A Route to Chaos Using FPGAs: Volume I: Experimental by Bharathwaj Muthuswamy, Santo Banerjee

By Bharathwaj Muthuswamy, Santo Banerjee

The objective of this introductory e-book is to couple the instructing of chaotic circuit and structures idea 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 awareness to aid the reader achieve an intuitive knowing of the houses of chaotic platforms. moment, the "medium" used for actual consciousness is the FPGA. those units are hugely parallel architectures that may be configured to gain numerous common sense services. for that reason, FPGAs might be configured to emulate platforms of differential equations.

Nevertheless maximizing the features of an FPGA calls for the person to appreciate the underlying and in addition FPGA layout software program. this can be accomplished by way of the 3rd virtue of this publication: a lab part in every one bankruptcy. right here, readers are requested to scan with laptop simulations and FPGA designs, to additional their knowing of ideas coated within the book.

This textual content is meant for graduate scholars in technology and engineering attracted to exploring implementation of nonlinear dynamical (chaotic) platforms on FPGAs.

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The DE2-115 board includes one oscillator that produces 50 MHz clock signal. A clock buffer is used to distribute 50 MHz clock signal with low jitter to the FPGA. The board also includes two Subminiature Version A (SMA) connectors which can be used to connect an external clock source to the board or to drive a clock signal out through the SMA connector. In addition, all these clock 2 These are not the only possible development platforms that can be used to realize chaotic dynamics. Please utilize the companion website to obtain information on other development platforms and software tools.

2) respectively. 2) 2. 1. 3. sevenSegmentDecoder: The seven segment decoder is a standard decimal to hex decoder module. 2. 3. org/muthuswamy/ARouteToChaosU singFPGAs/ReferenceDesigns/volumeI-ExperimentalObservations/chapter2/ripple CarryAdder/. 4 VHDL Sequential Logic Design So far we have seen designs whose output only dependent on the current input, not on the past history of inputs. Digital circuits where the input depends on both the present and past history of inputs (or the entire sequence of input values) are called sequential logic circuits [6].

But, interestingly, we can predict the behavior of most physical systems without solving for an explicit closed form solution. An introduction to this approach is the topic of Sect. 3. 3 Fixed (Equilibrium) Points Consider the differential equation in Eq. 53), written explicitly using time t: dx = cos(x(t)) dt Physically, points of interest are x † for which the derivative x †. 53) dx dt x † = 0. In other words, the system does not “move” from Such points are called fixed points or equilibrium points.

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