...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...

... 01 2012 nonlinear dynamical systems polynomials synchronisation frequency synchronization amplitude independent center conditions period function normal forms isochronicity linearizability polynomial systems symbolic computations Gröbner basis FGb algorithm maple...

.... , 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 , Academic Press , New York...

... of vibro-impact problems, one of the simplest vibro-impact problems will be discussed herein. In other words, the motions of a ball in a periodically shaken impact pair will be investigated through the theory of discontinuous dynamical systems. bifurcation chaos nonlinear dynamical systems...

... 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...

.... The proposed approach is also compared with the linear regression method. 23 04 2011 12 08 2011 05 10 2011 05 10 2011 Newton method nonlinear differential equations nonlinear dynamical systems optimisation parameter estimation regression analysis deterministic...

... 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...

... of 2DOF analytical model 10 09 2010 02 06 2011 15 08 2011 15 08 2011 bifurcation blades friction laser printers mechanical contact mechanical stability nonlinear dynamical systems vibrations Laser printers, which have recently shown advancements in image...

... information with nanoscale resolution. atomic force microscopy bifurcation cantilevers nonlinear dynamical systems numerical analysis The atomic force microscope (AFM) has become an important tool in micro- and nanoscale research since it was invented in the 1980s ( 1 ). A cantilever structure...

... 21 09 2010 14 04 2011 14 04 2011 control system synthesis differential algebraic equations multivariable control systems nonlinear dynamical systems PD control stability three-term control The dynamics of multibody systems, such as robotic manipulators, is becoming...

... , “ Precise Integration Method for Nonlinear Dynamic Equation ,” Int. J. Nonlinear Sci. Numer. Simul. 1565-1339 , 2 , pp. 371 – 374 . Zhang , S.-Y. , and Deng , Z.-C. , 2003 , “ An Improved Precise Integration Method for Nonlinear Dynamic System ,” Mech. Res. Commun. 0093-6413 , 30 ( 1...

... variation law was concluded, which is the foundation of linear spectra isolation for chaotic vibration control technology. 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...

... and Bifurcation Surfaces for Nonlinear Time-Periodic Systems ,” Nonlinear Dyn. 0924-090X , 17 , pp. 1 – 21 . 10.1023/A:1008284325276 21 07 2010 02 02 2011 22 03 2011 22 03 2011 Chebyshev approximation least squares approximations nonlinear dynamical systems time-varying...

... impact was graphed against the value at the previous impact. 13 01 2010 27 08 2010 16 12 2010 16 12 2010 bifurcation electromechanical effects nonlinear dynamical systems sensors Limit-switch sensors are input-output devices that switch operating state in reaction...

... 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) and its constructive proof. Starting with a single chart, i.e., a point...

... of Bifurcation Problems I and II ,” Int. J. Bifurcation Chaos Appl. Sci. Eng. 0218-1274 , 1 , pp. 493 – 520 and 745–772. 10.1142/S0218127491000397 15 12 2009 26 04 2010 15 11 2010 15 11 2010 chaos nonlinear dynamical systems We study the chaotic behavior of the T...

..., Mihajlo Pupin Institute, Belgrage, Serbia. http://www.institutepupin.com/RnDProfile/robotics/research-topic12.html 09 12 2009 29 06 2010 28 10 2010 28 10 2010 actuators biomechanics dynamics mechanical stability nonlinear dynamical systems redundant constraint...

... rapid convergency to the optimal solution of optimization problem than the integer order ones. 25 11 2009 15 03 2010 20 10 2010 20 10 2010 nonlinear differential equations nonlinear dynamical systems nonlinear programming penalty function dynamical system fractional...

... algebraic and differential equations with reference to the dynamics of constrained multibody systems have been proposed in literature ( 1 2 3 4 5 6 ). Baumgarte method violation of constraints Laplace transforms many-body problems nonlinear dynamical systems 30 07 2009 10...