Publication detail

On the strategic orbits in third-order oscillator with jump nonlinearity

PETRŽELA, J.

Original Title

On the strategic orbits in third-order oscillator with jump nonlinearity

Type

journal article - other

Language

English

Original Abstract

This paper briefly describes the process of finding the strategic orbit for a given dynamical system with jump-type nonlinearity in order to mathematically prove the existence of chaotic solution in the sense of Shilnikov theorems. For this purpose the standard optimization procedure is utilized. It is shown via numerical integration that both homoclinic and heteroclinic orbits exist.

Keywords

eigenvalues, eigenvectors, invariant manifolds, dynamical systems

Authors

PETRŽELA, J.

RIV year

2009

Released

16. 11. 2009

Publisher

Hikari Ltd.

Location

Bulharsko

ISBN

1312-8868

Periodical

International Journal of Algebra

Year of study

4

Number

4

State

Republic of Bulgaria

Pages from

197

Pages to

207

Pages count

11

BibTex

@article{BUT47284,
  author="Jiří {Petržela}",
  title="On the strategic orbits in third-order oscillator with jump nonlinearity",
  journal="International Journal of Algebra",
  year="2009",
  volume="4",
  number="4",
  pages="197--207",
  issn="1312-8868"
}