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

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

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...

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Bibliographic Details
Main Authors: Denis N. Butusov, Valerii Y. Ostrovskii, Artur I. Karimov, Dmitriy A. Belkin
Format: Article
Language:English
Published: FRUCT 2017-11-01
Series:Proceedings of the XXth Conference of Open Innovations Association FRUCT
Subjects:
software for bifurcation analysis
dynamical chaos
nonlinear dynamics
memcapacitor circuit
numerical integration tools
memristive systems
Online Access:https://fruct.org/publications/fruct21/files/But.pdf
Description
Summary: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.
ISSN:2305-7254
2343-0737

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