... of chaotic intrawell motion. To visualize all six Lyapunov exponents, we consider the case of Q = 1000. Since modes are coupled via Eq. (6) , when a single mode is chaotic, the chaos is transferred to the other two modes. Because of this coupling, it is expected that either all three modes will behave...

... 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. Reissner , E. , 1955 , “ Nonlinear Effects in Vibrations of Cylindrical Shells ,” Ramo-Wooldridge Corporation, Rep. No. AM5-6. Grigolyuk , E. I. , 1955 , “ Vibrations of Circular Cylindrical Panels Subjected to Finite...

... processes, whose examination is the subject of “chaos theory.” In the case of stable processes, evenly deformed chips of constant thickness, called continuous chips are produced (see Fig. 2a ), which is significant because we have reliable knowledge about these processes owing to the several decades...

...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...

...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...

...-Verlag, New York. Wiggins, S., 1990, 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...

... is investigated through numerical integration in conjunction with Poincare´ map. It is shown that as the spin velocity increases, the chaotic motion turns into a regular motion. gyroscopes chaos angular velocity nonlinear dynamical systems In recent years, several researchers have conducted studies...

...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...