메뉴 건너뛰기




Volumn 27, Issue 2, 1998, Pages 331-377

Variational Construction of Homoclinics and Chaos in Presence of a Saddle-Saddle Equilibrium

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0006593312     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (15)
  • 1
    • 0001647335 scopus 로고    scopus 로고
    • Homoclinics: Poincaré-Melnikov type results via a variational approach
    • A. AMBROSETTI - M. BADIALE, Homoclinics: Poincaré-Melnikov type results via a variational approach, C.R.Acad.Sci. Paris Ser. I-Math 323 (1996), 753-758;
    • (1996) C.R.Acad.Sci. Paris Ser. I-Math , vol.323 , pp. 753-758
    • AMBROSETTI, A.1    BADIALE, M.2
  • 3
    • 84966206938 scopus 로고
    • A note on degree theory for gradient mappings
    • H. AMANN, A note on degree theory for gradient mappings, Proc. Amer. Math. Soc. 84 (1982), 591-595.
    • (1982) Proc. Amer. Math. Soc , vol.84 , pp. 591-595
    • AMANN, H.1
  • 4
    • 85129480090 scopus 로고    scopus 로고
    • Homoclinics and chaotic behaviour for perturbedsecondorder systems
    • to appear in
    • M. BERTI - P. BOLLE, Homoclinics and chaotic behaviour for perturbedsecondorder systems, to appear in Ann. Mat. Pura Appi.
    • Ann. Mat. Pura Appi
    • BERTI, M.1    BOLLE, P.2
  • 5
    • 0346310157 scopus 로고    scopus 로고
    • Variational Construction ofhomoclinics and chaos in presence ofa saddle-saddle equilibrium
    • M. BERTI - P. BOLLE, Variational Construction ofhomoclinics and chaos in presence ofa saddle-saddle equilibrium. Rend. Mat. Acc. Lincei 9 (1998), 167-175.
    • (1998) Rend. Mat. Acc. Lincei , vol.9 , pp. 167-175
    • BERTI, M.1    BOLLE, P.2
  • 6
    • 0011075649 scopus 로고    scopus 로고
    • A variational construction of chaotic trajectories for a Hamiltonian system on a torus
    • S. BoLOTiN - P. RABINOWITZ, A variational construction of chaotic trajectories for a Hamiltonian system on a torus. Boll. Un. Mat. Ital. 1-B 8 (1998), 541-570.
    • (1998) Boll. Un. Mat. Ital , vol.1-B 8 , pp. 541-570
    • BoLOTiN, S.1    RABINOWITZ, P.2
  • 7
    • 0043081376 scopus 로고
    • A global condition for quasi-random behavior in a class of conservative systems
    • B. BUFFONI - E. SÉRE, A global condition for quasi-random behavior in a class of conservative systems. Comm. Pure Appi. Math. 49 (1966), 285-305.
    • (1966) Comm. Pure Appi. Math , vol.49 , pp. 285-305
    • BUFFONI, B.1    SÉRE, E.2
  • 9
    • 0000107832 scopus 로고
    • Homoclinic orbits in Hamiltonian systems
    • R. DEVANEY, Homoclinic orbits in Hamiltonian systems, J. Differential Equations 21 (1976), 431-438.
    • (1976) J. Differential Equations , vol.21 , pp. 431-438
    • DEVANEY, R.1
  • 10
    • 0001306130 scopus 로고
    • Transversal homoclinic orbits in an integrable Hamiltonian systems
    • R. DEVANEY, Transversal homoclinic orbits in an integrable Hamiltonian systems. Amer. J. Math. 100 (1978), 631-642.
    • (1978) Amer. J. Math , vol.100 , pp. 631-642
    • DEVANEY, R.1
  • 11
    • 84968468179 scopus 로고
    • A note on the topological degree at a critical point of mountain-pass type
    • H. HOFER, A note on the topological degree at a critical point of mountain-pass type, Proc. Amer. Math. Soc. 90 (1984), 309-315.
    • (1984) Proc. Amer. Math. Soc , vol.90 , pp. 309-315
    • HOFER, H.1
  • 12
    • 0006214829 scopus 로고
    • Periodic, non-periodic and irregular motions in a Hamiltonian system
    • P. J. HOLMES, Periodic, non-periodic and irregular motions in a Hamiltonian system. Rocky Mountain J. Math 10 (1980), 679-693.
    • (1980) Rocky Mountain J. Math , vol.10 , pp. 679-693
    • HOLMES, P. J.1
  • 14
    • 0037887477 scopus 로고
    • On Hamiltonian systems with homoclinic curves of a saddle
    • D. V. TuRAEV - L. P. SHIL'NIKOV, On Hamiltonian systems with homoclinic curves of a saddle, Dokl. Akad. Nauk UzSSR 304 (1989), 811-814.
    • (1989) Dokl. Akad. Nauk UzSSR , vol.304 , pp. 811-814
    • TuRAEV, D. V.1    SHIL'NIKOV, L. P.2
  • 15
    • 0003483215 scopus 로고
    • Global Bifurcation and Chaos
    • Springer-Verlag
    • S. WIGGINS, "Global Bifurcation and Chaos", AppHed Mathematical Sciences, Vol.73, Springer-Verlag, 1988.
    • (1988) AppHed Mathematical Sciences , vol.73
    • WIGGINS, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.