... 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...

... 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...

... 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...

... ]. 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...

... 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...

... in comparable regions. For verification purpose, the time-invariant models are transformed into time-variant ones in the inertial frame, based on which instabilities are estimated by using Floquét theory. Consistence between the time-invariant and -variant models verifies the comparisons. Analytical solution...

... 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...

... for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received December 1, 2016; final manuscript received April 1, 2017; published online September 7, 2017. Assoc. Editor: Tomasz Kapitaniak. 01 12 2016 01 04 2017 Analytical solution systems Bifurcations...

... 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...

... in the integral form equates this change with the impulse exerted by the other body, which suggests that the impact as a process should be described in terms of the finite impulse rather than the infinitesimal time. Algorithms Analytical solution systems Computational mechanics Impact Contact...

... 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...

... Engineering Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received July 6, 2015; final manuscript received July 25, 2016; published online August 22, 2016. Assoc. Editor: Zdravko Terze. 06 07 2015 25 07 2016 Analytical solution...