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Volumn 8, Issue 5, 2007, Pages 1561-1568

Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis

Author keywords

Energy analysis; Hopf bifurcation; Stability; Time delay

Indexed keywords

HOPF BIFURCATION; MACHINE TOOLS; STABILITY; TIME DELAY;

EID: 34547115964     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.07.005     Document Type: Article
Times cited : (12)

References (11)
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    • Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter
    • Gilsinn D.E. Estimating critical Hopf bifurcation parameters for a second-order delay differential equation with application to machine tool chatter. Nonlinear Dyn. 30 (2002) 103-154
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  • 5
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  • 6
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    • Experimental characterization of quasi-periodicity and chaos in a mechanical system with delay
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    • Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
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    • Kalmár-Nagy, T.1    Stepán, G.2    Moon, F.C.3
  • 9
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    • Perturbation methods in nonlinear dynamics-applications to machining dynamics
    • Nayfeh A.H., Chin C.-M., and Pratt J.R. Perturbation methods in nonlinear dynamics-applications to machining dynamics. Trans. ASME: J. Manuf. Sci. Eng. 119 (1997) 485-493
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  • 10
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  • 11
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    • Z.H. Wang, H.Y. Hu, Pseudo-oscillator analysis of scalar nonlinear dynamics with time delays near a Hopf bifurcation, Int. J. Bifurcation Chaos (2005), submitted.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.