The jump phenomenon associated with the dynamics of the duffing equation

The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system. The occurring discontinuities are treated as a bifurcation induced phenomenon, where the critical values o...

Full description

Bibliographic Details
Main Author:	M.P. Markakis
Format:	Article
Language:	English
Published:	Elsevier 2020-12-01
Series:	Physics Open
Subjects:	34A34 34C15 34C23 70K40
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666032620300296

id	doaj-7db22c3227354efa8456a6714fc957f1
record_format	Article
spelling	doaj-7db22c3227354efa8456a6714fc957f12020-12-25T05:12:19ZengElsevierPhysics Open2666-03262020-12-015100042The jump phenomenon associated with the dynamics of the duffing equationM.P. Markakis0Department of Electrical & Computer Engineering, University of Patras, GR 26504, GreeceThe mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system. The occurring discontinuities are treated as a bifurcation induced phenomenon, where the critical values of the respective control parameter are determined in relation to the solution of a cubic equation. Moreover, graphs illustrating the phenomenon, as well as bifurcation diagrams in the parameter planes of the system are presented. Finally, application of the presented analysis to phenomena of this kind as regards the behavior of living organisms is also discussed.http://www.sciencedirect.com/science/article/pii/S266603262030029634A3434C1534C2370K40
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M.P. Markakis
spellingShingle	M.P. Markakis The jump phenomenon associated with the dynamics of the duffing equation Physics Open 34A34 34C15 34C23 70K40
author_facet	M.P. Markakis
author_sort	M.P. Markakis
title	The jump phenomenon associated with the dynamics of the duffing equation
title_short	The jump phenomenon associated with the dynamics of the duffing equation
title_full	The jump phenomenon associated with the dynamics of the duffing equation
title_fullStr	The jump phenomenon associated with the dynamics of the duffing equation
title_full_unstemmed	The jump phenomenon associated with the dynamics of the duffing equation
title_sort	jump phenomenon associated with the dynamics of the duffing equation
publisher	Elsevier
series	Physics Open
issn	2666-0326
publishDate	2020-12-01
description	The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system. The occurring discontinuities are treated as a bifurcation induced phenomenon, where the critical values of the respective control parameter are determined in relation to the solution of a cubic equation. Moreover, graphs illustrating the phenomenon, as well as bifurcation diagrams in the parameter planes of the system are presented. Finally, application of the presented analysis to phenomena of this kind as regards the behavior of living organisms is also discussed.
topic	34A34 34C15 34C23 70K40
url	http://www.sciencedirect.com/science/article/pii/S2666032620300296
work_keys_str_mv	AT mpmarkakis thejumpphenomenonassociatedwiththedynamicsoftheduffingequation AT mpmarkakis jumpphenomenonassociatedwiththedynamicsoftheduffingequation
_version_	1724370919899529216

The jump phenomenon associated with the dynamics of the duffing equation

Similar Items