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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 5

Unpredictable solutions of linear differential and discrete equations

Marat AKHMET
Mehmet Onur FEN
Madina TLEUBERGENOVA
Akylbek ZHAMANSHIN
Pages
2377–2389
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Simulations illustrating the chaos are provided.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systemsof differential and discrete equations are investigated.
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Key Findings & Data:The hyperbolic cases are under discussion.
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Conclusion & Impact:Simulations illustrating the chaos are provided.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systemsof differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence ofunpredictable solutions confirms the existence of Poincaré chaos. Simulations illustrating the chaos are provided.

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Cite This Article

AKHMET, M., FEN, M. O., TLEUBERGENOVA, M., ZHAMANSHIN, A. (2022). Unpredictable solutions of linear differential and discrete equations. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2377–2389. https://ajindex.com/articles/608055

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