One More Thing on the Subject: Generating Chaos via <i>x</i>|<i>x</i>|<sup><i>a</i>−1</sup>, 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
Main Authors: Nikolay Kyurkchiev, Anton Iliev, Vesselin Kyurkchiev, Asen Rahnev
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/2/232
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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