2D bifurcations and Newtonian properties of memristive Chua's circuits
1 DeVry University - 630 US Highway 1, North Brunswick, NJ 08902, USA
2 Martin-Luther-Universität - Theodor-Lieser-Str. 5, 06120 Halle (Saale), Germany
Received: 15 September 2015
Accepted: 7 January 2016
Two interesting properties of Chua's circuits are presented. First, two-parameter bifurcation diagrams of Chua's oscillatory circuits with memristors are presented. To obtain various 2D bifurcation images a substantial numerical effort, possibly with parallel computations, is needed. The numerical algorithm is described first and its numerical code for 2D bifurcation image creation is available for free downloading. Several color 2D images and the corresponding 1D greyscale bifurcation diagrams are included. Secondly, Chua's circuits are linked to Newton's law with , constant m > 0, and the force term containing memory terms. Finally, the jounce scalar equations for Chua's circuits are also discussed.
PACS: 02.30.Oz – Bifurcation theory / 05.45.-a – Nonlinear dynamics and chaos / 84.30.-r – Electronic circuits
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