... 18 05 2022 01 11 2022 17 11 2022 third body dry friction disk brake stability chaos National Natural Science Foundation of China 10.13039/501100001809 51375130 From the laboratory to the road, the use of technology and further research by engineers can...

... multifrequency quasi-periodic oscillations torus-doubling bifurcation chaos Lyapunov exponents The dynamics of ensembles of interacting oscillators is very rich and diverse. Interaction in ensembles initiates various phenomena such as: synchronization [ 1 – 3 ], clustering [ 4 – 6 ], chimeras [ 7 – 10...

... heteroclinic cycles in Maxwell–Bloch system by combining theoretical and numerical analyses for a special parameter value. It is hoped that these theoretical and numerical value results are given a contribution in an understanding of the physical essence for chaos in the Maxwell–Bloch system. In fact, each...

... et al. [ 89 ] also studied an adjustable clearance joint between the slider and connecting rod about the slider–crank mechanism. Fig. 6 The test rig The test rig Clearance joints can make the dynamical behavior chaos and inaccuracy. The Lyapunov exponents are very sensitive...

... for the first time. The intriguing dynamics observed from the system where further substantiated by phase portraits, Poincaré map, power spectra, and “ 0 − 1 test.” We trace the transition of the system from periodic to chaos through analytical solutions, which are in good agreement with hardware experiments...

... , pp. 1315 – 1325 . 10.1063/1.1458932 [3] Finn , M. D. , Cox , S. M. , and Byrne , H. M. , 2003 , “ Topological Chaos in Inviscid and Viscous Mixers ,” J. Fluid Mech. , 493 , pp. 345 – 361 . 10.1017/S0022112003005858 [4] Jana , S. C. , Metcalfe , G. , and Ottino...

... turbomachineries particularly in turbulent flow cases. gear chaos nonlinear suspension turbulent quadratic damping The dynamic analyses for gears and rotor-bearing systems have become more and more important with higher increasing demand for high-speed machinery. Many studies have focused...

...Mohammad Pourmahmood Aghababa This paper concerns the problem of stabilization of uncertain fractional-order chaotic systems in finite time. On the basis of fractional Lyapunov stability theory, a robust finite-time fractional controller is introduced to control chaos of fractional-order chaotic...

...-borne vibration, which is broad-band and can be modeled as white noise. 07 06 2011 17 11 2011 18 11 2011 06 01 2012 06 01 2012 chaos fractals noise rolling bearings vibrations Research on nonlinear dynamics has introduced new quantities such as correlation...

... 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...

... 11 2011 10 11 2011 ball bearings chaos damping deformation elastic constants elasticity fast Fourier transforms integration Newton-Raphson method nonlinear differential equations Poincare mapping rolling bearings rotors shear modulus springs (mechanical) vibrations...

... forces on the amplitude of vibration, on the structure failure, and on the appearance of horseshoes chaos. Numerical simulations have been performed to confirm analytical investigation. 04 10 2010 11 08 2011 24 08 2011 20 10 2011 24 10 2011 aerodynamics chaos drag...

... as choose the best suitable wavelets to study nonlinear vibrations of the flexible Timoshenko beam. In addition, the maximum Lyapunov exponent is computed in order to validate occurrence of chaos of the Timoshenko beams. We study one layer beam (Fig. 1 ) occupying the 2D part of space R 2...

... in different frequency bands were extracted with the wavelet package analysis method, and the important characteristic vectors for chaos identification were provided. These methods were verified with numerical simulation first in this paper. Then, the nonlinear vibration system based on an air spring isolator...

... to confirm the validity of the analytical results of the paper. chaos closed loop systems feedback stability This section is devoted to presenting some definitions, notations, and results that are used in Secs. 3 4 . Let us begin this section by presenting the definition of Caputo fractional...

.... 61–72) , which has potential application in secure communications. Here, we first recount the heteroclinic orbits of Tigan and Dumitru (2008, “Analysis of a 3D Chaotic System,” Chaos, Solitons Fractals, 36, pp. 1315–1319) , and then we analytically construct homoclinic orbits describing the observed...

... and a second that visits a lower-well orbit and a two-well orbit. Bifurcation diagrams obtained by sweeping the ac voltage amplitudes and frequency are presented. Period doubling, reverse period doubling, and the one-well chaos through period doubling are observed in amplitude sweep. In frequency sweep, period...

... results show that the fractional order damped Duffing system exhibits periodic motion, chaos, periodic motion, chaos, and periodic motion in turn when the fractional order varies from 0.1 to 2.0. The period doubling bifurcation route to chaos and inverse period doubling bifurcation out of chaos...

... = 1 , … , Σ s = 1 l ( n s + k 3 s + m s + k 2 s + k 1 s ) − 1 . 01 12 2008 22 04 2009 28 07 2010 28 07 2010 chaos nonlinear dynamical systems oscillators Fermi-acceleration oscillator discontinuous dynamical...

..., having a cubic form as the charge-voltage characteristics. The modal approximation and the finite differences numerical scheme are used to analyze the dynamical behavior of the system: Resonant oscillations and bifurcation diagram leading to chaos are observed for some values of the polarization voltage...