... Runge–Kutta method. Results show that the application of a bias magnetic field can reduce the mean displacement of the system, increasing the oscillation amplitude. Furthermore, the period of oscillation can be modified, even achieving complex behaviors, including chaos. The potential use of MSMAs...

... Base and/or Driving Force ,” J. Sound Vib. , 245 ( 4 ), pp. 685 – 699 . 10.1006/jsvi.2000.3555 [4] Li , Y. , and Feng , Z. C. , 2004 , “ Bifurcation and Chaos in Friction-Induced Vibration ,” Commun. Nonlinear Sci. Numer. Simul. , 9 ( 6 ), pp. 633 – 647 . 10.1016/S1007...

... determining the optimal excitation form for chaos control purposes [ 14 ]. Moreover, a disturbance to which a system may be subjected is hardly ever made of a single frequency harmonic term, and the added superharmonic excitation term may be thought of as the representative of an imperfection or a defect...

... , with the increase of the average diameter of the particles, the system has a multicycle fork and chaos phenomenon, and with the continued increase of x a , the system has a single cycle, chaos, pseudo-cycle, multicycle branching and other rich dynamic behavior. Figure 11 shows Maximum Lyapunov...

...-319-06871-8 [3] Shilnikov , A. , Shilnikov , L. , and Turaev , D. , 2004 , “ On Some Mathematical Topics in Classical Synchronization: A Tutorial ,” Int. J. Bifurcation Chaos , 14 ( 07 ), pp. 2143 – 2160 . 10.1142/S0218127404010539 [4] Belykh , V. N...

... 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. e...

... presented in this paper is correct. 23 03 2020 20 04 2020 29 05 2020 chaos Lagrange equations Slider-crank mechanism Lyapunov exponent mean absolute deviation Revolute clearance joint, which is inevitable due to assembly processes, manufacturing, mobility, and other...

... 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...

..., defect-related features, as manifested by both the multi-fractal and envelope spectra of the signal. 07 06 2011 17 11 2011 18 11 2011 06 01 2012 06 01 2012 chaos fractals noise rolling bearings vibrations local geometric projection phase space reconstruction...

... ,” Nonlinear Dyn. , 10 , pp. 1 – 18 . 10.1007/BF00114795 19 Peterka , F. , 1996 , “ Bifurcation and Transition Phenomena in an Impact Oscillator ,” Chaos, Solitons Fractals , 7 , pp. 1635 – 1647 . 10.1016/S0960-0779(96)00028-8 20 Blazejczyk-Okolewska , B. , and Peterka , F...

... for some specific combination of wave number on races and rotational speed combined with a misalignment of races to provide sufficient nonlinearity. For cases, which are stable to free motion and not close to the neutral stability line, a limited range of chaos can be detected. From the study...

... 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...

... = 5000 (Figs. 17-3 17-4 ) yields first occurrence of one additional frequency (in spite of the external excitation frequency). For q 0 = 27 , 000 (Figs. 17-5 17-6 ) chaos appears at once contrary to the case of ω = 4 . For q 0 = 27 , 400 (Figs. 17-7...

... 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...