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Volumn 303, Issue 1, 2005, Pages 81-89

Does distribution theory contain means for extending Poincaré-Bendixson theory?

Author keywords

Distributions; Piecewise linear systems; Poincar Bendixson theorem

Indexed keywords


EID: 12744277843     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.06.069     Document Type: Article
Times cited : (14)

References (9)
  • 1
    • 0007325771 scopus 로고    scopus 로고
    • Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior
    • D. Boukal V. Křivan Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior Math. Biol. 39 1999 493-517
    • (1999) Math. Biol. , vol.39 , pp. 493-517
    • Boukal, D.1    Křivan, V.2
  • 2
    • 0032047505 scopus 로고    scopus 로고
    • Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    • M. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Trans. Automat. Control 43 1998 475-482
    • (1998) IEEE Trans. Automat. Control , vol.43 , pp. 475-482
    • Branicky, M.1
  • 4
    • 0035511560 scopus 로고    scopus 로고
    • Planar systems of piecewise linear differential equations with a line of discontinuity
    • F. Giannakopoulos K. Pliete Planar systems of piecewise linear differential equations with a line of discontinuity Nonlinearity 14 2001 1611-1632
    • (2001) Nonlinearity , vol.14 , pp. 1611-1632
    • Giannakopoulos, F.1    Pliete, K.2
  • 6
    • 0034262409 scopus 로고    scopus 로고
    • Characterization of well-posedness of piecewise linear systems
    • J. Imura A. van der Schaft Characterization of well-posedness of piecewise linear systems IEEE Trans. Automat. Control 45 2000 1600-1619
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1600-1619
    • Imura, J.1    van der Schaft, A.2
  • 8
    • 0034299647 scopus 로고    scopus 로고
    • Bifurcations in nonlinear discontinuous systems
    • D.v.C.R.I. Leine B. van de Vrande Bifurcations in nonlinear discontinuous systems Nonlinear Dynam. 23 2000 105-164
    • (2000) Nonlinear Dynam. , vol.23 , pp. 105-164
    • Leine, D.V.C.R.I.1    van de Vrande, B.2
  • 9
    • 12744277886 scopus 로고
    • Periodic solutions of a switching dynamical system in the plane
    • G. Villari Z. Zhifen Periodic solutions of a switching dynamical system in the plane Appl. Anal. 1988 177-198
    • (1988) Appl. Anal. , pp. 177-198
    • Villari, G.1    Zhifen, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.