Detail publikace

Dynamické chatické trajektorie v systému třetího řádu se skokovou funkcí

PETRŽELA, J. GÖTTHANS, T. GUZAN, M.

Originální název

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

Český název

Dynamické chatické trajektorie v systému třetího řádu se skokovou funkcí

Anglický název

Dynamical Tangles in Third-Order Oscillator with Single Jump Function

Typ

článek v časopise

Jazyk

en

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.

Český abstrakt

Tento příspěvek přináší podrobnou studii dynamického chování spojené s nelineárním oscilátorem popsaným systémem třetího řádu se skokovou skalární nelinearitou.

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.

Rok RIV

2014

Vydáno

18.09.2014

Nakladatel

Hindawi

Strany od

1

Strany do

15

Strany počet

15

URL

Plný text v Digitální knihovně

BibTex


@article{BUT109600,
  author="Tomáš {Götthans} and Jiří {Petržela} and Milan {Guzan}",
  title="Dynamical Tangles in Third-Order Oscillator with Single Jump Function",
  annote="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.",
  address="Hindawi",
  chapter="109600",
  doi="10.1155/2014/239407",
  howpublished="online",
  institution="Hindawi",
  number="4",
  volume="2014",
  year="2014",
  month="september",
  pages="1--15",
  publisher="Hindawi",
  type="journal article"
}