Analogue  Electrical  Circuit  for  Simulation  of  the  Duffing-Holmes  Equation

E. Tamaseviciute; A. Tamasevicius; G. Mykolaitis; S. Bumeliene; Erik Lindberg

Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation

E. Tamaseviciute, A. Tamasevicius, G. Mykolaitis, S. Bumeliene, Erik Lindberg

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Abstract

An extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator is described. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, phase portraits (Lissajous figures) and stroboscopic maps (Poincare sections).

Original language	English
Journal	Nonlinear Analysis: Modelling and Control
Volume	13
Issue number	2
Pages (from-to)	241-252
ISSN	1392-5113
Publication status	Published - 2008

Keywords

chaos
electrical circuits
nonlinear dynamics

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2008-tamaseviciute-1203162727640-1Final published version, 5.92 MB

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Cite this

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title = "Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation",

abstract = "An extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator is described. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, phase portraits (Lissajous figures) and stroboscopic maps (Poincare sections).",

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T1 - Analogue Electrical Circuit for Simulation of the Duffing-Holmes Equation

AU - Tamaseviciute, E.

AU - Tamasevicius, A.

AU - Mykolaitis, G.

AU - Bumeliene, S.

AU - Lindberg, Erik

PY - 2008

Y1 - 2008

N2 - An extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator is described. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, phase portraits (Lissajous figures) and stroboscopic maps (Poincare sections).

AB - An extremely simple second order analogue electrical circuit for simulating the two-well Duffing-Holmes mathematical oscillator is described. Numerical results and analogue electrical simulations are illustrated with the snapshots of chaotic waveforms, phase portraits (Lissajous figures) and stroboscopic maps (Poincare sections).

KW - chaos

KW - electrical circuits

KW - nonlinear dynamics

M3 - Journal article

SN - 1392-5113

VL - 13

SP - 241

EP - 252

JO - Nonlinear Analysis: Modelling and Control

JF - Nonlinear Analysis: Modelling and Control

IS - 2

ER -