... 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...

... to the crack propagation are found to be coinciding with the unstable zones found by the Floquet's theory of the considered cracked system. 19 01 2018 11 08 2018 Aerospace applications Experimental dynamics Multibody system dynamics Nonlinear dynamical systems Nonlinear oscillations...

... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received April 23, 2018; final manuscript received July 31, 2018; published online August 22, 2018. Assoc. Editor: Dumitru Baleanu. 23 04 2018 31 07 2018 Algorithms Fractional calculus Nonlinear dynamical...

... . Manuscript received January 6, 2018; final manuscript received July 21, 2018; published online August 22, 2018. Assoc. Editor: Brian Feeny. 06 01 2018 21 07 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical Integration methods Fractional differential...

... 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...

... Nonlinear dynamical systems Real-Time dynamics simulation Stability Dynamical analysis Dynamical method Multi-unit hydropower systems (MUHSs) are complex nonlinear systems including several components, such as synchronous generators, hydro-turbines, governors, and penstocks. The MUHS...

... Multibody system dynamics Nonlinear dynamical systems Design optimization Robotics Impact Contact Friction modeling Numerical Integration methods Bio-mechanical systems Biological systems Dynamics Stability of nonlinear systems Design sensitivity Nonlinear systems Mechanism systems...

... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received January 30, 2018; final manuscript received June 25, 2018; published online July 30, 2018. Assoc. Editor: Tsuyoshi Inoue. 30 01 2018 25 06 2018 Bifurcations Nonlinear dynamical systems Nonlinear oscillations Stability...

.... Excellent textbooks for symmetry methods include [ 4 , 5 ]. Analytical solution systems Nonlinear dynamical systems Symbolic solution systems 08 09 2017 21 05 2018 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL...

... a symbolic equation solver (e.g., mathematica ). The set of ordinary differential equations (ODEs), which this method supplies, can then be easily solved. Analytical solution systems Continuation Methods Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability...

... OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received June 15, 2017; final manuscript received April 7, 2018; published online July 26, 2018. Assoc. Editor: Hiroshi Yabuno. 15 06 2017 07 04 2018 Chaotic dynamics Control Experimental dynamics Nonlinear dynamical...

... 2017 Computational dynamics Control Nonlinear dynamical systems Bio-mechanical systems Biological systems Stability of nonlinear systems Driven by the above research, we analyze the effect of a periodic drug regimen in a noninteger order model for HIV infection. In Sec. 2 , we...

... Continuation Techniques ,” Mech. Syst. Signal Process. , 23 ( 1 ), pp. 195 – 216 . 10.1016/j.ymssp.2008.04.003 Impact Nonlinear dynamical systems Design optimization Contact Friction modeling Design sensitivity Nonlinear systems The dominance of internal combustion (IC) engines...

.... 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...

... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received August 29, 2017; final manuscript received May 10, 2018; published online June 18, 2018. Assoc. Editor: Anindya Chatterjee. 29 08 2017 10 05 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical...

... January 29, 2018; final manuscript received May 21, 2018; published online June 18, 2018. Assoc. Editor: Dumitru Baleanu. 29 01 2018 21 05 2018 Analytical solution systems Computational dynamics Nonlinear dynamical systems Nonlinear phenomena Symbolic solution systems Bio...

... 18, 2018. Assoc. Editor: Anindya Chatterjee. 02 12 2017 22 05 2018 Chaotic dynamics Control Nonlinear dynamical systems Parameter estimation System identification Stability of nonlinear systems Chaos appears in many fields, such as physics, chemistry, medicine...

... manuscript received April 30, 2018; published online May 30, 2018. Assoc. Editor: Zaihua Wang. 31 01 2018 30 04 2018 Control Fractional calculus Non-smooth dynamics Nonlinear dynamical systems Stability Stability of nonlinear systems In engineering practice...

... solution systems Bifurcations Control Nonlinear dynamical systems Stability Symbolic solution systems Stability of nonlinear systems Electromagnetic force of active magnetic bearing (AMB) is an essentially nonlinear force, and many literatures have reported that the influence...

... , “ Dynamics and Control of a Multi-Body Planar Pendulum ,” Nonlinear Dyn. , 81 ( 1–2 ), pp. 845 – 866 . 10.1007/s11071-015-2034-0 [3] Udwadia , F. E. , and Koganti , P. B. , 2015 , “ Optimal Stable Control for Nonlinear Dynamical Systems: An Analytical Dynamics Based Approach ,” Nonlinear...