Detail publikačního výsledku

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

PETRŽELA, J.; GÖTTHANS, T.; GUZAN, M.

Originální název

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

Anglický název

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

Druh

Článek Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

basins of attraction; dynamical system; eigenspaces; invariant manifolds; strategic orbits

Klíčová slova v angličtině

basins of attraction; dynamical system; eigenspaces; invariant manifolds; strategic orbits

Autoři

PETRŽELA, J.; GÖTTHANS, T.; GUZAN, M.

Rok RIV

2015

Vydáno

18.09.2014

Nakladatel

Hindawi

ISSN

1537-744X

Periodikum

The Scientific World Journal

Svazek

2014

Číslo

4

Stát

Spojené státy americké

Strany od

1

Strany do

15

Strany počet

15

URL

http://dx.doi.org/10.1155/2014/239407

Plný text v Digitální knihovně

http://hdl.handle.net/11012/36014

BibTex

@article{BUT109600,
  author="Tomáš {Götthans} and Jiří {Petržela} and Milan {Guzan}",
  title="Dynamical Tangles in Third-Order Oscillator with Single Jump Function",
  journal="The Scientific World Journal",
  year="2014",
  volume="2014",
  number="4",
  pages="1--15",
  doi="10.1155/2014/239407",
  issn="1537-744X",
  url="http://dx.doi.org/10.1155/2014/239407"
}

Dokumenty

hindawi
239407