About: Dynamical Tangles in Third-Order Oscillator with Single Jump Function

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.hindawi.com/journals/tswj/raa/239407/
Description	This contribution brings a deep and detailed study of the dynamical behavior associated with nonlinear oscillator described by a single third-order differential equation with scalar jump nonlinearity. The relative primitive geometry of the vector field allows making an exhaustive numerical analysis of its possible solutions, visualizations of the invariant manifolds and basins of attraction as well as proving the existence of chaotic motion by using the concept of both Shilnikov theorems. The aim of this paper is also to complete, carry out and link the previous works on simple Newtonian dynamics and answer the question how individual types of the phenomenon evolve with time via understandable notes. This contribution brings a deep and detailed study of the dynamical behavior associated with nonlinear oscillator described by a single third-order differential equation with scalar jump nonlinearity. The relative primitive geometry of the vector field allows making an exhaustive numerical analysis of its possible solutions, visualizations of the invariant manifolds and basins of attraction as well as proving the existence of chaotic motion by using the concept of both Shilnikov theorems. The aim of this paper is also to complete, carry out and link the previous works on simple Newtonian dynamics and answer the question how individual types of the phenomenon evolve with time via understandable notes. (en)
Title	Dynamical Tangles in Third-Order Oscillator with Single Jump Function Dynamical Tangles in Third-Order Oscillator with Single Jump Function (en)
skos:prefLabel	Dynamical Tangles in Third-Order Oscillator with Single Jump Function Dynamical Tangles in Third-Order Oscillator with Single Jump Function (en)
skos:notation	RIV/00216305:26220/14:PU110574!RIV15-MSM-26220___
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(ED2.1.00/03.0072), S
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Petržela, Jiří Götthans, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta elektrotechniky a komunikačních technologií
http://linked.open...dnocenehoVysledku	12699
http://linked.open...ai/riv/idVysledku	RIV/00216305:26220/14:PU110574
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	basins of attraction, dynamical system, eigenspaces, invariant manifolds, strategic orbits (en)
http://linked.open.../riv/klicoveSlovo	basins of attraction eigenspaces invariant manifolds strategic orbits dynamical system
http://linked.open...odStatuVydavatele	EG - Egyptská arabská republika
http://linked.open...ontrolniKodProRIV	[1541980C0749]
http://linked.open...i/riv/nazevZdroje	The Scientific World Journal
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Centre of sensor, information and communication systems
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	2014
http://linked.open...iv/tvurceVysledku	Götthans, Tomáš Petržela, Jiří Guzan, Milan
issn	1537-744X
number of pages	15 (xsd:int)
http://localhost/t...ganizacniJednotka	26220

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