https://doi.org/10.1140/epjst/e2015-02476-9
Regular Article
Hidden attractors in a chaotic system with an exponential nonlinear term
1 School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
2 Research and Development Centre, Vel Tech University, Avadi, Chennai-600062, Tamil Nadu, India
3 Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
4 Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
a e-mail: pvt3010@gmail.com
Received: 1 March 2015
Revised: 20 May 2015
Published online: 27 July 2015
Studying systems with hidden attractors is new attractive research direction because of its practical and threoretical importance. A novel system with an exponential nonlinear term, which can exhibit hidden attractors, is proposed in this work. Although new system possesses no equilibrium points, it displays rich dynamical behaviors, like chaos. By calculating Lyapunov exponents and bifurcation diagram, the dynamical behaviors of such system are discovered. Moreover, two important features of a chaotic system, the possibility of synchronization and the feasibility of the theoretical model, are also presented by introducing an adaptive synchronization scheme and designing a digital hardware platform–based emulator.
© EDP Sciences, Springer-Verlag, 2015
