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

Unpredictable solutions of linear differential and discrete equations

Sayfa
2377–2389
Yayın Tarihi
2022-11-04
DOI
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Simulations illustrating the chaos are provided.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systemsof differential and discrete equations are investigated.
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Temel Bulgular & Veri:The hyperbolic cases are under discussion.
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Sonuç & Katkı:Simulations illustrating the chaos are provided.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (8)

  1. Akhmet M, Fen MO. Poincaré chaos and unpredictable functions. Communications in Nonlinear Science and Numerical Simulation 2017; 48: 85-94
  2. Akhmet M, Fen MO. Non-autonomous equations with unpredictable solutions. Communications in Nonlinear Science and Numerical Simulation 2018; 59: 657-670
  3. Bener PR. Recurrent solutions to systems of ordinary differential equations. Journal of Differential Equations 1969; 5: 271-282
  4. Hale J, Koçak H. Dynamics and Bifurcations. New York, NY, USA: Springer-Verlag 1991
  5. Hale JK. Ordinary Differential Equations. Malabar, FL, USA: Krieger Publishing Company, 1990
  6. Lakshmikantham V, Trigiante D. Theory of Difference Equations: Numerical Methods and Applications. New York, NY, USA: Marcel Dekker, 2002
  7. Nemytskii VV, Stepanov VV. Qualitative Theory of Differential Equations. Princeton, NJ, USA: Princeton University Press, 1960. 8] Sell GR. Topological Dynamics and Ordinary Differential Equations. London, UK: Van Nostrand Reinhold Company, 1971
  8. Shi Y, Yu P. On chaos of the logistic maps. Dynamics of Continuous, Discrete and Impulsive Systems Series-B 2007; 14: 175–95.