Dynamice of Three Unidirectionally Coupled Duffing Oscillators

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Miniatura

Data

2011

Tytuł czasopisma

ISSN czasopisma

Tytuł tomu

Wydawca

Wydawnictwo Politechniki Łódzkiej ; Katedra Dynamiki Maszyn - Wydział Mechaniczny Politechniki Łódzkiej
Lodz University of Technology Press ; Department Division of Dynamics - Faculty of Mechanical Engineering

Abstrakt

This article presents a system of three unidirectionally coupled Duffing oscillators. On the basic of numerical study we show the mechanism of translation from steady state to chaotic and hyperchaotic behavior. Additionally, the impact of parameter changes on the behavior of the system will be presented. Confirmation of our results are bifurcation diagrams, timelines, phase portraits, Poincare maps and largest Lyapunov exponent diagrams.

Opis

Słowa kluczowe

oscillator, bifurcation diagram, phase portrait, Poincare map, oscylator, diagram bifurkacji, portret fazowy, mapa Poincare

Cytowanie

Mechanics and Mechanical Engineering, Vol. 15, No. 2, 2011, s. 125-132