POINCARE CHAOS FOR A HYPERBOLIC QUASILINEAR SYSTEM

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AKHMET M., Fen M. O., Tleubergenova M., Zhamanshin A.

MISKOLC MATHEMATICAL NOTES, cilt.20, sa.1, ss.33-44, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18514/mmn.2019.2826
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.33-44
  • Anahtar Kelimeler: hyperbolic quasilinear systems, Poincare chaos, unpredictable solutions
  • TED Üniversitesi Adresli: Evet

Özet

The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction mapping principle to prove the existence of unpredictable motions. Appropriate examples with simulations that support the theoretical results are provided.