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Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System

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Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System

Content Provider	SpringerLink
Author	Kuznetsov, N. V. Kuznetsova, O. A. Leonov, G. A.
Copyright Year	2012
Abstract	This paper is devoted to analytical and numerical investigation of limit cycles in two-dimensional polynomial quadratic systems. The appearance of modern computers permits one to use a numerical simulation of complicated nonlinear dynamical systems and to obtain new information on a structure of their trajectories. However the possibilities of naive approach, based on the construction of trajectories by numerical integration of the considered differential equations, turns out to be very limited. In the paper the effective analytical-numerical methods for investigation of limit cycles in two-dimensional polynomial quadratic system are discussed. Estimations of domains of parameters, corresponding to existence of different configurations of large limit cycles, are obtained and visualization of four large limit cycles in quadratic system is presented.
Starting Page	29
Ending Page	34
Page Count	6
File Format	PDF
ISSN	09713514
Journal	Differential Equations and Dynamical Systems
Volume Number	21
Issue Number	1-2
e-ISSN	09746870
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-06-12
Publisher Place	India
Access Restriction	Subscribed
Subject Keyword	Quadratic system Limit cycle Visualization 16th Hilbert problem Mathematics Engineering Computer Science
Content Type	Text
Resource Type	Article
Subject	Analysis Applied Mathematics

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