2022
DOI: 10.17993/3ctecno.2022.v11n2e42.25-36
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Limit cycles of perturbed global isochronous center

Abstract: We apply the averaging method of first order to study the maximum number of limit cycles of the ordinary differential systems of the form ¨x + x = ε (f1(x, y)y + f2 (x, y)) , ¨y + y = ε (g1(x, y)x + g2 (x, y)) , where f1(x, y) and g1(x, y) are real cubic polynomials; f2(x, y) and g2(x, y) are real quadratic polynomials. Furthermore ε is a small parameter.

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Cited by 2 publications
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“…The study of computer ethics has become a hot topic in contemporary ethics research and has attracted widespread international attention [13,18]. Computer ethics is a branch of applied ethics that addresses the ethical and moral issues arising from the development and application of high-tech computer systems, as well as the production, storage, exchange, and dissemination of information [1,11,16,19,28]. The field focuses on the behavior of computers, which perform specific activities such as memory, arithmetic, judgment, reading, simulation, drawing, and translation.…”
Section: Introductionmentioning
confidence: 99%
“…The study of computer ethics has become a hot topic in contemporary ethics research and has attracted widespread international attention [13,18]. Computer ethics is a branch of applied ethics that addresses the ethical and moral issues arising from the development and application of high-tech computer systems, as well as the production, storage, exchange, and dissemination of information [1,11,16,19,28]. The field focuses on the behavior of computers, which perform specific activities such as memory, arithmetic, judgment, reading, simulation, drawing, and translation.…”
Section: Introductionmentioning
confidence: 99%