One More Thing on the Subject: Generating Chaos via x|x|[sup.a−1], Melnikov’s Approach Using Simulations

In this article, we propose a new hypothetical differential model with many free parameters, which makes it attractive to users. The motivation is as follows: an extended model is proposed that allows us to investigate classical and newer models appearing in the literature at a “higher energy level”...

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Bibliographic Details
Published inMathematics (Basel) Vol. 13; no. 2
Main Authors Kyurkchiev, Nikolay, Iliev, Anton, Kyurkchiev, Vesselin, Rahnev, Asen
Format Journal Article
LanguageEnglish
Published MDPI AG 01.01.2025
Subjects
Antennas (Electronics)
Simulation methods
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Summary:In this article, we propose a new hypothetical differential model with many free parameters, which makes it attractive to users. The motivation is as follows: an extended model is proposed that allows us to investigate classical and newer models appearing in the literature at a “higher energy level”, as well as the generation of high–order Melnikov polynomials (corresponding to the proposed extended model) with possible applications in the field of antenna feeder technology. We present a few specific modules for examining these oscillators’ behavior. A much broader Web-based application for scientific computing will incorporate this as a key component.
ISSN:2227-7390
2227-7390
DOI:10.3390/math13020232