... Nonlinear dynamical systems Parameter estimation System identification Stability of nonlinear systems Fractional calculus was discovered in the 17th century [ 1 ]. The concept of fractional calculus was established as a pure mathematics for about three centuries. Fractional-order (FO) nonlinear...

... 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...

... dynamics simulation Vehicular dynamics Parameter estimation System identification Vibration Fig. 14 Experimental versus simulated motor angular speed ( ω m ) A free body diagram of the forces acting on the driven wheel is shown in Fig. 15 . The dynamic equation governing the driven...

... characteristics that are critical to design applications and systems simulations. Dynamics MEMS Nano Experimental dynamics Parameter estimation System identification Impact Contact Friction modeling NEMS 12 06 2017 25 10 2017 Contributed by the Design Engineering Division...

...-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...

... ], and the fractional-order hyperchaotic Chen system [ 12 ]. Algorithms Fractional calculus Design optimization Parameter estimation System identification Numerical Design sensitivity Nonlinear systems Integration methods 14 11 2017 06 03 2018 Contributed by the Design...

... 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...

... Computational kinematics Flexible-cody dynamics Parameter estimation System identification Numerical Dynamics Integration methods In the analysis of the machine tool spindle units, it is important to consider all components of the machine (see Ref. [ 1 ] for an overview). When simulating...

... November 1, 2017. Assoc. Editor: Mohammad Younis. 27 02 2017 23 08 2017 Nonlinear dynamical systems Parameter estimation System identification With the development of the nonlinear vibration theory, in order to improve the precision and reliability of the structure...

...Bart Milne; Chris Hann; XiaoQi Chen System identification of the sinusoidal steady-state response of the Phantom Omni using a local linear model revealed that friction has a non-negligible effect on the accuracy of a global linear model, particularly at low frequencies. Some of the obvious errors...

... Chaotic dynamics Experimental dynamics Nonlinear oscillations Parameter estimation System identification Vibration The issue of analyzing the nonstationary time-series has long been concerned since the most real-world time-series have some degree of nonstationarity due to external...

... manuscript received October 24, 2016; published online December 5, 2016. Assoc. Editor: Paramsothy Jayakumar. 15 07 2016 24 10 2016 Algorithms Multibody system dynamics Design optimization Parameter estimation System identification Numerical Design sensitivity Nonlinear systems...

... received March 16, 2016; final manuscript received July 12, 2016; published online September 16, 2016. Assoc. Editor: Paramsothy Jayakumar. 16 03 2016 12 07 2016 Computational mechanics Nonlinear dynamical systems Nonlinear oscillations Parameter estimation System identification...

.... 03 03 2016 13 07 2016 Computational kinematics Multibody system dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Parameter estimation System identification Dynamics Vibration The acoustic filtering properties of linear systems...

...; final manuscript received May 1, 2016; published online June 2, 2016. Assoc. Editor: Stefano Lenci. 21 11 2015 01 05 2016 Nonlinear dynamical systems Nonlinear oscillations Design optimization Parameter estimation System identification Vibration Design sensitivity...

... long time, but the first research into nonlinear system identification methods goes back to the seventies of the last century [ 13 , 14 ]. Since then, a large number of literatures have been published to consider the identification of various types of nonlinearities. But most of these literatures focus...