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Mathematical Problems in Engineering
Volume 2017, Article ID 2490580, 13 pages
Research Article

Hopf Bifurcation, Positively Invariant Set, and Physical Realization of a New Four-Dimensional Hyperchaotic Financial System

1Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
2School of Mathematics and Statistics, Inner Mongolia University of Financial and Economics, Hohhot 100124, China
3School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
4Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University, 54187 Sakarya, Turkey

Correspondence should be addressed to W. Zhang; moc.oohay@0gnahzydnas

Received 16 December 2016; Revised 10 February 2017; Accepted 9 March 2017; Published 10 April 2017

Academic Editor: Ahmad Taher Azar

Copyright © 2017 G. Kai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Karthikeyan Rajagopal, Akif Akgul, Sajad Jafari, and Burak Aricioglu, “A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications,” Nonlinear Dynamics, 2017. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Akif Akgul, Sajad Jafari, Anitha Karthikeyan, and Ismail Koyuncu, “Chaotic chameleon: Dynamic analyses, circuit implementation, FPGA design and fractional-order form with basic analyses,” Chaos, Solitons & Fractals, vol. 103, pp. 476–487, 2017. View at Publisher · View at Google Scholar
  • Wojciech Szumiński, “Integrability analysis of chaotic and hyperchaotic finance systems,” Nonlinear Dynamics, 2018. View at Publisher · View at Google Scholar