Publication detail

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

PETRŽELA, J. GÖTTHANS, T. GUZAN, M.

Original Title

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

Type

journal article in Scopus

Language

English

Original Abstract

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.

Keywords

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

Authors

PETRŽELA, J.; GÖTTHANS, T.; GUZAN, M.

RIV year

2014

Released

18. 9. 2014

Publisher

Hindawi

ISBN

1537-744X

Periodical

The Scientific World Journal

Year of study

2014

Number

4

State

United States of America

Pages from

1

Pages to

15

Pages count

15

URL

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

Full text in the Digital Library

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"
}