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Statements

Subject Item
n2:RIV%2F00216305%3A26220%2F14%3APU110574%21RIV15-MSM-26220___
rdf:type
n16:Vysledek skos:Concept
rdfs:seeAlso
http://www.hindawi.com/journals/tswj/raa/239407/
dcterms: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.
dcterms:title
Dynamical Tangles in Third-Order Oscillator with Single Jump Function Dynamical Tangles in Third-Order Oscillator with Single Jump Function
skos:prefLabel
Dynamical Tangles in Third-Order Oscillator with Single Jump Function Dynamical Tangles in Third-Order Oscillator with Single Jump Function
skos:notation
RIV/00216305:26220/14:PU110574!RIV15-MSM-26220___
n3:aktivita
n19:S n19:P
n3:aktivity
P(ED2.1.00/03.0072), S
n3:cisloPeriodika
4
n3:dodaniDat
n11:2015
n3:domaciTvurceVysledku
n17:7394489 n17:2307545
n3:druhVysledku
n5:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
12699
n3:idVysledku
RIV/00216305:26220/14:PU110574
n3:jazykVysledku
n7:eng
n3:klicovaSlova
basins of attraction, dynamical system, eigenspaces, invariant manifolds, strategic orbits
n3:klicoveSlovo
n6:dynamical%20system n6:basins%20of%20attraction n6:eigenspaces n6:invariant%20manifolds n6:strategic%20orbits
n3:kodStatuVydavatele
EG - Egyptská arabská republika
n3:kontrolniKodProRIV
[1541980C0749]
n3:nazevZdroje
The Scientific World Journal
n3:obor
n9:JA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
3
n3:projekt
n12:ED2.1.00%2F03.0072
n3:rokUplatneniVysledku
n11:2014
n3:svazekPeriodika
2014
n3:tvurceVysledku
Guzan, Milan Götthans, Tomáš Petržela, Jiří
s:issn
1537-744X
s:numberOfPages
15
n8:organizacniJednotka
26220