... 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 Writing Eq. (4) in state space form (5) { d...

... 07 04 2018 Chaotic dynamics Control Experimental dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability of nonlinear systems Vibration The rest of this paper is organized as follows: In Sec. 2 , the model of the novel no-equilibrium hyper...

... 2017 25 02 2018 Bifurcations Design optimization Nonlinear phenomena Perturbation Reduced-order models Dynamical analysis Dynamical method Asymptotic models Concurrent advances in precision manufacturing, material science, and computational design methods have produced...

... calculus Nonlinear dynamical 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...

... 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...

... ONLINEAR D YNAMICS . Manuscript received July 6, 2017; final manuscript received March 22, 2018; published online May 17, 2018. Assoc. Editor: Brian Feeny. 06 07 2017 22 03 2018 Nonlinear oscillations Nonlinear phenomena Stability Vibration Renewable, natural power sources...

... 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...

...; 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 signal can be amplified by nonlinear...

... January 12, 2018. Assoc. Editor: Bernard Brogliato. 23 01 2017 22 11 2017 Chaotic dynamics Control Nonlinear dynamical systems Nonlinear instabilities Nonlinear phenomena Stability Time delay systems Stability of nonlinear systems Through the past years...

.... Assoc. Editor: Dan Negrut. 08 01 2017 01 07 2017 Algorithms Computational mechanics Nonlinear phenomena Numerical Integration methods Several differential equations (DEs) on unbounded intervals occur in the engineering, biological, physics, and other sciences. Different...

... 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...

... 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 of the parametrically excited pendulum has been widely studied over many years with respect to its dynamical...

... ONLINEAR D YNAMICS . Manuscript received June 18, 2016; final manuscript received July 3, 2017; published online October 9, 2017. Assoc. Editor: Hiroshi Yabuno. 18 06 2016 03 07 2017 Algorithms Chaotic dynamics Control Nonlinear phenomena Numerical Stability of nonlinear systems...

... 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 and in many...

... Computational mechanics Control 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...

... 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...

... Systèmes, Vélizy-Villacoublay, France. 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) from Hurty [ 1 ] and Craig and Bampton [ 2...

... dynamics Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Perturbation Symbolic solution systems Vibration Dynamics of NEMS Dynamics of MEMS Asymptotic models 08 11 2016 16 05 2017 Contributed by the Design Engineering Division of ASME for publication...

... zero-frequency coupling at the point of jump-to-contact. Both of these phenomena are shown to account for the amplitude jumps observed in the AFM array. Dynamics MEMS Experimental dynamics Multibody system dynamics Nonlinear oscillations Nonlinear phenomena Vibration NEMS Atomic force...