... 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...

... Stochastic systems Symbolic solution systems Vibration 30 07 2017 30 10 2017 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received July 30, 2017; final manuscript received October 30...

... AND N ONLINEAR D YNAMICS . Manuscript received August 3, 2017; final manuscript received October 5, 2017; published online July 26, 2018. Assoc. Editor: Hiroshi Yabuno. 03 08 2017 05 10 2017 Analytical solution systems Nonlinear oscillations Symbolic solution systems Vibration...

... phenomena Symbolic solution systems Bio-mechanical systems Biological systems The Newel–Whitehead–Segel equation (NWSE), one of the significant concepts of pattern formation theory (sometimes it is called only Newel–Whitehead equation, amplitude equation [ 1 ] or a particular form of the Chafee...

... systems Stability Symbolic solution systems Stability of nonlinear systems 30 11 2017 24 04 2018 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received November 30, 2017; final...

... received September 6, 2017; final manuscript received March 19, 2018; published online April 12, 2018. Assoc. Editor: Massimo Ruzzene. 06 09 2017 19 03 2018 Analytical solution systems Experimental dynamics Symbolic solution systems In 2000, Landa and McClintock [ 1...

... Analytical solution systems Nonlinear dynamical systems Nonlinear oscillations Perturbation Symbolic solution systems Vibration Asymptotic models The linear normal mode is an established concept in the structural dynamics theory, which has been widely used in various industrial applications...

... systems Control Stability Symbolic solution systems Stability of nonlinear systems Rotating-load dynamic problems are rather common in engineering and daily life [ 1 , 2 ]. It can induce parametric vibration, significant noise, or even permanent damage. Knowledge of the parametric vibration...

... Analytical solution systems Symbolic solution systems Symmetry analysis has many applications in the field of science and engineering. Lie's method is one of the global and efficient method for investigating analytical solutions and symmetry properties of nonlinear partial differential equations...

... YNAMICS . Manuscript received March 6, 2017; final manuscript received August 17, 2017; published online November 9, 2017. Assoc. Editor: Bogdan I. Epureanu. 06 03 2017 17 08 2017 Algorithms Analytical solution systems Stability Numerical Symbolic solution systems Integration...

... Control Non-smooth dynamics Symbolic solution systems Stability of nonlinear systems Discontinuous dynamical systems extensively exist in engineering, such as mechanical engineering and engineering control. One tried to use the existing methods in continuous dynamical systems for solving...

... 12 2016 01 06 2017 Analytical solution systems Control Experimental dynamics Nonlinear dynamical systems Symbolic solution systems Stability of nonlinear systems The gyroscopic exercise tool called Power Ball [ 1 ], which utilizes a gyroscopic effect caused...

... 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...

... Stepan. 15 06 2015 10 11 2015 Analytical solution systems Symbolic solution systems Derivative on fractals (as a special case of time scales) has been proposed in Ref. [ 1 ] by (1) D α f ( t ) : = lim t ′ → t f ( t ) − f ( t...

... Friction modeling Numerical Symbolic solution systems Integration methods 22 08 2016 23 11 2016 Contributed by the Design Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received August 22, 2016; final...

... Algorithms Analytical solution systems Fractional calculus Integration methods Symbolic solution systems In the past few decades, fractional calculus has attained considerable popularity and importance as generalizations of integer-order evolution equations and used to model problems in neurons...

... online December 5, 2016. Assoc. Editor: Jozsef Kovecses. 09 11 2015 14 06 2016 Algorithms Analytical solution systems Computational kinematics Nonlinear dynamical systems Numerical Symbolic solution systems Dynamics Integration methods Constrained dynamical systems...

... October 14, 2016; published online November 22, 2016. Assoc. Editor: Gabor Stepan. 05 03 2015 14 10 2016 Algorithms Analytical solution systems Integration methods Symbolic solution systems In this study, a new numerical scheme based on quasilinearization and Chebyshev...

... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received August 31, 2015; final manuscript received July 3, 2016; published online September 1, 2016. Assoc. Editor: Bogdan I. Epureanu. 31 08 2015 03 07 2016 Analytical solution systems Nonlinear dynamical systems Symbolic solution...

... systems Impact Contact modeling Symbolic solution systems The proper treatment of contact problems involving complex shaped bodies in computational dynamics still poses a challenge in the scientific community. In this domain, formulations and algorithms are required, which allow for a precise...