Atıf İçin Kopyala
AKHMET M., Fen M. O.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.25, sa.14, 2015 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
25
Sayı:
14
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Basım Tarihi:
2015
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Doi Numarası:
10.1142/s0218127415400246
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Dergi Adı:
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Anahtar Kelimeler:
Li-Yorke chaos, dynamic equations on time scales, proximality, frequent separation, Duffing equation, hybrid systems, DIFFERENTIAL-EQUATIONS, DYNAMICAL SYNTHESIS
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TED Üniversitesi Adresli:
Hayır
Özet
By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li-Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.