...Chen Kong; Xue Gao; Xianbin Liu The global analysis is very important for a nonlinear dynamical system which possesses a chaotic saddle and a nonchaotic attractor, especially for the one that is driven by a noise. For a random dynamical system, within which, chaotic saddles exist, it is found...

... . Manuscript received October 31, 2015; final manuscript received April 14, 2016; published online May 24, 2016. Assoc. Editor: Stefano Lenci. 31 10 2015 14 04 2016 Dynamics MEMS Nonlinear dynamical systems Nonlinear instabilities NEMS Microbeams are the main components in many...

... ) = − 2 x , g ( x ) =  x  + 4/9 x 3 satisfying g ( x ) = g ' ( 0 ) x + 1 x 3 ( ∫ 0 x sf ( s ) ds ) 2 03 07 2011 16 10 2011 09 01 2012 09 01 2012 nonlinear dynamical systems polynomials synchronisation...

....2011.08.004 32 Li , Y. , Chen , Y. Q. , and Podlubny , I. , 2009 , “ Mittag-Leffler Stability of Fractional Order Nonlinear Dynamic Systems ,” Automatica , 45 , pp. 1965 – 1969 . 10.1016/j.automatica.2009.04.003 33 Podlubny , I. , 1999 , Fractional Differential Equations...

... and chaotic motions are given. bifurcation chaos nonlinear dynamical systems Phenomena in the impact pair problem extensively exist in the mechanical engineering. A better understanding of vibro-impact problems is very useful to understand the vibration and noise in engineering. In order...

... nonlinear dynamical systems numerical analysis pendulums vibrations inverted pendulum φ 6 potential aerodynamic drag harmonic balance method escape horseshoes chaos In recent years, considerable efforts have been devoted to the study of nonlinear vibrating structures. Among...

.... Methods Software , 6 ( 3 ), pp. 193 – 217 . 10.1080/10556789508805633 Newton method nonlinear differential equations nonlinear dynamical systems optimisation parameter estimation regression analysis deterministic optimization global optimization homotopy continuation measurement...

... of the most interesting is certainly that of exploiting the pendulum rotations for extracting energy from sea waves, an idea that has been recently proposed by Wiercigroch [( 3 )]. nonlinear dynamical systems pendulums rotation water waves 01 04 2011 25 06 2011 15 08 2011 15...

... to be a self-excited vibration induced by friction, the excitation mechanism of such vibration has yet to be theoretically clarified. bifurcation blades friction laser printers mechanical contact mechanical stability nonlinear dynamical systems vibrations 10 09 2010 02 06 2011...

... Veeco-Instruments , 2010 , Veeco probes, http://www.veecoprobes.com 15 04 2010 24 02 2011 14 04 2011 14 04 2011 atomic force microscopy bifurcation cantilevers nonlinear dynamical systems numerical analysis The atomic force microscope (AFM) has become...

... multivariable control systems nonlinear dynamical systems PD control stability three-term control The dynamics of multibody systems, such as robotic manipulators, is becoming increasingly important in the past two decades. Depending on the choice of generalized coordinates that are used to describe...

... integration method is presented for solving nonlinear stiff problems. The numerical examples are given to demonstrate the validity and effectiveness of the proposed method. integration nonlinear dynamical systems Runge-Kutta methods stiff dynamical equation Runge–Kutta method precise integration...

... and Information in Engineering Conference , Las Vegas, NV, Sept. 4–7, pp. 1335 – 1338 . 07 09 2009 01 03 2011 12 04 2011 12 04 2011 chaos nonlinear dynamical systems Poincare mapping time series chaotic vibration time series vibration system phase space reconstruction...

... a nonlinear function of the unknown parameters and states. All the algorithms are presented stepwise and are illustrated using suitable examples. 21 07 2010 02 02 2011 22 03 2011 22 03 2011 Chebyshev approximation least squares approximations nonlinear dynamical systems time...

.... A testbed for investigating post-grazing dynamics and signal transduction in a coupled electromechanical system 13 01 2010 27 08 2010 16 12 2010 16 12 2010 bifurcation electromechanical effects nonlinear dynamical systems sensors Limit-switch sensors are input...

.... 0036-1429 , 42 ( 6 ), pp. 2522 – 2568 . 05 05 2009 23 08 2010 15 12 2010 15 12 2010 bifurcation nonlinear dynamical systems Continuation is a numerical technique for computing implicitly defined manifolds that relies on the implicit function theorem (IFT...

... 2010 chaos nonlinear dynamical systems We study the chaotic behavior of the T system, a three dimensional autonomous nonlinear system introduced recently by Tigan ( 1 2 ), which has potential application in secure communications. In particular, systems with sensitivity to the initial...

... level will also be illustrated. 09 12 2009 29 06 2010 28 10 2010 28 10 2010 actuators biomechanics dynamics mechanical stability nonlinear dynamical systems redundant constraint forces redundant actuators singularity penalty technique actuating and passive...

... penalty function dynamical system fractional derivative Adomian decomposition method multistage strategy nonlinear differential equations nonlinear dynamical systems 25 11 2009 15 03 2010 20 10 2010 20 10 2010 2011 American Society of Mechanical Engineers ...

... problems nonlinear dynamical systems Baumgarte method violation of constraints It is known that the dynamic solution of the equations of motion for constrained multibody systems deals with the resolution of a mixed set of algebraic and differential equations. The differential equations...