... received July 30, 2018; published online August 27, 2018. Assoc. Editor: Katrin Ellermann. 07 04 2018 30 07 2018 Chaotic dynamics Control Design optimization Parameter estimation System identification Stability of nonlinear systems Design sensitivity Nonlinear systems...

... Bifurcations Chaotic dynamics Control Nonlinear dynamical systems Stability of nonlinear systems Networks synchronization has attracted a lot of attention in last years and one of the main reasons is that networks are everywhere, especially in nature, e.g., see Refs. [ 1 – 5 ]. On the other hand...

... 2018 Chaotic dynamics Control Fractional calculus Stability of nonlinear systems Fractional calculus shares the same history as integer calculus, but it is not until recent decades that applications of fractional calculus have been explored. In recent days, numerous literatures have...

.... Assoc. Editor: Dumitru Baleanu. 01 08 2017 21 03 2018 Bifurcations Chaotic dynamics Control Fractional calculus Nonlinear dynamical systems Nonlinear phenomena Stability of nonlinear systems The term “hidden attractor” was coined by Leonov et al. who discovered...

... applications in secure communication [ 17 – 20 ], image encryption [ 21 – 25 ], neural network [ 26 – 28 ], and so on. Chaotic dynamics Control Experimental dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability of nonlinear systems Vibration 15 06...

...-based chaotic system to verify the proposed method. Chaotic dynamics Control Nonlinear dynamical systems Parameter estimation System identification Stability of nonlinear systems Chaos appears in many fields, such as physics, chemistry, medicine, computer science, and engineering [ 1...

... for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received December 2, 2017; final manuscript received March 9, 2018; published online April 3, 2018. Assoc. Editor: Zaihua Wang. 02 12 2017 09 03 2018 Chaotic dynamics Control Multi-scale dynamics...

... applications of noninvasive control methods have already been reviewed in Ref. [ 6 ]. Chaotic dynamics Nonlinear dynamical systems 10 10 2017 09 03 2018 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D...

... . 10.1007/s11071-009-9626-5 [8] Yassen , M. T. , 2006 , “ Chaos Control of Chaotic Dynamical Systems Using Backstepping Design ,” Chaos Solitons Fractals , 27 ( 2 ), pp. 537 – 548 . 10.1016/j.chaos.2005.03.046 [9] Harb , A. M. , Zaher , A. A. , Al-Qaisia , A. A. , and Zohdy...

... is. In our paper, we take Lorenz system as an example to verify the effectiveness of the proposed synchronization scheme. Theoretical analysis and numerical simulations demonstrate the feasibility of this control method. Chaotic dynamics Parameter estimation System identification...

...Liangqiang Zhou; Fangqi Chen Subharmonic bifurcations and chaotic dynamics are investigated both analytically and numerically for a class of ship power system. Chaos arising from heteroclinic intersections is studied with the Melnikov method. The critical curves separating the chaotic...

... . Manuscript received January 23, 2017; final manuscript received November 22, 2017; published online January 12, 2018. Assoc. Editor: Bernard Brogliato. 23 01 2017 22 11 2017 Chaotic dynamics Control Nonlinear dynamical systems Nonlinear instabilities Nonlinear phenomena Stability...

... applications Bifurcations Chaotic dynamics Computational kinematics Dynamics Recently small-scale, engineered, flapping wing flight systems, popularly known as micro aerial vehicles, have received attention in biomimetic research from aerodynamicists, biologists, as well as engineers due...

... 11 2017 Algorithms Chaotic dynamics Nonlinear dynamical systems Numerical Integration methods Recently, the chaotic behavior of fractional-order dynamic systems, appeared in several branches of science and engineering, has attracted growing attention of many researchers [ 1 – 4...

... Chaotic dynamics Control Fractional calculus Nonlinear dynamical systems Stability Stability of nonlinear systems Fractional calculus, which is viewed as a generalization of the classical integer-order (IO) differentiation and integration, dates back to the 17th century. Because of the lack...

... ] discussed the nonlinear dynamic behavior of a heavy articulated vehicle with magnetorheological (MR) dampers, and Abtahi [ 5 ] analyzed the chaotic dynamics along with the control of chaos in a half-car model with the semi-active suspension system. In addition, a magnetic flux feedback controller [ 6...

... YNAMICS . Manuscript received November 22, 2016; final manuscript received August 8, 2017; published online October 9, 2017. Assoc. Editor: Katrin Ellermann. 22 11 2016 08 08 2017 Chaotic dynamics Control Nonlinear phenomena Stability of nonlinear systems Chaotic systems...

... the estimation process of the unknown parameters (Θ 1 –Θ 34 ) for both the upstream and downstream sets subject to the Initial 1 revealing the parameters convergence within the nominal operation time of 40 s; the Initial 1 yielded the coupled chaotic dynamics. The Θ 1 –Θ 17 and Θ 18 –Θ 34 indicate...

... of practical components used in implementation the controller. Then, the designed controller has been realized using analog devices to synchronize two circuits with the proposed chaotic dynamics. Experimental results show that the proposed nonfragile controller successfully synchronizes the chaotic circuits...

.... Editor: Mohammad Younis. 23 12 2016 29 07 2017 Chaotic dynamics Experimental dynamics Non-smooth dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Vibration A parametrically excited pendulum has a pivot subjected to a vertical motion which...