... 2010 16 08 2010 bifurcation chaos creep flanges railways vehicle dynamics four-axle railway passenger car bifurcation critical speed asymmetry chaos The lateral stability and bifurcation behavior of railway vehicles are fascinating topics in nonlinear mathematics...

... simplicity in synchronizing these mechanical systems are illustrated by two numerical examples, the first dealing with a system of three different gyros, the second with five different ones. 13 07 2006 04 07 2007 25 02 2008 chaos gyroscopes nonlinear dynamical systems...

...-chaos with four positive Lyapunov exponents have been observed. structural panels vibrations chaos elastic constants bifurcation Amabili ( 10 ) studied the large-amplitude, forced vibrations of mode (1,1) of circular cylindrical panels with rectangular base, classical simply supported...

... the classification of various types of chips, chip formation is fundamentally either stable or unstable, with the latter being either periodic or aperiodic. Among practical technologies, aperiodic chip formation is a typical phenomenon of nonlinear dynamic processes, whose examination is the subject of “chaos theory...

...Alberto Carpinteri; Nicola Pugno The aim of the present paper is to evaluate the complex oscillatory behavior, i.e., the transition to chaos, in damaged nonlinear structures under excitation. In the present paper, Part II , we apply the theoretical approach described in Part I to perform...

...Alberto Carpinteri; Nicola Pugno The aim of the present paper is to evaluate the complex oscillatory behavior, i.e., the transition toward deterministic chaos, in damaged nonlinear structures under excitation. In the present paper (Part I), we show the developed theoretical approach and how...

..., Introduction to Applied Nonlinear Dynamical Systems and Chaos , Springer-Verlag, New York. Holmes , P. J. , and Marsden , J. E. , 1981 , “ A Partial Differential Equation With Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam ,” Arch. Ration. Mech. Anal. , 76 , pp. 135...

... observes that the whole Poincare´ map is covered by chaotic trajectories except for few islands. This result indicates that an onset of global chaos has occurred. It is important to realize under what conditions a nonlinear system will become chaotic but more important to realize how chaotic motion...

...G. L. Wen and; J. H. Xie A nontypical route to chaos of a two-degree-of-freedom vibro-impact system is investigated. That is, the period-doubling bifurcations, and then the system turns out to the stable quasi-periodic response while the period 4-4 impact motion fails to be stable. Finally...