메뉴 건너뛰기




Volumn 128, Issue 2, 2005, Pages 2767-2773

On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21544446405     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-005-0228-6     Document Type: Conference Paper
Times cited : (10)

References (15)
  • 1
    • 0002040493 scopus 로고    scopus 로고
    • On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points
    • S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional analytic area-preserving diffeomorphisms with infinitely many stable elliptic periodic points," Regul. Chaotic Dyn., 2, Nos. 3/4, 106-123 (1997).
    • (1997) Regul. Chaotic Dyn. , vol.2 , Issue.3-4 , pp. 106-123
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 2
    • 0034287926 scopus 로고    scopus 로고
    • On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands
    • S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands," J. Statist. Phys., 101, Nos. 1/2, 321-356 (2000).
    • (2000) J. Statist. Phys. , vol.101 , Issue.1-2 , pp. 321-356
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 3
    • 0039355855 scopus 로고
    • Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory
    • S. V. Gonchenko and L. P. Shilnikov, "Invariants of Ω-conjugacy of diffeomorphisms with a structurally unstable homoclinic trajectory," Ukrainian Math. J., 42, no. 2, 134-140 (1990).
    • (1990) Ukrainian Math. J. , vol.42 , Issue.2 , pp. 134-140
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 4
    • 84970084626 scopus 로고
    • On moduli of systems with a structurally unstable homoclinic Poincaré curve
    • S. V. Gonchenko and L. P. Shilnikov, "On moduli of systems with a structurally unstable homoclinic Poincaré curve," Izv. Russian Akad. Nauk, 41, 417-445 (1992).
    • (1992) Izv. Russian Akad. Nauk , vol.41 , pp. 417-445
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 5
    • 0001448221 scopus 로고
    • On dynamical systems with structurally unstable homoclinic curves
    • S. V. Gonchenko and L. P. Shilnikov, "On dynamical systems with structurally unstable homoclinic curves," Soviet Math. Dokl., 33, no. 1, 234-238 (1986).
    • (1986) Soviet Math. Dokl. , vol.33 , Issue.1 , pp. 234-238
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 6
    • 33947614412 scopus 로고
    • Arithmetic properties of topological invariants of systems with a structurally unstable homoclinic trajectory
    • S. V. Gonchenko and L. P. Shilnikov, "Arithmetic properties of topological invariants of systems with a structurally unstable homoclinic trajectory," Ukrainian Math. J., 39, no. 1, 21-28 (1987).
    • (1987) Ukrainian Math. J. , vol.39 , Issue.1 , pp. 21-28
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 7
    • 0040431514 scopus 로고    scopus 로고
    • On two-dimensional area-preserving mappings with homoclinic tangencies
    • S. V. Gonchenko and L. P. Shilnikov, "On two-dimensional area-preserving mappings with homoclinic tangencies," Dokl. Akad. Nauk, 63, no. 3, 395-399 (2001).
    • (2001) Dokl. Akad. Nauk , vol.63 , Issue.3 , pp. 395-399
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 8
    • 0000063614 scopus 로고
    • On a Poincaré-Birkhoff problem
    • L. P. Shilnikov, "On a Poincaré-Birkhoff problem," Math. Sb. (N. S.), 3, 353-371 (1967).
    • (1967) Math. Sb. (N. S.) , vol.3 , pp. 353-371
    • Shilnikov, L.P.1
  • 9
    • 84980087693 scopus 로고
    • The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
    • J. Moser, "The analytic invariants of an area-preserving mapping near a hyperbolic fixed point," Comm. Pure Appl. Math., 9, 673-692 (1956).
    • (1956) Comm. Pure Appl. Math. , vol.9 , pp. 673-692
    • Moser, J.1
  • 10
    • 79955577320 scopus 로고
    • On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I
    • N. K. Gavrilov and L. P. Shilnikov, "On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. I," Math. Sb. (N. S.), 17, 467-485 (1972);
    • (1972) Math. Sb. (N. S.) , vol.17 , pp. 467-485
    • Gavrilov, N.K.1    Shilnikov, L.P.2
  • 11
    • 84914761829 scopus 로고
    • On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. II
    • N. K. Gavrilov and L. P. Shilnikov, "On three-dimensional dynamical systems close to systems with a structurally unstable homoclinic curve. II," Math. Sb. (N. S.), 19, 139-156 (1973).
    • (1973) Math. Sb. (N. S.) , vol.19 , pp. 139-156
    • Gavrilov, N.K.1    Shilnikov, L.P.2
  • 13
    • 21844512730 scopus 로고
    • On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies
    • S. V. Gonchenko and L. P. Shilnikov, "On geometrical properties of two-dimensional diffeomorphisms with homoclinic tangencies," Internat. J. Bifur. Chaos, 5, no. 3, 819-829 (1995).
    • (1995) Internat. J. Bifur. Chaos , vol.5 , Issue.3 , pp. 819-829
    • Gonchenko, S.V.1    Shilnikov, L.P.2
  • 14
    • 0002768228 scopus 로고
    • Strange attractors and quasiattractors
    • G. I. Barenblatt, G. Iooss, and D. D. Joseph (eds.), Pitman, Boston
    • V. S. Afraimovich and L. P. Shilnikov, "Strange attractors and quasiattractors," in: Nonlinear Dynamics and Turbulence, G. I. Barenblatt, G. Iooss, and D. D. Joseph (eds.), Pitman, Boston (1983), pp. 1-34.
    • (1983) Nonlinear Dynamics and Turbulence , pp. 1-34
    • Afraimovich, V.S.1    Shilnikov, L.P.2
  • 15
    • 0002320384 scopus 로고
    • Bifurcations in a two-parameter family of conservative mappings that are close to the Hénon map
    • V. S. Biragov, "Bifurcations in a two-parameter family of conservative mappings that are close to the Hénon map," Selecta Math. Soviet., 9, 273-282 (1990).
    • (1990) Selecta Math. Soviet. , vol.9 , pp. 273-282
    • Biragov, V.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.