메뉴 건너뛰기




Volumn 12, Issue 6, 1995, Pages 627-671

A solution to the bidimensional Global Asymptotic Stability Conjecture

Author keywords

Asymptotic stability; Univalent maps

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 85011615031     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30147-0     Document Type: Article
Times cited : (103)

References (16)
  • 1
    • 0012648340 scopus 로고    scopus 로고
    • On a problem concerning the stability in the large of dynamical systems
    • Vol., pp.
    • [1] M. A. Aizerman, On a problem concerning the stability in the large of dynamical systems., Uspehi Mat. Nauk. N. S., Vol. 4, (4), pp. 187-188.
    • Uspehi Mat. Nauk. N. S. , vol.4 , Issue.4 , pp. 187-188
    • Aizerman, M.A.1
  • 3
    • 85011547850 scopus 로고    scopus 로고
    • A solution of the two dimensional Global Asymptotic Jacobian Stability Conjecture
    • Preprint. ETH-Zentrum, Switzerland.
    • [3] R. Fessler, A solution of the two dimensional Global Asymptotic Jacobian Stability Conjecture, Preprint. ETH-Zentrum, Switzerland.
    • Fessler, R.1
  • 4
    • 85011594091 scopus 로고
    • Global asymptotic stability of differential equations in the plane
    • J. diff. Eq., To appear.
    • [4] A. Gasull, J. Llibre and J. Sotomayor, Global asymptotic stability of differential equations in the plane, J. diff. Eq., 1989, To appear.
    • (1989)
    • Gasull, A.1    Llibre, J.2    Sotomayor, J.3
  • 5
    • 85011595356 scopus 로고
    • On the basin of attraction of dissipative planar vector fields
    • Springer-Verlag Procc. Coll. Periodic Orbits and Bifurcations. Luminy To appear
    • [5] Gasull, A., Sotomayor, J., On the basin of attraction of dissipative planar vector fields. Lecture Notes in Mathematics, 1989, Springer-Verlag Procc. Coll. Periodic Orbits and Bifurcations. Luminy To appear.
    • (1989) Lecture Notes in Mathematics
    • Gasull, A.1    Sotomayor, J.2
  • 6
    • 85011625420 scopus 로고
    • On the global conjecture for global asymptotic stability
    • To appear.
    • [6] G. Gorni and G. Zampieri, On the global conjecture for global asymptotic stability, 1990, To appear.
    • (1990)
    • Gorni, G.1    Zampieri, G.2
  • 7
    • 34249840035 scopus 로고
    • Dissipative vector fields on the plane with infinitely many attracting hyperbolic singularities
    • [7] Gutierrez, C., Dissipative vector fields on the plane with infinitely many attracting hyperbolic singularities. Bol Soc. Bras. Mat. Vol. 22:No. 2 (1992), 179–190.
    • (1992) Bol Soc. Bras. Mat. , vol.22 , Issue.No. 2 , pp. 179-190
    • Gutierrez, C.1
  • 8
    • 0012184302 scopus 로고
    • On stability in the large for systems of ordinary differential equations
    • [8] Hartman, P., On stability in the large for systems of ordinary differential equations. Can. J. Math. Vol. 13 (1961), 480–492.
    • (1961) Can. J. Math. , vol.13 , pp. 480-492
    • Hartman, P.1
  • 9
    • 0003769140 scopus 로고
    • Ordinary differential equations
    • Sec. Ed. Birkhäuser
    • [9] Hartman, P., Ordinary differential equations. Sec. Ed., 1982, Birkhäuser.
    • (1982)
    • Hartman, P.1
  • 10
    • 0001141784 scopus 로고
    • On Physical and Mathematical mechanisms of instability in nonlinear automatic control systems
    • [10] Kalman, R.E., On Physical and Mathematical mechanisms of instability in nonlinear automatic control systems. Journal of Applied Mechanics Transactions, ASME, Vol. 79, 1957, 553–566.
    • (1957) Journal of Applied Mechanics Transactions, ASME , vol.79 , pp. 553-566
    • Kalman, R.E.1
  • 11
    • 0346544309 scopus 로고
    • Some problems of the stability theory of motion, 1959, In russian
    • English translation, Stanford University Press Moscow
    • [11] Krasovskii, N.N., Some problems of the stability theory of motion, 1959, In russian. Gosudartv Izdat. Fiz. Math. Lit., 1963, English translation, Stanford University Press, Moscow.
    • (1963) Gosudartv Izdat. Fiz. Math. Lit.
    • Krasovskii, N.N.1
  • 12
    • 84972583909 scopus 로고
    • Global stability criteria for differential systems
    • [12] Markus, L., Yamabe, H., Global stability criteria for differential systems. Osaka Math. J. Vol. 12 (1960), 305–317.
    • (1960) Osaka Math. J. , vol.12 , pp. 305-317
    • Markus, L.1    Yamabe, H.2
  • 13
    • 85011574611 scopus 로고
    • Global Stability, injectivity and the Jacobian Conjecture, To appear in the Procc. of the First World Congress on Nonlinear Analysis held at Tampa, Florida. August
    • [13] G. Meisters and O. Olech, Global Stability, injectivity and the Jacobian Conjecture, To appear in the Procc. of the First World Congress on Nonlinear Analysis held at Tampa, Florida. August, 1992.
    • (1992)
    • Meisters, G.1    Olech, O.2
  • 14
    • 0003235704 scopus 로고
    • Solution of the global asymptotic stability Jacobian conjecture for the polynomial case
    • Contributions en l'honneur de J. L. Lions., Gauthier-Villars Paris
    • [14] Meisters, G., Olech, O., Solution of the global asymptotic stability Jacobian conjecture for the polynomial case. Analyse Mathématique et applications, 1988, Contributions en l'honneur de J. L. Lions., Gauthier-Villars, Paris, 373–381.
    • (1988) Analyse Mathématique et applications , pp. 373-381
    • Meisters, G.1    Olech, O.2
  • 15
    • 0000897491 scopus 로고
    • On the global stability of an autonomous system on the plane
    • [15] Olech, C., On the global stability of an autonomous system on the plane. Cont. to Diff. Eq. Vol. 1 (1963), 389–400.
    • (1963) Cont. to Diff. Eq. , vol.1 , pp. 389-400
    • Olech, C.1
  • 16
    • 85011574615 scopus 로고
    • Injectivity of local diffeomorphisms from nearly spectral conditions
    • University of Notre Dame, Preprint.
    • [16] B. Smith and F. Xavier, Injectivity of local diffeomorphisms from nearly spectral conditions, University of Notre Dame, Preprint, 1993.
    • (1993)
    • Smith, B.1    Xavier, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.