Article ID Journal Published Year Pages File Type
785053 International Journal of Non-Linear Mechanics 2010 5 Pages PDF
Abstract

This paper deals with classification and dynamical behaviors of stably dissipative Lotka–Volterra (LV) systems. The sufficient and necessary conditions for a matrix being stably dissipative are discussed firstly. Then, a graph-theoretic classification method for stably dissipative matrices is proposed, based on which, for all five-order stably dissipative matrices, the associated graphs are classified completely as 27 topologically different graphs and for each graph the dynamics of the corresponding LV system is discussed. Finally, the effects of removing some links from the above graphs on the dynamics of the corresponding LV systems are discussed.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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