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Volumn 356, Issue 1745, 1998, Pages 2241-2256

Shil'nikov homoclinic dynamics and the escape from roll autorotation in an F-4 model

Author keywords

Autorotation; Flight dynamics; Global bifurcation; Nonlinear dynamics; Numerical continuation

Indexed keywords


EID: 3043001368     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0272     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 0001630378 scopus 로고
    • On Shil'nikov's saddle-focus theorem
    • Deng, B. 1993 On Shil'nikov's saddle-focus theorem. J. Diff. Eqns 102, 305-329.
    • (1993) J. Diff. Eqns , vol.102 , pp. 305-329
    • Deng, B.1
  • 2
    • 0000378937 scopus 로고
    • Numerical analysis and control of bifurcation problems. I. Bifurcation in finite dimensions
    • Doedel, E. J., Keller, H. B. & Kernevez, J. P. 1991a Numerical analysis and control of bifurcation problems. I. Bifurcation in finite dimensions. Int. J. Bifurcation Chaos 1, 493-520.
    • (1991) Int. J. Bifurcation Chaos , vol.1 , pp. 493-520
    • Doedel, E.J.1    Keller, H.B.2    Kernevez, J.P.3
  • 3
    • 0000378934 scopus 로고
    • Numerical analysis and control of bifurcation problems. II. Bifurcation in infinite dimensions
    • Doedel, E. J., Keller, H. B. & Kernevez, J. P. 1991b Numerical analysis and control of bifurcation problems. II. Bifurcation in infinite dimensions. Int. J. Bifurcation Chaos 1, 745-772.
    • (1991) Int. J. Bifurcation Chaos , vol.1 , pp. 745-772
    • Doedel, E.J.1    Keller, H.B.2    Kernevez, J.P.3
  • 5
    • 0021442615 scopus 로고
    • Bifurcation phenomena near homoclinic orbits: A two-parameter analysis
    • Gaspard, P., Kapral, R. & Nicolis, G. 1984 Bifurcation phenomena near homoclinic orbits: a two-parameter analysis. J. Stat. Phys. 35, 697-727.
    • (1984) J. Stat. Phys. , vol.35 , pp. 697-727
    • Gaspard, P.1    Kapral, R.2    Nicolis, G.3
  • 7
    • 0021437639 scopus 로고
    • Local and global behaviour near homoclinic orbits
    • Glendinning, P. & Sparrow, C. T. 1984 Local and global behaviour near homoclinic orbits. J. Stat. Phys. 35, 645-696.
    • (1984) J. Stat. Phys. , vol.35 , pp. 645-696
    • Glendinning, P.1    Sparrow, C.T.2
  • 8
    • 84983154349 scopus 로고    scopus 로고
    • Global stability analysis of nonlinear aircraft dynamics
    • AIAA-97-3721-CP, American Institute of Aeronautics and Astronautics
    • Goman, M. G. & Khramtsovsky, A. V. 1997 Global stability analysis of nonlinear aircraft dynamics. In AIAA Atmospheric Flight Mechanics Conf. Technical Papers, AIAA-97-3721-CP, pp. 662-672. American Institute of Aeronautics and Astronautics.
    • (1997) AIAA Atmospheric Flight Mechanics Conf. Technical Papers , pp. 662-672
    • Goman, M.G.1    Khramtsovsky, A.V.2
  • 13
    • 0003752139 scopus 로고    scopus 로고
    • Center manifolds for homoclinic solutions
    • Technical report for Weierstraß Institut für Angewandte Analysis und Stochastik (In the press)
    • Sandstede, B. 1998 Center manifolds for homoclinic solutions. Technical report for Weierstraß Institut für Angewandte Analysis und Stochastik. J. Dyn. Diff. Eqns. (In the press.)
    • (1998) J. Dyn. Diff. Eqns.
    • Sandstede, B.1
  • 14
    • 0001234956 scopus 로고
    • A case of the existence of a countable number of periodic motions
    • Shil'nikov, L. P. 1965 A case of the existence of a countable number of periodic motions. Sov. Math. Dokl. 6, 163-166.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 163-166
    • Shil'nikov, L.P.1
  • 15
    • 84956230541 scopus 로고
    • A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type
    • Shil'nikov, L. P. 1970 A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type. Mat. USSR Sb. 10, 91-102.
    • (1970) Mat. USSR Sb. , vol.10 , pp. 91-102
    • Shil'nikov, L.P.1
  • 16
    • 0000615851 scopus 로고
    • About some theorems by L. P. Sil'nikov
    • Tresser, C. 1984 About some theorems by L. P. Sil'nikov. Ann. Inst. Henri Poincaré 40, 441-461.
    • (1984) Ann. Inst. Henri Poincaré , vol.40 , pp. 441-461
    • Tresser, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.