Nonlinear dynamics in circuits

Pt. I. Circuits and theory. Nonlinear dynamics in driven and autonomous electronic circuits: from period doubling to systems of multiple oscillators / Paul S. Linsay -- Symmetric dynamics and electronic circuits / Peter Ashwin -- Bifurcations and chaos in an oscillator with inertial nonlinearity / V.S. Anischenko and V.V. Astakhov -- Bifurcations and chaotic states in forced oscillatory circuits containing saturable inductors / Tetsuya Yoshinaga and Hiroshi Kawakami -- A BiCMOS binary hysteresis chaos generator / S. Ahmadi and R.W. Newcomb -- Experimenting with chaos in electronic circuits / N.F. Rulkov and A.R. Volkovskii -- pt. II. Applications of circuits. Analog simulations of chaotic and stochastic systems / Leone Fronzoni and Frank Moss -- Synchronizing chaotic circuits / Thomas L. Carroll and Louis M. Pecora -- Analysis, synthesis and applications of self-synchronizing chaotic systems / Kevin M. Cuomo and Alan V. Oppenheim -- Chua's circuit: chaotic phenomena and applications / Ladislav Pivka, Chai Wah Wu, and Leon O. Chua -- Controlling chaos in electronic circuits / G.A. Johnson and E.R. Hunt -- Using chaos for digital communications / Scott Hayes and Celso Grebogi

This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance. The circuit experiments that are described are mostly easy and inexpensive to reproduce, and yet these experiments come from the forefront of nonlinear dynamics research. The individual chapters describe why analog circuits are so useful for studying nonlinear dynamics, and include theoretical as well as experimental results from some of the leading researchers in the field. Most of the articles contain some tutorial sections for the less experienced readers. The audience for this book includes researchers in nonlinear dynamics, chaos and statistical physics as well as electrical engineering, and graduate and advanced undergraduate students in these fields