Bharathwaj Muthuswamy, Santo Banerjee's A Route to Chaos Using FPGAs: Volume I: Experimental PDF

By Bharathwaj Muthuswamy, Santo Banerjee

ISBN-10: 3319181041

ISBN-13: 9783319181042

ISBN-10: 331918105X

ISBN-13: 9783319181059

The goal of this introductory e-book is to couple the instructing 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 cognizance to aid the reader achieve an intuitive realizing of the houses of chaotic platforms. moment, the "medium" used for actual recognition is the FPGA. those units are vastly parallel architectures that may be configured to achieve quite a few good judgment capabilities. consequently, FPGAs might be configured to emulate structures of differential equations.

Nevertheless maximizing the services of an FPGA calls for the consumer to appreciate the underlying and in addition FPGA layout software program. this is often accomplished by means of the 3rd virtue of this booklet: a lab part in every one bankruptcy. the following, readers are requested to test with computing device simulations and FPGA designs, to additional their figuring out of suggestions coated within the book.

This textual content is meant for graduate scholars in technological know-how and engineering drawn to exploring implementation of nonlinear dynamical (chaotic) structures on FPGAs.

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Additional resources for A Route to Chaos Using FPGAs: Volume I: Experimental Observations

Example text

1. Given a system of differential equations, determine if they are linear or nonlinear. 2. 8. 3. Numerically simulate the system using MATLAB and display phase plots. Start with initial conditions near the equilibrium points. 4. The phase plot will qualitatively describe system behavior. Use the phase plot as a starting point for rigorous analysis. The beauty of the equilibrium point method lies in the fact that we do not find an explicit analytic solution. Rather, we determine any equilibrium points and determine system behavior by starting close to those equilibrium points.

15, one can infer that we should be able to specify each of the blocks via VHDL. However before we discuss the VHDL realization, we need to understand the concept of a globally synchronous design [6]. A large digital system should consist of subsystems that operate at different rates or different clock frequencies. In our 24-h clock, the seconds counter should be 1 1 Hz and the hours counter at 3600 Hz. updated at 1 Hz, the minutes counter at 60 There are primarily two approaches for clocking, shown in Figs.

4 show just how uniform this structure is. Let us examine the LE in Fig. 4 in some detail [2], since a LE is the basic design unit on an FPGA. Each LE features: • A four-input look-up table (LUT), which is a function generator that can implement any combinational logic function of four variables • A programmable register • A carry chain connection • A register chain connection • The ability to drive all types of interconnects: local, row, column, register chain and direct link interconnects • Support for register packing • Support for register feedback An LE can also operate in normal mode or arithmetic mode.

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

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