An elementary analysis is developed to determine the stability region of certain classes 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 cases of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.
| Published in |
International Journal of Economic Behavior and Organization (Volume 3, Issue 2-1)
This article belongs to the Special Issue Recent Developments of Economic Theory and Its Applications |
| DOI | 10.11648/j.ijebo.s.2015030201.22 |
| Page(s) | 77-85 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Multiple Delays, Monopoly Model, Multiplier-Accelerator Model, Double-Edged Effect on Stability
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APA Style
Akio Matsumoto, Ferenc Szidarovszky. (2015). Dynamic Economic Systems with Two Time Delays. International Journal of Economic Behavior and Organization, 3(2-1), 77-85. https://doi.org/10.11648/j.ijebo.s.2015030201.22
ACS Style
Akio Matsumoto; Ferenc Szidarovszky. Dynamic Economic Systems with Two Time Delays. Int. J. Econ. Behav. Organ. 2015, 3(2-1), 77-85. doi: 10.11648/j.ijebo.s.2015030201.22
AMA Style
Akio Matsumoto, Ferenc Szidarovszky. Dynamic Economic Systems with Two Time Delays. Int J Econ Behav Organ. 2015;3(2-1):77-85. doi: 10.11648/j.ijebo.s.2015030201.22
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Download@article{10.11648/j.ijebo.s.2015030201.22,
author = {Akio Matsumoto and Ferenc Szidarovszky},
title = {Dynamic Economic Systems with Two Time Delays},
journal = {International Journal of Economic Behavior and Organization},
volume = {3},
number = {2-1},
pages = {77-85},
doi = {10.11648/j.ijebo.s.2015030201.22},
url = {https://doi.org/10.11648/j.ijebo.s.2015030201.22},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijebo.s.2015030201.22},
abstract = {An elementary analysis is developed to determine the stability region of certain classes 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 cases of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.},
year = {2015}
}
TY - JOUR T1 - Dynamic Economic Systems with Two Time Delays AU - Akio Matsumoto AU - Ferenc Szidarovszky Y1 - 2015/04/17 PY - 2015 N1 - https://doi.org/10.11648/j.ijebo.s.2015030201.22 DO - 10.11648/j.ijebo.s.2015030201.22 T2 - International Journal of Economic Behavior and Organization JF - International Journal of Economic Behavior and Organization JO - International Journal of Economic Behavior and Organization SP - 77 EP - 85 PB - Science Publishing Group SN - 2328-7616 UR - https://doi.org/10.11648/j.ijebo.s.2015030201.22 AB - An elementary analysis is developed to determine the stability region of certain classes 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 cases of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles. VL - 3 IS - 2-1 ER -
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