ITM Web Conf.
Volume 49, 2022International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
|Number of page(s)||6|
|Section||Differential Equations, Dynamical Systems, Algebra, And Geometry|
|Published online||16 November 2022|
3D Quadratic ODE systems with an infinite number of limit cycles
Yanka Kupala State University of Grodno, Belarus
2 University of Craiova, Romania
We consider an autonomous three-dimensional quadratic ODE system with nine parameters, which is a generalization of the Langford system. We derive conditions under which this system has infinitely many limit cycles. First, we study the equilibrium points of such systems and their eigenvalues. Next, we prove the non-local existence of an infinite set of limit cycles emerging by means of Andronov – Hopf bifurcation.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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