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Keywords: chaos
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011008.
Paper No: CND-24-1079
Published Online: December 9, 2024
... chaos, it is not the only method. Several scientists have introduced different methods that utilize various properties of dynamical systems. Hidden Attractors may be chaotic or regular. The fact that they have small basins of attraction introduces difficulties in locating and characterizing them...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121005.
Paper No: CND-23-1280
Published Online: October 3, 2024
... 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...
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
... 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...
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
... 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...
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
... , 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...
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
... 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...
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
... , 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...
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
..., 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021001.
Published Online: December 22, 2011
... ,” 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...
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. 04 10 2010 11 08 2011 24 08 2011 20 10 2011 24 10 2011 aerodynamics chaos drag...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011005.
Published Online: August 9, 2011
... = 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...
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. 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...
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...