Analog ◽  
Field Programmable ◽  
Field Programmable Analog Array

Although the memristor is produced physically, it is not commercially available yet. For this reason the testing and verifying of memristor-based systems are performed only by using simulation tools and emulator circuits composed of generally discrete components. In this study, field programmable analog array (FPAA) as a reconfigurable hardware platform is introduced for the experimental testing and verifying of memristor-based chaotic systems. By using this platform, it is possible to implement several memristor-based chaotic systems characterized with different nonlinear functions on a unique hardware in a reconfigurable and programmable manner without the need for different emulators. For this purpose, three memristor-based chaotic systems were constructed on this platform and their behaviors were verified experimentally.

Implementations of Modified Chaotic Neural Models with Analog Reconfigurable Hardware

2014 ◽  
Vol 24 (04) ◽  
pp. 1450046
Author(s):  
Nimet Korkmaz ◽  
Recai Kilic
Keyword(s):  
Neural Network ◽  
Neural Models ◽  
Neuron Models ◽  
Chaotic Neural Network ◽  
Programmable Analog ◽  
Field Programmable ◽  
Programmable Device ◽  
Chaotic Neuron ◽  
Reconfigurable Device ◽  
Field Programmable Analog Array

This paper focuses on implementations of two modified Aihara's chaotic neuron models and a simple chaotic neural network constructed with two chaotic neurons in a programmable and reconfigurable manner with an analog programmable device, FPAA (Field Programmable Analog Array). After testing the chaotic behaviors of two chaotic neuron models and a simple chaotic neural network through numerical analyses that consist of time domain responses, phase portrait illustrations and bifurcation diagrams, the experimental setup is constructed with a FPAA device. The parametric adjustments of chaotic neural structures are possible with the proposed flexible design methodology and different chaotic neuron models are constructed on the same reconfigurable device without any hardware changes. Experimental results verify the dynamic behaviors of these chaotic neural structures and demonstrate the efficiency of programmable implementations.

Rapid prototyping of algorithmic A/D converters based on FPAA devices

2013 ◽  
Vol 61 (3) ◽  
pp. 691-696 ◽  
Author(s):  
R. Suszynski ◽  
K. Wawryn
Keyword(s):  
Rapid Prototyping ◽  
Sinusoidal Signal ◽  
Digital Converter ◽  
Mixed Signal ◽  
Analog Digital Converter ◽  
Signal Systems ◽  
Programmable Analog ◽  
Field Programmable ◽  
Field Programmable Analog Array

Abstract A rapid prototyping method for designing mixed signal systems has been presented in the paper. The method is based on implementation of the field programmable analog array (FPAA) to configure and reconfigure mixed signal systems. A serial algorithmic analog digital converter has been used as an example. Three converter architectures have been selected and implemented FPAA device. To verify and illustrate converters operation and prototyping capabilities, implemented converters have been excited by a sinusoidal signal. Analog sinusoidal excitations, digital responses and sinusoidal waveforms after reconstruction are presented.

A CMOS field-programmable analog array

1991 ◽  
Vol 26 (12) ◽  
pp. 1860-1867 ◽  
Author(s):  
E.K.F. Lee ◽  
P.G. Gulak
Keyword(s):  
Programmable Analog ◽  
Field Programmable ◽  
Field Programmable Analog Array

TIME-DELAY EMBEDDINGS OF IFS ATTRACTORS

Fractals ◽  
1999 ◽  
Vol 07 (02) ◽  
pp. 133-138
Author(s):  
SONYA BAHAR
Keyword(s):  
Time Series ◽  
Time Delay ◽  
Periodic Orbits ◽  
Topological Structure ◽  
Chaotic Systems ◽  
Iterated Function System ◽  
Function System ◽  
Chaotic Attractors ◽  
Topological Characterization ◽  
Iterated Function

A modified type of iterated function system (IFS) has recently been shown to generate images qualitatively similar to "classical" chaotic attractors. Here, we use time-delay embedding reconstructions of time-series from this system to generate three-dimentional projections of IFS attractors. These reconstructions may be used to access the topological structure of the periodic orbits embedded within the attractor. This topological characterization suggests an approach by which a rigorous comparison of IFS attractors and classical chaotic systems may be attained.

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