메뉴 건너뛰기




Volumn 129, Issue 6, 2005, Pages 457-485

Fractal analysis of spiral trajectories of some planar vector fields

Author keywords

Box dimension; Hopf Takens bifurcation; Minkowski content; Minkowski measurability; Planar vector field; Spiral

Indexed keywords


EID: 19544381144     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulsci.2004.11.007     Document Type: Article
Times cited : (39)

References (16)
  • 3
    • 84896693375 scopus 로고    scopus 로고
    • Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations
    • submitted for publication
    • M. Caubergh, J.P. Françoise, Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations, in: Qualitative Theory of Dynamical Systems, submitted for publication
    • Qualitative Theory of Dynamical Systems
    • Caubergh, M.1    Françoise, J.P.2
  • 5
    • 0031138855 scopus 로고    scopus 로고
    • Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function
    • C.Q. He M.L. Lapidus Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function Mem. Amer. Math. Soc. 127 608 1997
    • (1997) Mem. Amer. Math. Soc. , vol.127 , Issue.608
    • He, C.Q.1    Lapidus, M.L.2
  • 6
    • 14844296989 scopus 로고    scopus 로고
    • Maximally singular Sobolev functions
    • submitted for publication
    • L. Horvat, D. Žubrinić, Maximally singular Sobolev functions, J. Math. Anal. Appl., submitted for publication
    • J. Math. Anal. Appl.
    • Horvat, L.1    Žubrinić, D.2
  • 7
    • 84963042079 scopus 로고
    • The Riemann zeta-function and the one-dimensional Weyl-Berry conjecture for fractal drums
    • M.L. Lapidus C. Pomerance The Riemann zeta-function and the one-dimensional Weyl-Berry conjecture for fractal drums Proc. London Math. Soc. (3) 66 1 1993 41-69
    • (1993) Proc. London Math. Soc. (3) , vol.66 , Issue.1 , pp. 41-69
    • Lapidus, M.L.1    Pomerance, C.2
  • 10
    • 0037691742 scopus 로고    scopus 로고
    • Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian
    • M. Pašić Minkowski-Bouligand dimension of solutions of the one-dimensional p-Laplacian J. Differential Equations 190 2003 268-305
    • (2003) J. Differential Equations , vol.190 , pp. 268-305
    • Pašić, M.1
  • 11
    • 3042544077 scopus 로고    scopus 로고
    • Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian
    • M. Pašić V. Županović Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian Electronic J. Differential Equations 60 2004 1-25
    • (2004) Electronic J. Differential Equations , vol.60 , pp. 1-25
    • Pašić, M.1    Županović, V.2
  • 12
    • 0000857092 scopus 로고
    • Unfoldings of certain singularities of vector fields: Generalized Hopf bifurcations
    • F. Takens Unfoldings of certain singularities of vector fields: Generalized Hopf bifurcations J. Differential Equations 14 1973 476-493
    • (1973) J. Differential Equations , vol.14 , pp. 476-493
    • Takens, F.1
  • 15
    • 0037410913 scopus 로고    scopus 로고
    • Minkowski content and singular integrals
    • D. Žubrinić Minkowski content and singular integrals Chaos, Solitons, Fractals 17 1 2003 169-177
    • (2003) Chaos, Solitons, Fractals , vol.17 , Issue.1 , pp. 169-177
    • Žubrinić, D.1
  • 16
    • 19544370622 scopus 로고    scopus 로고
    • Analysis of Minkowski contents of fractal sets and applications
    • Preprint
    • D. Žubrinić, Analysis of Minkowski contents of fractal sets and applications, Preprint
    • Žubrinić, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.