메뉴 건너뛰기




Volumn 139, Issue 2, 1997, Pages 237-260

The Period Function for Hamiltonian Systems with Homogeneous Nonlinearities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000415618     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3296     Document Type: Article
Times cited : (46)

References (20)
  • 3
    • 84975974337 scopus 로고
    • Limit cycles of a class of polynomial systems
    • Carbonell M., Llibre J. Limit cycles of a class of polynomial systems. Proc. Roy. Soc. Edinburgh A. 109:1988;187-199.
    • (1988) Proc. Roy. Soc. Edinburgh a , vol.109 , pp. 187-199
    • Carbonell, M.1    Llibre, J.2
  • 4
    • 0000643336 scopus 로고
    • Number of limit cycles of an aotonomous second-order system
    • Cherkas L. A. Number of limit cycles of an aotonomous second-order system. Differential Equations. 5:1976;666-668.
    • (1976) Differential Equations , vol.5 , pp. 666-668
    • Cherkas, L.A.1
  • 5
    • 0000539993 scopus 로고
    • Bifurcations of critical periods for plane vector fields
    • Chicone C., Jacobs M. Bifurcations of critical periods for plane vector fields. Trans. Amer. Math. Soc. 312:1989;433-486.
    • (1989) Trans. Amer. Math. Soc. , vol.312 , pp. 433-486
    • Chicone, C.1    Jacobs, M.2
  • 6
    • 0039971668 scopus 로고    scopus 로고
    • Isochronous centres in planar polynomial systems
    • Christopher C. J., Devlin J. Isochronous centres in planar polynomial systems. SIAM J. Math. Anal. 28:1997;162-177.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 162-177
    • Christopher, C.J.1    Devlin, J.2
  • 8
    • 0031509821 scopus 로고    scopus 로고
    • Differential equations defined by the sum of two quasi-homogeneous vector fields
    • Coll B., Gasull A., Prohens R. Differential equations defined by the sum of two quasi-homogeneous vector fields. Can. J. Math. 49:1997;212-231.
    • (1997) Can. J. Math. , vol.49 , pp. 212-231
    • Coll, B.1    Gasull, A.2    Prohens, R.3
  • 9
    • 0041177047 scopus 로고    scopus 로고
    • The period function of some polynomial systems of arbitrary degree
    • Collins C. B. The period function of some polynomial systems of arbitrary degree. Differential Integral Equations. 9:1996;251-266.
    • (1996) Differential Integral Equations , vol.9 , pp. 251-266
    • Collins, C.B.1
  • 10
    • 0007133715 scopus 로고
    • Centers of quadratic systems
    • Conti R. Centers of quadratic systems. Ricerche di Mat. Suppl. 36:1987;117-126.
    • (1987) Ricerche di Mat. Suppl. , vol.36 , pp. 117-126
    • Conti, R.1
  • 13
    • 0012995954 scopus 로고    scopus 로고
    • Coexisting isochronous and nonisochronous centres
    • Devlin J. Coexisting isochronous and nonisochronous centres. Bull. London Math. Soc. 28:1996;495-500.
    • (1996) Bull. London Math. Soc. , vol.28 , pp. 495-500
    • Devlin, J.1
  • 14
    • 0002368273 scopus 로고
    • Centre and isochronocity conditions for systems with homogeneous nonlinearities
    • 116, Press. Univ. de Perpignan, Perpinyà
    • A. Gasull, A. Guillamon, V. Mañosa, 1995, Centre and isochronocity conditions for systems with homogeneous nonlinearities, Proceedings of the 2nd Catalan Days of Applied Mathematics, 105, 116, Press. Univ. de Perpignan, Perpinyà
    • (1995) Proceedings of the 2nd Catalan Days of Applied Mathematics , vol.105
    • Gasull, A.1    Guillamon, A.2    Mañosa, V.3
  • 15
    • 0031172970 scopus 로고    scopus 로고
    • An explicit expression of the first Liapunov and period constants with applications
    • Gasull A., Guillamon A., Mañosa V. An explicit expression of the first Liapunov and period constants with applications. J. Math. Anal. 1997.
    • (1997) J. Math. Anal.
    • Gasull, A.1    Guillamon, A.2    Mañosa, V.3
  • 16
    • 0040582942 scopus 로고    scopus 로고
    • Li, Ji-Bin, 1988
    • Li, Ji-Bin, 1988.
  • 17
    • 0002487294 scopus 로고
    • Behavior of the period of solutions of certain plane autonomous systems near centres
    • Loud W. S. Behavior of the period of solutions of certain plane autonomous systems near centres. Contrib. Differential Equations. 3:1964;21-36.
    • (1964) Contrib. Differential Equations , vol.3 , pp. 21-36
    • Loud, W.S.1
  • 19
    • 0001639716 scopus 로고
    • A new method of investigating the isochronicity of a system of two differential equations
    • Pleshkan I. I. A new method of investigating the isochronicity of a system of two differential equations. Differential Equations. 5:1969;796-802.
    • (1969) Differential Equations , vol.5 , pp. 796-802
    • Pleshkan, I.I.1
  • 20
    • 0003116369 scopus 로고    scopus 로고
    • Sur la forme normale de Birkhoff et les centres isochrones
    • Schuman B. Sur la forme normale de Birkhoff et les centres isochrones. C. R. Acad. Sci. Paris I. 322:1996;21-24.
    • (1996) C. R. Acad. Sci. Paris I , vol.322 , pp. 21-24
    • Schuman, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.