Chaotic period-doubling and OGY control for the forced Duffing equation

AKHMET, MARAT; Fen, M.

doi:10.1016/j.cnsns.2011.09.016

Chaotic period-doubling and OGY control for the forced Duffing equation

Atıf İçin Kopyala

AKHMET M., Fen M. O.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.17, sa.4, ss.1929-1946, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17 Sayı: 4
Basım Tarihi: 2012
Doi Numarası: 10.1016/j.cnsns.2011.09.016
Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1929-1946
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper we consider the Duffing equation forced with a pulse function, whose moments of discontinuity depend on the initial data. Existence of the chaos through period-doubling cascade is proved, and the OGY control method is used to stabilize the periodic solutions. Appropriate simulations of the chaos and stabilized periodic solutions are presented. (C) 2011 Elsevier B.V. All rights reserved.