1-13 of 13
Keywords: Hopf bifurcation
Close
Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2023, 18(8): 081005.
Paper No: CND-22-1268
Published Online: May 4, 2023
.... Furthermore, we perform a nonlinear analysis of the system and observe the existence of sub and supercritical Hopf bifurcation with or without any nonlinearity in the friction isolator. However, the region of sub and supercritical Hopf bifurcation on stability curves depends on the nonlinearity in FI...
Journal Articles
Publisher: ASME
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
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2019, 14(10): 101008.
Paper No: CND-18-1447
Published Online: September 9, 2019
...-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-BifTool® Balance boards (BBs) are surfaces that rotate with their center of mass (CoM) located...
Journal Articles
Publisher: ASME
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
Publisher: ASME
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
Publisher: ASME
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
Publisher: ASME
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
Publisher: ASME
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
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2014, 9(2): 021003.
Paper No: CND-12-1138
Published Online: September 12, 2013
.... , and Balachandran , B. , 1995 , Applied Nonlinear Dynamics , John Wiley and Sons , New York . [9] Nayfeh , A. H. , and Balachandran , B. , 1990 , “ Motion Near a Hopf Bifurcation of a Three-Dimensional System ,” Mech. Res. Commun. , 17 ( 4 ), pp. 191 – 198 . 10.1016/0093-6413(90)90078-Q...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2013, 8(4): 041009.
Paper No: CND-12-1211
Published Online: March 26, 2013
... ¯ i elongate, and ILMs occur at a wider excitation frequency range than in Fig. 12 . Hopf bifurcations occur at points G ¯ i and H ¯ i on branches b ¯ i , and AMMs appear over interval G ¯ i H ¯ i...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2013, 8(1): 011007.
Paper No: CND-11-1167
Published Online: June 14, 2012
...) that amplitude modulated motions (AMMs) appear within these portions and the vertical thin line “|” denotes the magnitude of the modulated amplitudes. Therefore, it is concluded that points I i and J i are Hopf bifurcation points. The results of the numerical simulation are plotted only when (1,0) mode...
Journal Articles
Publisher: ASME
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...