By Bharathwaj Muthuswamy, Santo Banerjee
The function of this introductory booklet is to couple the educating of chaotic circuit and platforms conception with using box programmable gate arrays (FPGAs).
As such, it differs from different texts on chaos: first, it places emphasis on combining theoretical equipment, simulation instruments and actual recognition to assist the reader achieve an intuitive figuring out of the homes of chaotic structures. moment, the "medium" used for actual awareness is the FPGA. those units are hugely parallel architectures that may be configured to gain various good judgment services. accordingly, FPGAs will be configured to emulate platforms of differential equations.
Nevertheless maximizing the services of an FPGA calls for the person to appreciate the underlying and in addition FPGA layout software program. this can be completed via the 3rd virtue of this booklet: a lab part in every one bankruptcy. the following, readers are requested to test with laptop simulations and FPGA designs, to extra their figuring out of suggestions coated within the book.
This textual content is meant for graduate scholars in technology and engineering drawn to exploring implementation of nonlinear dynamical (chaotic) structures on FPGAs.
Read or Download A Route to Chaos Using FPGAs: Volume I: Experimental Observations PDF
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Extra info for A Route to Chaos Using FPGAs: Volume I: Experimental Observations
B. Using pplane, determine all possible qualitatively different phase portraits for this system, as α, β, γ , δ are changed. Note that the Lotka-Volterra system is available in pplane. 28 1 Introduction 3. pplane7 can be used to plot two dimensional phase plots. MATLAB has an equivalent command called quiver. Moreover, in order to plot vector fields for three dimensional systems, investigate the MATLAB command quiver3. 7. References 1. Steingrube S, Timme M, Worgotter F, Manoonpong P (2010) Self-organized adaptation of a simple neural circuit enables complex robot behaviour.
36 2 Designing Hardware for FPGAs Fig. 9 Connections between the slide switches and Cyclone IV FPGA  Fig. 10 Connections between the LEDs and Cyclone IV FPGA  There are also 18 slide switches on the DE2-115 board (See Fig. 9) . These switches are not debounced, and are assumed for use as level-sensitive data inputs to a circuit. Each switch is connected directly to a pin on the Cyclone IV FPGA. When the switch is in the down position (closest to the edge of the board), it provides a low logic level to the FPGA, and when the switch is in the up position it provides a high logic level.
In this example, we start quite a distance away (10, 20, 30). Yet our system still manages to get into a chaotic state. In other words, the Lorenz attractor is robust. 11 for quantifying “robustness”. For two dimensional systems, you can of course write a MATLAB program for simulating the system. However, a very nice tool is pplane7,5 available from Rice University . Download pplane7 from . Next, start MATLAB and navigate to the directory where you downloaded type pplane7. Type pplane7 at the prompt and press enter.