Bifurcation diagram of a cubic three-parameter autonomous system

In this paper, we study the cubic three-parameter autonomous planar system $$displaylines{ dot x_1 = k_1 + k_2x_1 - x_1^3 - x_2,cr dot x_2 = k_3 x_1 - x_2, }$$ where $k_2, k_3$ are greater than 0. Our goal is to obtain a bifurcation diagram; i.e., to divide the parameter space into regions within...

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Bibliographic Details
Main Authors: Lenka Barakova, Evgenii P. Volokitin
Format: Article
Language:English
Published: Texas State University 2005-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/83/abstr.html