Study of two-memcapacitor circuit model with semi-explicit ODE solver

Proceedings of the XXth Conference of Open Innovations Association FRUCT

Valerii Y. Ostrovskii¹  Dmitriy A. Belkin¹  Denis N. Butusov¹  Artur I. Karimov¹ 

[1] Saint Petersburg Electrotechnical University "LETI", Saint Petersburg, Russia;

关键词: software for bifurcation analysis;    dynamical chaos;    nonlinear dynamics;    memcapacitor circuit;    numerical integration tools;    memristive systems;   

DOI  :  10.23919/FRUCT.2017.8250166

来源: DOAJ

【 摘 要 】

This article discusses software tools for studying non-linear dynamical systems. For a detailed analysis of the behavior of chaotic systems stepsize-parameter diagrams are introduced. A new self-adjoint semi-explicit algorithm for the numerical integration of differential equations is described. Two modifications of the proposed method are represented. A two-memcapacitor circuit is selected as a test dynamical system. Symmetry, accuracy and performance analysis of semi-explicit extrapolation ODE solver are considered in a series of computational experiments. Phase space of the two-memcapacitor circuit model, stepsize-parameter diagrams and dynamical maps are given as experimental findings.

【 授权许可】

Unknown