An Elementary Study of a Class of Dynamic Systems with Single Time Delay
-
Akio Matsumoto
akiom@tamacc.chuo-u.ac.jp
-
Ferenc Szidarovszky
szidarka@gmail.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462013000300001Abstract
A complete eigenvalue analysis is given for a certain class of dynamic systems with a single delay. The stability region is determined and it is demonstrated that there is only one stability switch. Special cases from economics, biology and engineering illustrate the importance of such models.
Keywords
Most read articles by the same author(s)
- Akio Matsumoto, Ferenc Szidarovszky, An elementary study of a class of dynamic systems with two time delays , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): 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, Vernon L. Smith, Steven Rassenti, Cournot Models: Dynamics, Uncertainty and Learning , 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
- Derek Hacon, Jordan normal form via ODE's , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Shing So, Recent Developments in Taxicab Geometry , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Gastón E. Hernández, Behavior of multiple solutions for systems of semilinear elliptic equations , CUBO, A Mathematical Journal: No. 11 (1995): CUBO, Revista de Matemática
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Jairo Bochi, The basic ergodic theorems, yet again , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Youssef N. Raffoul, Ernest Yankson, Positive periodic solutions of functional discrete systems with a parameter , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Rodrigue Sanou, Idrissa Ibrango, Blaise Koné, Aboudramane Guiro, Weak solutions to Neumann discrete nonlinear system of Kirchhoff type , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Franco Fagnola, Damiano Poletti, Emanuela Sasso, Energy transfer in open quantum systems weakly coupled with two reservoirs , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
<< < 7 8 9 10 11 12 13 14 15 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2013-10-01
How to Cite
[1]
A. Matsumoto and F. Szidarovszky, “An Elementary Study of a Class of Dynamic Systems with Single Time Delay”, CUBO, vol. 15, no. 3, pp. 01–07, Oct. 2013.
Issue
Section
Articles
