Dynamical Tangles in Third-Order Oscillator with Single Jump Function
Loading...
Files
Date
2014-09-18
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Altmetrics
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.
Tento příspěvek přináší podrobnou studii dynamického chování spojené s nelineárním oscilátorem popsaným systémem třetího řádu se skokovou skalární nelinearitou.
Tento příspěvek přináší podrobnou studii dynamického chování spojené s nelineárním oscilátorem popsaným systémem třetího řádu se skokovou skalární nelinearitou.
Description
Citation
The Scientific World Journal. 2014, vol. 2014, issue 4, p. 1-15.
http://dx.doi.org/10.1155/2014/239407
http://dx.doi.org/10.1155/2014/239407
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en