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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
... human upright posture stability balance board numerical nonlinear analysis Hopf bifurcation pitchfork bifurcation DDE-BifTool® Balance boards (BBs) are surfaces that rotate with their center of mass (CoM) located above their pivot-point and used commonly to rehabilitate people with balance...
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
... 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
...Xingwen Wu; Maoru Chi In this section, the roller rig tests were adopted to illustrate two typical types of Hopf bifurcations for two different railway vehicles. Figure 2 indicates the photos of two railway vehicles on the Chengdu roller rig test bench. These two kinds of high-speed railway...
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
.... To this end, in this article, it is investigated as to how to engineer Hopf bifurcations of an equilibrium solution in the β and double acting α FPSE configurations that could lead to attracting periodic solutions. Weakly nonlinear analyses are conducted and analytical relations governing the periodic motions...
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
... constants may cause Hopf bifurcation followed by amplitude modulated motion (AMM) including chaotic vibrations. The influence of the imperfection of an oscillator is also investigated. Bifurcation sets are calculated to show the influence of the system parameters on the excitation frequency range of ILMs...
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
... that as the excitation frequency decreases, branches a i separate into stable and unstable portions and occur at an extremely narrow excitation frequency. Furthermore, Hopf bifurcation points occur followed by a very narrow range of AMM on branches b i . Fig. 16 Same as Fig. 4 , but F 0  = 0.0010...
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...