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Dynamical Tangles in Third-Order Oscillator with Single Jump Function
Joint Authors
Petržela, Jiří
Gotthans, Tomas
Guzan, Milan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Petržela, Jiří& Gotthans, Tomas& Guzan, Milan. 2014. Dynamical Tangles in Third-Order Oscillator with Single Jump Function. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1048846
Modern Language Association (MLA)
Petržela, Jiří…[et al.]. Dynamical Tangles in Third-Order Oscillator with Single Jump Function. The Scientific World Journal No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1048846
American Medical Association (AMA)
Petržela, Jiří& Gotthans, Tomas& Guzan, Milan. Dynamical Tangles in Third-Order Oscillator with Single Jump Function. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1048846
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048846