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

By Bharathwaj Muthuswamy, Santo Banerjee

The objective of this introductory publication is to couple the instructing of chaotic circuit and structures concept 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 knowing of the homes of chaotic platforms. moment, the "medium" used for actual awareness is the FPGA. those units are hugely parallel architectures that may be configured to achieve a number of good judgment capabilities. consequently, FPGAs might be configured to emulate structures 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 means of the 3rd virtue of this e-book: a lab part in each one bankruptcy. the following, readers are requested to test with computing device simulations and FPGA designs, to additional their realizing of recommendations lined within the book.

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

Show description

By Bharathwaj Muthuswamy, Santo Banerjee

The objective of this introductory publication is to couple the instructing of chaotic circuit and structures concept 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 knowing of the homes of chaotic platforms. moment, the "medium" used for actual awareness is the FPGA. those units are hugely parallel architectures that may be configured to achieve a number of good judgment capabilities. consequently, FPGAs might be configured to emulate structures 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 means of the 3rd virtue of this e-book: a lab part in each one bankruptcy. the following, readers are requested to test with computing device simulations and FPGA designs, to additional their realizing of recommendations lined within the book.

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

Show description

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

Example text

18 A state transition diagram for the Mealy FSM realization of the single pulse generator. The circles represent states and the arcs represent transitions between states. Input(s)/Output(s) are specified on the arcs. It is assumed that transitions take place only on clock edges and hence synchronous behaviour is implied. Hence, the output is logic 1 only when we transition from the Input0 to Input1 state, in other words, the output is high only for one clock pulse. A Moore FSM is specified in a similar manner, except the outputs are given in the states.

Going back to Fig. 1, a natural question is: how do we utilize software to realize a design onto an FPGA? The answer is: FPGA manufacturers provide advanced software tools for FPGA hardware design. The toolset that Altera provides is the Quartus suite. 2 The Architecture of an FPGA 33 we are implementing differential equations, we will primarily utilize MATLAB and Simulink. Nevertheless, we first need to choose the appropriate development board. 3 An Overview of the Hardware and Software Development Platform In order to physically realize our differential equations, we will use the DE2-115 board2 [3] shown in Fig.

Chen G, Ueta T (2002) Chaos in circuits and systems. World Scientific, Singapore 4. Van der Pol B (1927) On Relaxation-oscillations, The London, Edinburgh and Dublin Philos Mag J Sci 2(7):978–992 5. Van der Pol B, Van der Mark J (1927) Frequency demultiplication. Nature 120:363–364 6. Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20:130–141 7. Matsumoto T (1984) A chaotic attractor from Chua’s circuit. IEEE Trans Circuits Syst CAS 31(12):1055–1058 8. Chua LO (2011) Chua’s circuit.

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