메뉴 건너뛰기




Volumn 69, Issue 10, 2008, Pages 3610-3628

Bifurcation of periodic orbits in a class of planar Filippov systems

Author keywords

Bifurcation; Filippov system; Non smooth system; Periodic orbit; Poincar map

Indexed keywords

COMPUTER NETWORKS;

EID: 51349120588     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.09.045     Document Type: Article
Times cited : (59)

References (36)
  • 5
    • 0041822709 scopus 로고    scopus 로고
    • Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the dc/dc buck converter
    • Bernardo M.D., Budd C.J., and Champneys A.R. Grazing, skipping and sliding: Analysis of the nonsmooth dynamics of the dc/dc buck converter. Nonlinearity 11 (1998) 859-890
    • (1998) Nonlinearity , vol.11 , pp. 859-890
    • Bernardo, M.D.1    Budd, C.J.2    Champneys, A.R.3
  • 6
    • 0033229544 scopus 로고    scopus 로고
    • Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems
    • Bernardo M.D., Feigin M.I., Hogan S.J., and Homer M.E. Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems. Chaos Solitons Fractals 10 11 (1999) 1881-1908
    • (1999) Chaos Solitons Fractals , vol.10 , Issue.11 , pp. 1881-1908
    • Bernardo, M.D.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 8
    • 0346910377 scopus 로고    scopus 로고
    • Sliding bifurcations: A novel mechanism for the sudden onset of chaos in dry friction oscillators
    • Bernardo M.D., Kowalczyk P., and Nordmark A.B. Sliding bifurcations: A novel mechanism for the sudden onset of chaos in dry friction oscillators. Int. J. Bifurcation Chaos Appl. Sci. Eng. 13 (2003) 2935-2948
    • (2003) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.13 , pp. 2935-2948
    • Bernardo, M.D.1    Kowalczyk, P.2    Nordmark, A.B.3
  • 10
    • 0004630984 scopus 로고    scopus 로고
    • Non-smooth dynamical systems and the grazing bifurcation
    • Cambridge Univ. Press, Cambridge
    • Budd C.J. Non-smooth dynamical systems and the grazing bifurcation. Nonlinear Mathematics and its Applications (Guildford, 1995) (1996), Cambridge Univ. Press, Cambridge 219-235
    • (1996) Nonlinear Mathematics and its Applications (Guildford, 1995) , pp. 219-235
    • Budd, C.J.1
  • 11
    • 0039472056 scopus 로고
    • Bifurcation of nonlinear oscillations and frequency entrainment near resonance
    • Chicone C. Bifurcation of nonlinear oscillations and frequency entrainment near resonance. SIAM J. Math. Anal. 23 (1992) 1577-1608
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1577-1608
    • Chicone, C.1
  • 13
    • 0346688041 scopus 로고    scopus 로고
    • On the origin and bifurcations of stick-slip oscillators
    • Dankowicz H., and Nordmark A.B. On the origin and bifurcations of stick-slip oscillators. Physica D 136 (2000) 280-302
    • (2000) Physica D , vol.136 , pp. 280-302
    • Dankowicz, H.1    Nordmark, A.B.2
  • 14
    • 32844461037 scopus 로고    scopus 로고
    • Control of near-grazing dynamics in impact oscillators
    • Dankowicz H., and Jerrelind J. Control of near-grazing dynamics in impact oscillators. Proc. R. Soc. Lond. Ser. A 461 (2005) 3365-3380
    • (2005) Proc. R. Soc. Lond. Ser. A , vol.461 , pp. 3365-3380
    • Dankowicz, H.1    Jerrelind, J.2
  • 15
    • 34247327445 scopus 로고    scopus 로고
    • Type I periodic motions for nonlinear impact oscillators
    • Du Z., Li Y., and Zhang W. Type I periodic motions for nonlinear impact oscillators. Nonlinear Anal. Ser. A 67 (2007) 1344-1358
    • (2007) Nonlinear Anal. Ser. A , vol.67 , pp. 1344-1358
    • Du, Z.1    Li, Y.2    Zhang, W.3
  • 16
    • 27344439701 scopus 로고    scopus 로고
    • Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
    • Du Z., and Zhang W. Melnikov method for homoclinic bifurcation in nonlinear impact oscillators. Comput. Math. Appl. 50 (2005) 445-458
    • (2005) Comput. Math. Appl. , vol.50 , pp. 445-458
    • Du, Z.1    Zhang, W.2
  • 17
    • 29144511273 scopus 로고    scopus 로고
    • The focus-center-limit cycle bifurcation in symmetric 3D piecewise linear systems
    • Freire E., Ponce E., and Ros J. The focus-center-limit cycle bifurcation in symmetric 3D piecewise linear systems. SIAM J. Appl. Math. 65 (2005) 1933-1951
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1933-1951
    • Freire, E.1    Ponce, E.2    Ros, J.3
  • 18
    • 0000863642 scopus 로고
    • Doubling of the oscillation period with C-bifurcations in piecewise continuous systems
    • Feigin M.I. Doubling of the oscillation period with C-bifurcations in piecewise continuous systems. Prikl. Math. Mekh. 34 (1970) 861-869
    • (1970) Prikl. Math. Mekh. , vol.34 , pp. 861-869
    • Feigin, M.I.1
  • 23
    • 33947157233 scopus 로고    scopus 로고
    • Melnikov method for discontinuous planar systems
    • Kukučka P. Melnikov method for discontinuous planar systems. Nonlinear Anal. Ser. A 66 (2007) 2698-2719
    • (2007) Nonlinear Anal. Ser. A , vol.66 , pp. 2698-2719
    • Kukučka, P.1
  • 25
    • 33746762930 scopus 로고    scopus 로고
    • Bifurcation phenomena in non-smooth dynamical systems
    • Leine R.I., and van Campen D.H. Bifurcation phenomena in non-smooth dynamical systems. Eur. J. Mech. A Solids 25 (2006) 595-616
    • (2006) Eur. J. Mech. A Solids , vol.25 , pp. 595-616
    • Leine, R.I.1    van Campen, D.H.2
  • 27
    • 39749160038 scopus 로고    scopus 로고
    • Y. Li, Z. Du, W. Zhang, Asymmetric type II periodic motions for nonlinear impact oscillators, Nonlinear Anal. Ser. A, in press (doi:10.1016/j.na.2007.02.015)
    • Y. Li, Z. Du, W. Zhang, Asymmetric type II periodic motions for nonlinear impact oscillators, Nonlinear Anal. Ser. A, in press (doi:10.1016/j.na.2007.02.015)
  • 28
    • 0348163870 scopus 로고    scopus 로고
    • Local stability of limit cycles for MIMO relay feedback systems
    • Lin C., Wang Q.-G., and Lee T.H. Local stability of limit cycles for MIMO relay feedback systems. J. Math. Anal. Appl. 288 (2003) 112-123
    • (2003) J. Math. Anal. Appl. , vol.288 , pp. 112-123
    • Lin, C.1    Wang, Q.-G.2    Lee, T.H.3
  • 29
    • 0347572319 scopus 로고    scopus 로고
    • Bifurcations and chaos in a system with impacts
    • Luo G., and Xie J. Bifurcations and chaos in a system with impacts. Physica D 148 (2001) 183-200
    • (2001) Physica D , vol.148 , pp. 183-200
    • Luo, G.1    Xie, J.2
  • 30
    • 44049121950 scopus 로고
    • Border-collision bifurcations including "period two to period three" for piecewise smooth systems
    • Nusse H.E., and Yorke J.A. Border-collision bifurcations including "period two to period three" for piecewise smooth systems. Physica D 57 (1992) 39-57
    • (1992) Physica D , vol.57 , pp. 39-57
    • Nusse, H.E.1    Yorke, J.A.2
  • 35
    • 18444363345 scopus 로고    scopus 로고
    • Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems
    • Zou Y., and Küpper T. Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems. Nonlinear Anal. Ser. A 62 (2005) 1-17
    • (2005) Nonlinear Anal. Ser. A , vol.62 , pp. 1-17
    • Zou, Y.1    Küpper, T.2
  • 36
    • 84867977730 scopus 로고    scopus 로고
    • Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
    • Zou Y., Küpper T., and Beyn W.-J. Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. J. Nonlinear Sci. 16 (2006) 159-177
    • (2006) J. Nonlinear Sci. , vol.16 , pp. 159-177
    • Zou, Y.1    Küpper, T.2    Beyn, W.-J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.