Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10677516 | Applied Mathematical Modelling | 2016 | 6 Pages |
Abstract
Memristive circuits with mixed-mode oscillations together with the regular and canonical Chua's circuits and their nonlinear mathematical models of order four are analyzed in this paper. The circuits are linked to Newton's second law uâ²â²âF(t,u,uâ²)/m=0 for all dependent variables with the nonlinear force functions F containing memory terms. The nonlinear memristive element in each circuit is described by y=g(w)x,wâ²=x, where x, y and w are the current, voltage and flux, respectively, in some of the circuits, and the voltage, current and charge, respectively, in others. Because of the link of the circuits to Newton's second law it is possible to interpret the fourth derivatives of the dependent variables in the circuits as the jounce variables - the fourth derivative of the position variable in dynamical mechanical systems.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Wieslaw Marszalek, Tewodros Amdeberhan,