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Regular and chaotic dynamics in nonlinear systems of ordinary differential equations of Weidlich-Trubetskov type

Regular and chaotic dynamics in nonlinear systems of ordinary differential equations of... ISSN 0012-2661, Differential Equations, 2007, Vol. 43, No. 12, pp. 1660–1667.  c Pleiades Publishing, Ltd., 2007. Original Russian Text  c Yu.N. Magnitskii, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 12, pp. 1618–1625. ORDINARY DIFFERENTIAL EQUATIONS Regular and Chaotic Dynamics in Nonlinear Systems of Ordinary Differential Equations of Weidlich–Trubetskov Type Yu. N. Magnitskii Institute for System Analysis, Russian Academy of Sciences, Moscow, Russia Received July 4, 2007 DOI: 10.1134/S0012266107120051 1. INTRODUCTION Weidlich’s approach to the mathematical modeling of a wide class of various economic and social phenomena is to describe these phenomena in terms of two interacting macrovariables x and y that can have cooperative or antagonistic influence on each other. Following [1, 2], we say that the variable x is cooperative with respect to the variable y if x tends to increase y if x itself is large and decrease y if x is small. But if the variable x suppresses the variable y if x itself is large and strengthens y for small x, then the variable x is said to be antagonistic with respect to the variable y. Moreover, it is assumed in Weidlich’s models that the variables x and y are self-saturating; http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Regular and chaotic dynamics in nonlinear systems of ordinary differential equations of Weidlich-Trubetskov type

Magnitskii, Yu.
Differential Equations , Volume 43 (12) – Mar 25, 2007
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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266107120051
Publisher site
See Article on Publisher Site

Abstract

ISSN 0012-2661, Differential Equations, 2007, Vol. 43, No. 12, pp. 1660–1667.  c Pleiades Publishing, Ltd., 2007. Original Russian Text  c Yu.N. Magnitskii, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 12, pp. 1618–1625. ORDINARY DIFFERENTIAL EQUATIONS Regular and Chaotic Dynamics in Nonlinear Systems of Ordinary Differential Equations of Weidlich–Trubetskov Type Yu. N. Magnitskii Institute for System Analysis, Russian Academy of Sciences, Moscow, Russia Received July 4, 2007 DOI: 10.1134/S0012266107120051 1. INTRODUCTION Weidlich’s approach to the mathematical modeling of a wide class of various economic and social phenomena is to describe these phenomena in terms of two interacting macrovariables x and y that can have cooperative or antagonistic influence on each other. Following [1, 2], we say that the variable x is cooperative with respect to the variable y if x tends to increase y if x itself is large and decrease y if x is small. But if the variable x suppresses the variable y if x itself is large and strengthens y for small x, then the variable x is said to be antagonistic with respect to the variable y. Moreover, it is assumed in Weidlich’s models that the variables x and y are self-saturating;

Journal

Differential Equations – Springer Journals

Published: Mar 25, 2007

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