An elementary study of a class of dynamic systems with two time delays
-
Akio Matsumoto
akiom@tamacc.chuo-u.ac.jp
-
Ferenc Szidarovszky
szidar@sie.arizona.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000300007Abstract
An elementary analysis is developed to determine the stability region of a certain class of ordinary differential equations with two delays. Our analysis is based on determining stability switches first where an eigenvalue is pure complex, and then checking the conditions for stability loss or stability gain. In the case of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.
Keywords
Most read articles by the same author(s)
- Akio Matsumoto, Ferenc Szidarovszky, An Elementary Study of a Class of Dynamic Systems with Single Time Delay , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Ferenc Szidarovszky, Vernon L. Smith, Steven Rassenti, Cournot Models: Dynamics, Uncertainty and Learning , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Ferenc Szidarovszky, Jijun Zhao, The Dynamic Evolution of Industrial Clusters , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, A Multiobjective Model of Oligopolies under Uncertainty , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Tamar Kugler, Ferenc Szidarovszky, An Inter-Group Conflict and its Relation to Oligopoly Theory , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Jerome Yen, Ferenc Szidarovszky, Dynamic Negotiations , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
Similar Articles
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Akio Matsumoto, Ferenc Szidarovszky, An Elementary Study of a Class of Dynamic Systems with Single Time Delay , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Moussa Barro, Aboudramane Guiro, Dramane Ouedraogo, Optimal control of a SIR epidemic model with general incidence function and a time delays , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Paolo Piccione, Daniel V. Tausk, Topological Methods for ODE's: Symplectic Differential Systems , CUBO, A Mathematical Journal: Vol. 5 No. 1 (2003): CUBO, Matemática Educacional
- Fred Brackx, Hennie De Schepper, Frank Sommen, Liesbet Van de Voorde, Discrete Clifford analysis: an overview , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Ferenc Szidarovszky, Jijun Zhao, The Dynamic Evolution of Industrial Clusters , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Laszlo Kapolyi, Ferenc Szidarovszki, Control of Dynamic Oligopsonies with Production factors , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Ferenc Szidarovszky, Vernon L. Smith, Steven Rassenti, Cournot Models: Dynamics, Uncertainty and Learning , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- S. Minkevicius, About cumulative idle time model of the message switching system , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2012-10-01
How to Cite
[1]
A. Matsumoto and F. Szidarovszky, “An elementary study of a class of dynamic systems with two time delays”, CUBO, vol. 14, no. 3, pp. 103–113, Oct. 2012.
Issue
Section
Articles
