1. Hard and soft excitation of oscillations in memristor-based oscillators with a line of equilibria
- Author
-
Ivan A. Korneev, Vladimir V. Semenov, and Tatiana E. Vadivasova
- Subjects
FOS: Physical sciences ,Aerospace Engineering ,Ocean Engineering ,02 engineering and technology ,Memristor ,01 natural sciences ,Instability ,010305 fluids & plasmas ,law.invention ,law ,0103 physical sciences ,Statistical physics ,Electrical and Electronic Engineering ,Bifurcation ,Physics ,Equilibrium point ,Oscillation ,Applied Mathematics ,Mechanical Engineering ,021001 nanoscience & nanotechnology ,Nonlinear Sciences - Adaptation and Self-Organizing Systems ,Nonlinear system ,Control and Systems Engineering ,0210 nano-technology ,Adaptation and Self-Organizing Systems (nlin.AO) ,Realization (systems) ,Excitation - Abstract
A model of memristor-based Chuas oscillator is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria. Bifurcational mechanisms of oscillation excitation are explored for different forms of nonlinearity. Hard and soft excitation scenarios have principally different nature. The hard excitation is determined by the memristor piecewise-smooth characteristic and is a result of a border-collision bifurcation. The soft excitation is caused by addition of a smooth nonlinear function and has distinctive features of the supercritical Andronov-Hopf bifurcation. Mechanisms of instability and amplitude limitation are described for both two cases. Numerical modelling and theoretical analysis are combined with experiments on an electronic analog model of the system under study. The issues concerning physical realization of the dynamics of systems with a line of equilibria are considered. The question on whether oscillations in such systems can be classified as the self-sustained oscillations is raised., 14 pages, 5 figures
- Published
- 2017