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Chaos : Winnerless competition principle and prediction of the transient dynamics in a Lotka…Volterra model

By Valentin Afraimovich, Irma Tristan, Ramon Huerta, and Mikhail I. Rabinovich

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Book Id: WPLBN0002169285
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 8 October 2008

Title: Chaos : Winnerless competition principle and prediction of the transient dynamics in a Lotka…Volterra model  
Author: Valentin Afraimovich, Irma Tristan, Ramon Huerta, and Mikhail I. Rabinovich
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Chaos Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Irma Tristan, Ramon Huerta, And Mikhail I. Rabinovic, V. A. (n.d.). Chaos : Winnerless competition principle and prediction of the transient dynamics in a Lotka…Volterra model. Retrieved from http://hawaiilibrary.net/


Description
Description: Predicting the evolution of multispecies ecological systems is an intriguing problem. A sufficiently complex model with the necessary predicting power requires solutions that are structurally stable. Small variations of the system parameters should not qualitatively perturb its solutions. When one is interested in just asymptotic results of evolution (as time goes to infinity), then the problem has a straightforward mathematical image involving simple attractors (fixed points or limit cycles) of a dynamical system. However, for an accurate prediction of evolution, the analysis of transient solutions is critical. In this paper, in the framework of the traditional Lotka–Volterra model (generalized in some sense), we show that the transient solution representing multispecies sequential competition can be reproducible and predictable with high probability.

 

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