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Volumn 75, Issue 16, 2002, Pages 1243-1259

Bifurcations in piecewise-smooth feedback systems

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PHASE SPACE METHODS; POWER CONVERTERS; VOLTAGE CONTROL;

EID: 0037126508     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/0020717021000023681     Document Type: Article
Times cited : (56)

References (38)
  • 2
    • 0000780796 scopus 로고    scopus 로고
    • Border collision bifurcations in two-dimensional piecewise smooth maps
    • Banerjee, S., and Grebogi, C., 1999, Border collision bifurcations in two-dimensional piecewise smooth maps. Physical Review E, 59, 4052-4061.
    • (1999) Physical Review E , vol.59 , pp. 4052-4061
    • Banerjee, S.1    Grebogi, C.2
  • 6
    • 0346688041 scopus 로고    scopus 로고
    • On the origin and bifurcations of stick-slip oscillations
    • Dankowicz, H., and Nordmark, A. B., 1999, On the origin and bifurcations of stick-slip oscillations. Physica D, 136, 280-302.
    • (1999) Physica D , vol.136 , pp. 280-302
    • Dankowicz, H.1    Nordmark, A.B.2
  • 7
    • 0000814490 scopus 로고    scopus 로고
    • Observing and modeling nonlinear dynamics in an internal combustion engine
    • Daw, C. S., Kennel, M. B., Finney, C. E. A., and Connolly, F. T., 1998, Observing and modeling nonlinear dynamics in an internal combustion engine. Physical Review E, 57(3), 2811-2819.
    • (1998) Physical Review E , vol.57 , Issue.3 , pp. 2811-2819
    • Daw, C.S.1    Kennel, M.B.2    Finney, C.E.A.3    Connolly, F.T.4
  • 8
    • 0033725396 scopus 로고    scopus 로고
    • Controlling switching systems: A bifurcation approach
    • di Bernardo, M., 2000, Controlling switching systems: a bifurcation approach. Proceedings of IEEE ISCAS 2000, pp. 377-381.
    • (2000) Proceedings of IEEE ISCAS 2000 , pp. 377-381
    • Di Bernardo, M.1
  • 9
    • 0033878158 scopus 로고    scopus 로고
    • On discrete time maps for the analysis of bifurcations and chaos in dc/dc converters
    • di Bernardo, M., and Vasca, F., 2000, On discrete time maps for the analysis of bifurcations and chaos in dc/dc converters. IEEE Transactions on Circuits and Systems-I, 47(2), 130-143.
    • (2000) IEEE Transactions on Circuits and Systems-I , vol.47 , Issue.2 , pp. 130-143
    • Di Bernardo, M.1    Vasca, F.2
  • 10
    • 0041822709 scopus 로고    scopus 로고
    • Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the DC/DC buck converter
    • di Bernardo, M., Budd, C. J., and Champneys, A. R., 1998, Grazing, skipping and sliding: analysis of the nonsmooth dynamics of the DC/DC buck converter. Nonlinearity, 11, 858-890.
    • (1998) Nonlinearity , vol.11 , pp. 858-890
    • Di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 11
    • 0035877127 scopus 로고    scopus 로고
    • Corner-collision implies border-collision bifurcation
    • di Bernardo, M., Budd, C. J., and Champneys, A. R., 2001a, Corner-collision implies border-collision bifurcation. Physica D, 154, 171-194.
    • (2001) Physica D , vol.154 , pp. 171-194
    • Di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 12
    • 0035911618 scopus 로고    scopus 로고
    • Unified framework for the analysis of grazing and border-collisions in piecewise-smooth systems
    • di Bernardo, M., Budd, C. J., and Champneys, A. R., 2001b, Unified framework for the analysis of grazing and border-collisions in piecewise-smooth systems. Physical Review Letters, 86(12), 2554-2556.
    • (2001) Physical Review Letters , vol.86 , Issue.12 , pp. 2554-2556
    • Di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 13
    • 0033229544 scopus 로고    scopus 로고
    • Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems
    • di Bernardo, M., Feigin, M. I., Hogan, S. J., and Homer, M. E., 1999, Local analysis of C-bifurcations in n-dimensional piecewise smooth dynamical systems. Chaos, Solitons and Fractals, 10, 1881-1908.
    • (1999) Chaos, Solitons and Fractals , vol.10 , pp. 1881-1908
    • Di Bernardo, M.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 16
    • 0037105976 scopus 로고    scopus 로고
    • Bifurcations of dynamical systems with sliding: Derivation of normal form maps
    • di Bernardo, M., Kowalczyk, P., and Nordmark, A. B., 2002, Bifurcations of dynamical systems with sliding: derivation of normal form maps Physica D, 170, 175-205.
    • (2002) Physica D , vol.170 , pp. 175-205
    • Di Bernardo, M.1    Kowalczyk, P.2    Nordmark, A.B.3
  • 17
    • 0000863642 scopus 로고
    • Doubling of the oscillation period with c-bifurcations in piecewise continuous systems
    • Feigin, M. I., 1970, Doubling of the oscillation period with c-bifurcations in piecewise continuous systems. PMM, 34, 861-869.
    • (1970) PMM , vol.34 , pp. 861-869
    • Feigin, M.I.1
  • 18
    • 0000516779 scopus 로고
    • On the generation of sets of subharmonic modes in a piecewise continuous system
    • Feigin, M. I., 1974, On the generation of sets of subharmonic modes in a piecewise continuous system. PMM, 38, 810-818.
    • (1974) PMM , vol.38 , pp. 810-818
    • Feigin, M.I.1
  • 23
    • 0029255636 scopus 로고
    • A robust hybrid stabilization strategy for equilibria
    • Guckenheimer, J., 1995, A robust hybrid stabilization strategy for equilibria. IEEE Transactions on Automatic Control, 40(2), 321-326.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.2 , pp. 321-326
    • Guckenheimer, J.1
  • 28
    • 0003893213 scopus 로고    scopus 로고
    • Bifurcations in discontinuous mechanical systems of Filippov-type
    • PhD thesis, Technische Universiteit Eindhoven
    • Leine, R. I., 2000, Bifurcations in discontinuous mechanical systems of Filippov-type. PhD thesis, Technische Universiteit Eindhoven.
    • (2000)
    • Leine, R.I.1
  • 31
    • 0026419524 scopus 로고
    • Non-periodic motion caused by grazing incidence in impact oscillators
    • Nordmark, A. B., 1991, Non-periodic motion caused by grazing incidence in impact oscillators. Journal of Sound and Vibration, 2, 279-297.
    • (1991) Journal of Sound and Vibration , vol.2 , pp. 279-297
    • Nordmark, A.B.1
  • 32
    • 44049121950 scopus 로고
    • Border-collision bifurcations including 'period two to period three' for piecewise smooth systems
    • Nusse, H. E., and Yorke, J. A., 1992, Border-collision bifurcations including 'period two to period three' for piecewise smooth systems. Physica D, 57, 39-57.
    • (1992) Physica D , vol.57 , pp. 39-57
    • Nusse, H.E.1    Yorke, J.A.2
  • 33
    • 4344639901 scopus 로고
    • Border-collision bifurcations for piece-wise smooth one-dimensional maps
    • Nusse, H. E., and Yorke, J. A., 1995, Border-collision bifurcations for piece-wise smooth one-dimensional maps. International Journal of Bifurcation and Chaos, 5, 189-207.
    • (1995) International Journal of Bifurcation and Chaos , vol.5 , pp. 189-207
    • Nusse, H.E.1    Yorke, J.A.2
  • 34
    • 51249163979 scopus 로고
    • Dynamical behaviour of friction oscillators with simultaneous self and external excitation
    • Popp, K., Hinrichs, N., and Oestreich, M., 1995, Dynamical behaviour of friction oscillators with simultaneous self and external excitation. Sadhana (Indian Academy of Sciences), 20, 627-654.
    • (1995) Sadhana (Indian Academy of Sciences) , vol.20 , pp. 627-654
    • Popp, K.1    Hinrichs, N.2    Oestreich, M.3
  • 36


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.