齐次多项式Kukles微分系统的极限环

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-05-13 DOI:10.1016/j.matcom.2025.04.045

Jaume Giné , Joan Torregrosa

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引用次数: 0

摘要

我们研究了当谐振子被n次齐次多项式摄动时，它的周期轨道能分叉的极限环的数目，这只适用于二阶微分方程，它对应于所谓的Kukles系统。此外，还研究了这类系统的退化Hopf分岔问题。

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Limit cycles of homogeneous polynomial Kukles differential systems

We study the number of limit cycles which can bifurcate from the periodic orbits of the harmonic oscillator when it is perturbed by homogeneous polynomials of degree

n

, only in the second differential equation, which corresponds to the so-called Kukles systems. Moreover, the degenerate Hopf bifurcation is also studied for such systems.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.