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Keywords: chaos
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011006.
Paper No: CND-23-1120
Published Online: December 1, 2023
... 07 11 2023 01 12 2023 third-body dry friction disk brake tire friction pair stability chaos Brake vibration and noise have always been a common problem in the automotive industry and related academic circles [ 1 ]. The mechanism of braking noise mainly involves two kinds...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2023, 18(10): 101004.
Paper No: CND-23-1077
Published Online: August 11, 2023
... [14] Lenci , S. , and Rega , G. , 1998 , “ Controlling Nonlinear Dynamics in a Two-Well Impact System. Parts I & II ,” Int. J. Bif. Chaos , 8 ( 12 ), pp. 2387 – 2407 . 10.1142/S0218127498001911 [15] Peterka , F. , 1996 , “ Bifurcations and Transition Phenomena...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011003.
Paper No: CND-22-1134
Published Online: November 17, 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 help reduce the noise and vibration of cars [ 1...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2020, 15(10): 101007.
Paper No: CND-20-1091
Published Online: August 7, 2020
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2020, 15(8): 081001.
Paper No: CND-20-1113
Published Online: May 29, 2020
... joints. With the help of Lyapunov exponent and MAD, the results indicated that various clearance sizes and drive speeds can change the dynamical behaviors of the slider, which is complex but can be predicted in some way. e-mail:  xj_6302@263.net chaos Lagrange equations Slider-crank mechanism...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2019, 14(12): 121004.
Paper No: CND-19-1114
Published Online: October 7, 2019
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021013.
Paper No: CND-13-1309
Published Online: March 1, 2015
... power index as that predicted by the pseudo-Anosov map matrix. chaos mixing modeling computation chaotic advection Laminar mixing is important in many industrial sectors, from food production to the controllable manufacture of polymer blends and composites to biological applications...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021010.
Published Online: January 9, 2012
...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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021004.
Published Online: January 6, 2012
.... Pol. B , 35 ( 9 ), pp. 2175 – 2197 . 19 Leontitsis , A. , Bountis , T. , and Pagge , J. , 2004 , “ An Adaptive Way for Improving Noise Reduction Using Local Geometric Projection ,” Chaos , 14 ( 1 ), pp. 106 – 110 . 10.1063/1.1622354 20 Signorini , M. G...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021001.
Published Online: December 22, 2011
.... ( Q 0 = 0 . 4 , M = 1 . 0 , m = 0 . 001 , and d = 0 . 15 . ) 17 03 2011 31 07 2011 22 12 2011 22 12 2011 bifurcation chaos nonlinear dynamical systems In 2004, Giusepponi et al. [( 30 )] used the asynchronous sampling...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011014.
Published Online: November 10, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011013.
Published Online: October 24, 2011
... 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. An inverted pendulum This reaction is related to the mechanical properties of the soil. The coefficients...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011005.
Published Online: August 9, 2011
... of various wavelet functions are discussed. Application of continuous wavelet transform to the investigation of transitional and chaotic phenomena in nonlinear dynamics is illustrated and discussed. 28 11 2008 16 05 2011 09 08 2011 09 08 2011 beams (structures) chaos finite...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041006.
Published Online: April 12, 2011
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031012.
Published Online: February 2, 2011
... to confirm the validity of the analytical results of the paper. 18 09 2010 16 11 2010 02 02 2011 02 02 2011 chaos closed loop systems feedback stability fractional-order system chaotic system static output feedback control stabilization Today, it has been known...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021013.
Published Online: November 15, 2010
.... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2011, 6(1): 011001.
Published Online: September 27, 2010
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2010, 5(4): 041012.
Published Online: August 12, 2010
... 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...