... 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...

... ] The application of the POD in Refs. [ 31 – 38 ] requires the response of the dynamical system to be obtained in space and time. Accordingly, the n − dof nonlinear dynamical system requires numerical simulation to form the time history matrix of displacements. The solution at p time steps can...

... 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...

... for publication in the J OURNAL OF C 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...

.... 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...

... D YNAMICS . Manuscript received September 8, 2017; final manuscript received May 21, 2018; published online July 26, 2018. Assoc. Editor: Dumitru Baleanu. 08 09 2017 21 05 2018 Analytical solution systems Nonlinear dynamical systems Symbolic solution systems...

... 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...

... 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...

...: Dumitru Baleanu. 14 06 2017 15 11 2017 Computational dynamics Control Nonlinear dynamical systems Bio-mechanical systems Biological systems Stability of nonlinear systems The acquired immunodeficiency syndrome is caused by the human immunodeficiency virus (HIV). HIV...

... that lead to deteriorating behavior in Eq. (9) (negative values) are initially removed. 84 and 12 combinations satisfy the criterion for all the objective functions using 7.5% and 12.5% NES mass ratios, respectively. Impact Nonlinear dynamical systems Design optimization Contact Friction...

...-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...

... OURNAL OF C 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...

... ONLINEAR D YNAMICS . Manuscript received 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...

... 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...

... ]. Furthermore, identified parameters of AMB model may contain the parametric uncertainty [ 14 ]. The combination of these nonlinearities and parametric uncertainty may cause significant influence on the vibration characteristics. Analytical solution systems Bifurcations Control Nonlinear dynamical...

... manuscript received April 9, 2018; published online May 17, 2018. Assoc. Editor: Firdaus Udwadia. 27 11 2017 09 04 2018 Control Nonlinear dynamical systems Perturbation Robotics Stability of nonlinear systems Mechanism systems Asymptotic models An industrial robot...