메뉴 건너뛰기




Volumn 3, Issue 4, 1998, Pages 3-26

Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom

Author keywords

[No Author keywords available]

Indexed keywords


EID: 54649084134     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (17)
  • 1
    • 0002040493 scopus 로고    scopus 로고
    • On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points
    • S. V. Gonchenko, L. P. Shilnikov. On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points. Reg. and Chaot. Dyn. 1997. V. 2. No 3/4. P. 106-123.
    • (1997) Reg. and Chaot. Dyn. , vol.2 , Issue.3-4 , pp. 106-123
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 4
    • 0002583282 scopus 로고
    • Kleine Nenner I, Uber invariante Kurven differenzierbarer Abbildungen eines Kreisrings
    • H. Russman. Kleine Nenner I, Uber invariante Kurven differenzierbarer Abbildungen eines Kreisrings. Nachr. Akad. Wiss. Gott. Math. Phys. Kl. 1970. V. II. P. 67-105.
    • (1970) Nachr. Akad. Wiss. Gott. Math. Phys. Kl. , vol.2 , pp. 67-105
    • Russman, H.1
  • 5
    • 0011271968 scopus 로고
    • Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve
    • S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev. Dynamical phenomena in multidimensional systems with a structurally unstable homoclinic Poincaré curve. Russian Acad. Sci. Dokl. Math. 1993. V. 47. P. 410-415.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.47 , pp. 410-415
    • Gonchenko, S.V.1    Shilnikov, L.P.2    Turaev, D.V.3
  • 10
    • 0000063614 scopus 로고
    • On a Poincaré-Birkhoff problem
    • L. P. Shilnikov. On a Poincaré-Birkhoff problem. Math. USSR. Sbornik. 1967. V. 3. P. 353-371.
    • (1967) Math. USSR. Sbornik. , vol.3 , pp. 353-371
    • Shilnikov, L.P.1
  • 11
    • 0002293678 scopus 로고
    • A contribution to the problem of structure of a neighbourhood of a homoclinic tube of invariant torus
    • in Russian
    • L. P. Shilnikov. A contribution to the problem of structure of a neighbourhood of a homoclinic tube of invariant torus. Soviet Math. Dokl. 1968. V. 180. No 2. P. 286-289. (in Russian).
    • (1968) Soviet Math. Dokl. , vol.180 , Issue.2 , pp. 286-289
    • Shilnikov, L.P.1
  • 13
    • 54749085592 scopus 로고
    • English transl.
    • English transl. in Trans. Moscow Math. Soc. 1973. V. 28.
    • (1973) Trans. Moscow Math. Soc. , vol.28
  • 14
    • 84970084626 scopus 로고
    • On moduli of systems with a structurally unstable homoclinic Poincare curve
    • S. V. Gonchenko, L. P. Shilnikov. On moduli of systems with a structurally unstable homoclinic Poincare curve. Russian Acad. Sci. Izv. Math. 1992. V. 41. P. 417-445.
    • (1992) Russian Acad. Sci. Izv. Math. , vol.41 , pp. 417-445
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 15
    • 79955577320 scopus 로고
    • On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I
    • N. K. Gavrilov, L. P. Shilnikov. On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I. Math. USSR Sbornik. 1972. V. 17. P. 467-485;
    • (1972) Math. USSR Sbornik. , vol.17 , pp. 467-485
    • Gavrilov, N.K.1    Shilnikov, L.P.2
  • 17
    • 0005283382 scopus 로고    scopus 로고
    • Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits
    • Gonchenko S. V., Shilnikov L. P., Turaev D. V. Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits. Chaos. 1996. V. 6. No 1. P. 15-31.
    • (1996) Chaos , vol.6 , Issue.1 , pp. 15-31
    • Gonchenko, S.V.1    Shilnikov, L.P.2    Turaev, D.V.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.