Atıf İçin Kopyala
AKHMET M., Fen M. O., Tleubergenova M., Zhamanshin A.
MISKOLC MATHEMATICAL NOTES, cilt.20, sa.1, ss.33-44, 2019 (SCI-Expanded)
-
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
-
Orta Doğu Teknik 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.