Specific Foundation / Core

The purpose of the course is for the students: 1) to get familiarized with the use of electrical measurement instruments . 2) to acquire experience on experimentally constructing electrical circuits and monitoring their function by taking measurements 3) to acquire knowledge on circuit analysis methods and theorems and applying this knowledge in practice 4) to practice their skills in written presentation and discussing experimental results

Nonlinear Circuit Elements. The nonlinear resistor (series and parallel connections, concave and convex resistors, dc operating points, small signal analysis). Nonlinear capacitors and inductors. Operational-amplifier circuits. Device description, characteristics and model. OP-AMP circuits operating in the linear region. OP-AMP circuits operating in the nonlinear region. First-order circuits. Circuits driven by dc sources, circuits driven by piecewise-constant signals, the dynamic route, jump phenomenon and relaxation oscillation). Second-order circuits. Tunnel diode and Josephson junction circuits, equilibrium states and operating points. Nonlinear oscillation. Basic negative-resistance oscillator, physical mechanisms for oscillation, phase portrait of typical oscillators. Van der Pol oscillator, Duffing oscillator, Duffing-Ueda oscillator. Introduction to nonlinear dynamics. Poincaré maps, bifurcation diagrams, Lyapunov exponents. From periodicity to chaos. Routes to chaos (period-doubling, collapse of tori, intermittency). Antimonotonicity. Crises of chaotic attractors. Chaotic dynamics of the R-L-varactor diode circuit. Chaotic dynamics of Chua’s circuit family. Memristors (from periodicity to chaos)

Chaos, Antimonotonicity, phaseportrait, Poincare, Memristor,

29-06-2016