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Keywords: Hopf bifurcation
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111005.
Paper No: CND-20-1078
Published Online: September 28, 2020
... of multiple delays on the local stability and Hopf bifurcation of the system are explored by selecting the sum of delays as bifurcation parameter and discussing the related characteristic equations. It is found that the dynamic behaviors of the system depend on the critical value of bifurcation. In addition...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. March 2020, 15(3): 034501.
Paper No: CND-19-1130
Published Online: January 16, 2020
....com 16 04 2019 20 11 2019 16 01 2020 fractional-order system delays food chain model Hopf bifurcation Since the seminal work on the susceptible-infective-removal epidemic model and predator–prey model, mathematical biology has been intensively investigated...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2019, 14(10): 101008.
Paper No: CND-18-1447
Published Online: September 9, 2019
... trajectory solutions. e-mail:  erik.chumacero@ttu.edu e-mail:  james.yang@ttu.edu e-mail:  james.chagdes@miamioh.edu 03 10 2018 16 01 2019 09 09 2019 human upright posture stability balance board numerical nonlinear analysis Hopf bifurcation pitchfork bifurcation DDE...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2019, 14(7): 071004.
Paper No: CND-18-1185
Published Online: May 13, 2019
... ONLINEAR D YNAMICS . Manuscript received April 24, 2018; final manuscript received March 26, 2019; published online May 13, 2019. Assoc. Editor: Eihab Abdel-Rahman. 24 04 2018 26 03 2019 chaotic jerk oscillator Hopf bifurcation self-excited and hidden attractors antimonotonicity...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2019, 14(5): 051005.
Paper No: CND-18-1199
Published Online: March 14, 2019
... the suspension and steering system. Based on the dynamic model, the Hopf bifurcation theory is used to qualitatively analyze the existence of the limit cycle for the vehicle shimmy system, and the multiple limit cycle shimmy phenomenon is successfully reproduced using a numerical method. Moreover, the effect...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011005.
Paper No: CND-14-1087
Published Online: June 30, 2015
...-domain simulations are performed to investigate LCOs while continuation tools are employed to path follow the post-critical LCOs. A supercritical Hopf bifurcation behavior, confirmed by a stable LCO, is found past the critical flutter condition. The analysis shows that the LCO amplitude increases...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2015, 10(3): 031012.
Paper No: CND-13-1171
Published Online: May 1, 2015
.... Assoc. Editor: Dr. Corina Sandu. 07 07 2013 12 05 2014 11 02 2015 Roller rig tests were adopted to illustrate two typical types of Hopf bifurcations existing in the railway vehicles. In order to investigate the influence of the vehicles' parameters on the features of Hopf...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021007.
Paper No: CND-13-1239
Published Online: March 1, 2015
... the values of the connecting spring constants may affect the excitation frequency range of ILMs and cause Hopf bifurcation to occur, followed by amplitude modulated motions (AMMs) including chaotic vibrations. The influence of the imperfections of the pendula on the system response is also investigated...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2014, 9(2): 021003.
Paper No: CND-12-1138
Published Online: September 12, 2013
... Hopf bifurcation of a fixed point in the FPSE system. If done successfully, the system can operate in a stable limit cycle, displaying self-stabilizing oscillatory behavior with unique amplitude. One can build upon this knowledge in order to improve methods of controlling the engine amplitude...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041009.
Paper No: CND-12-1211
Published Online: March 26, 2013
... hard- and soft-type nonlinearities on the appearance of the ILMs are examined. Increasing the values of the connecting spring constants may cause Hopf bifurcation followed by amplitude modulated motion (AMM) including chaotic vibrations. The influence of the imperfection of an oscillator is also...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2013, 8(1): 011007.
Paper No: CND-11-1167
Published Online: June 14, 2012
... on the excitation frequency, there are three patterns of sloshing: (i) both (1,0) and (0,1) sloshing modes appear at identical amplitudes; (ii) these two modes appear at different amplitudes; and (iii) either (1,0) or (0,1) mode appears. Small deviations of the tuning condition may cause Hopf bifurcations to occur...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2010, 5(2): 021012.
Published Online: March 2, 2010
... vibrate at low amplitudes, even if the dimensions of the NTMDs are identical. Namely, “localization phenomenon” or “mode localization” occurs. After the pitchfork bifurcation, Hopf bifurcations may occur depending on the values of the system parameters, and amplitude- and phase-modulated motions...