Time-delay effects on dynamics of a two-actor conflict model |
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Authors: | A Rojas-Pacheco B Obregón-Quintana LS Liebovitch L Guzmán-Vargas |
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Institution: | 1. Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. IPN No. 2580, L. Ticomán, México D.F. 07340, Mexico;2. Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D. F., Mexico;3. Department of Physics, Queens College, City University of New York. 65-30 Kissena Boulevard, Remsen Hall 125, Flushing, NY 11367, USA |
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Abstract: | We present a study of time-delay effects on a two-actor conflict model based on nonlinear differential equations. The state of each actor depends on its own state in isolation, its previous state, its inertia to change, the positive or negative feedback and a time delay in the state of the other actor. We use both theoretical and numerical approaches to characterize the evolution of the system for several values of time delays. We find that, under particular conditions, a time delay leads to the appearance of oscillations in the states of the actors. Besides, phase portraits for the trajectories are presented to illustrate the evolution of the system for different time delays. Finally, we discuss our results in the context of social conflict models. |
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Keywords: | Social conflicts Local stability Time delays Differential systems Conflicts Two actors Differential equations |
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