... systems Nonlinear phenomena Numerical Integration methods Diffusion is a widespread physical phenomenon in nature. On micro scale, diffusion is caused by the Brownian motion of atoms or molecules that leads to complete mixing. While on macro level, it is described by the famous Fick's laws...

.... 30 07 2017 30 10 2017 Analytical solution systems Continuation Methods Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability Stochastic systems Symbolic solution systems Vibration When finding the dynamics of a stochastic system, direct...

... Control Experimental dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability of nonlinear systems Vibration Since O. E. Rössler found the first hyper-chaotic system in 1979 [ 1 ], numerous examples of hyper-chaotic systems [ 2 – 12 ] have been constructed...

... AND N ONLINEAR D YNAMICS . Manuscript received August 1, 2017; final manuscript received February 25, 2018; published online July 26, 2018. Assoc. Editor: Hiroshi Yabuno. 01 08 2017 25 02 2018 Bifurcations Design optimization Nonlinear phenomena Perturbation Reduced-order...

... systems Nonlinear phenomena Stability of nonlinear systems The term “hidden attractor” was coined by Leonov et al. who discovered it first in the Chua circuit [ 1 ]. Such attractors refer to those displayed by systems whose basins of attraction do not contain neighborhoods of any equilibrium...

... 2018 21 05 2018 Analytical solution systems Computational dynamics Nonlinear dynamical systems Nonlinear phenomena Symbolic solution systems Bio-mechanical systems Biological systems The Newel–Whitehead–Segel equation (NWSE), one of the significant concepts of pattern...

... to reduce the cost of power generation, the stiffness becomes comparatively small. This results in a higher risk of vibration problems and their serious consequences. Nonlinear oscillations Nonlinear phenomena Stability Vibration 06 07 2017 22 03 2018 Contributed...

... online February 26, 2018. Assoc. Editor: Tsuyoshi Inoue. 16 10 2017 27 01 2018 Aerospace applications Bifurcations Nonlinear phenomena Slender wings are usually used in aerospace engineering. With their special shape, the geometric structural nonlinearity cannot...

... manuscript received December 10, 2017; published online January 24, 2018. Assoc. Editor: Dumitru Baleanu. 20 09 2017 10 12 2017 Computational kinematics Fractional calculus Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Dynamics Vibration A weak...

... Control Nonlinear dynamical systems Nonlinear instabilities Nonlinear phenomena Stability Time delay systems Stability of nonlinear systems Through the past years, the stabilization analysis of linear and nonlinear continuous or discrete-time systems has received much attention [ 1 – 8...

... ) = − 1.19179064971942173412282860380015936403 for β = 0.50 , highly accurate to 38 decimal places. The convergence of numerical results is shown by decreasing the residual errors when the number of collocation points increases. Algorithms Computational mechanics Nonlinear phenomena Numerical Integration methods Several...

... Control Nonlinear phenomena Stability of nonlinear systems Chaotic systems are an important class of nonlinear systems. The prominent characteristics of chaotic systems are noiselike wave form, the broadband spectrum, unpredictable behavior, and extreme sensitivity to initial conditions...

... 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 varies with time. The dynamics...

... Algorithms Chaotic dynamics Control Nonlinear phenomena Numerical Stability of nonlinear systems Integration methods Standard analysis of a nonlinear dynamical system usually consists of the computation of linearized stability, Poincare map, Lyapunov exponent, and other features of the time...

...; final manuscript received June 6, 2017; published online September 7, 2017. Assoc. Editor: Stefano Lenci. 02 11 2016 06 06 2017 Impact Non-smooth dynamics Nonlinear phenomena Contact Friction modeling Collisions or impacts in mechanical systems are very common...

... Impact Non-smooth dynamics Nonlinear dynamical systems Nonlinear phenomena Impact Contact Friction modeling Stability of nonlinear systems Contact modeling Bells are one of the oldest musical instruments which still play an important role in culture and religion. They were invented...

... online xx xx, xxxx. Assoc. Editor: Przemyslaw Perlikowski. 25 11 2016 04 05 2017 Experimental dynamics Impact Non-smooth dynamics Nonlinear instabilities Nonlinear oscillations Nonlinear phenomena Contact modeling Vibration In recent years, there has been an increasing...

... online July 18, 2017. Assoc. Editor: Javier Cuadrado. 06 02 2017 24 05 2017 Flexible-cody dynamics Multibody system dynamics Nonlinear phenomena Reduced-Order models Modal reduction concepts for linear systems have been developed with the component mode synthesis (CMS...

... Analytical solution systems Computational mechanics Dynamics of MEMS Nano systems dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Perturbation Symbolic solution systems Vibration Dynamics of NEMS Dynamics of MEMS Asymptotic models Owing...

... . Manuscript received November 6, 2016; final manuscript received April 11, 2017; published online May 17, 2017. Assoc. Editor: Anindya Chatterjee. 06 11 2016 11 04 2017 Dynamics MEMS Experimental dynamics Multibody system dynamics Nonlinear oscillations Nonlinear phenomena Vibration...