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Нелинейные колебания, динамические системы и бифуркации векторных полей - Гукенхеймер Дж.

Гукенхеймер Дж., Холмс Ф. Нелинейные колебания, динамические системы и бифуркации векторных полей — М.: Институт компьютерных исследований, 2002. — 560 c.
ISBN 5-93972-200-8
Скачать (прямая ссылка): nelineyniekolebaniya2002.djvu
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homoclinic bifurcations in a periodically forced family of oscillators,
SIAM J. Math. Anal. 15, 69-97 [1984].
[149] Gruendler, J. [1982]. A generalization of the method of Melnikov to
arbitrary dimension. Ph.D. thesis. University of North Carolina, Chapel
Hill.
[150] Gruendler, J. [1985]. The existence of homoclinic orbits and the
method of Melnikov for systems in Rn. SIAM J. Math. Anal., 16, 907-931.
[151] Guckenheimer, J. [1973]. Bifurcation and catastrophe. In Dynamical
Systems, М. M. Peixoto (ed.). Academic Press: New York.
536
Литература
[152] Guckenheimer, J. [1976]. A strange strange attractor. In The Hopf
Bifurcation and its Applications, J. E. Marsden and M. McCracken (eds.),
pp. 368-381. Springer-Verlag: New York, Heidelberg, Berlin.
[153] Guckenheimer, J. [1977]. On the bifurcation of maps of the
interval. Invent. Math., 39, 165-178.
[154] Guckenheimer, J. [1979]. Sensitive dependence on initial conditions
for one-dimensional maps. Comm. Math. Phys., 70, 133-160.
[155] Guckenheimer, J. [1980a]. Symbolic dynamics and relaxation
oscillations. Physica, ID, 227-235.
[156] Guckenheimer, J. [1980b]. Bifurcations of dynamical systems. In
Dynamical Systems, CIME Lectures, Bressanone, Italy, June 1978, pp. 115-
231. Progress in Mathematics, No. 8. Birkhauser-Boston: Boston.
[157] Guckenheimer, J. [1981]. On a codimension two bifurcation. In
Dynamical Systems and Turbulence, D. A. Rand and L. S. Young (eds.), pp.
99-142. Springer Lecture Notes in Mathematics, Vol. 898. Springer-Verlag:
New York, Heidelberg. Berlin.
[158] Guckenheimer, J. [1984]. Dimension estimates for attractors.
Contemp. Math., 28, 357-367.
[159] Guckenheimer. J. [1986]. Strange attractors in fluids: another
view. Ann. Rev. Fluid Mech. 18, 15-31.
[160] Guckenheimer, J., andBuzyna, G. [1983]. Dimension measurements for
geostrophic turbulence. Phys. Rev. Lett, 51, 1438-1441.
[161] Guckenheimer, J., and Knobloch, E. [1983]. Nonlinear convection in
a rotating layer: amplitude expansions and center manifolds. Geophys. and
Astrophys. Fluid Dyn., 23, 247-272.
[162] Guckenheimer, J., and Williams, R. F. [1979]. Structural stability
of Lorenz attractors. Publ. Math. 1HES, 50, 59-72.
[163] Gumowski, I., and Mira, C. [1980]. Recurrences and Discrete
Dynamical Systems. Springer Lecture Notes in Mathematics, Vol. 809.
Springer-Verlag: New York, Heidelberg, Berlin.
[164] Gurel, O., and Rossler, О. E. (eds.) [1979]. Bifurcation Theory and
Applications in Scientific Disciplines. Annals of the New York Academy of
Sciences, Vol. 316. New York Academy of Sciences: New York.
[165] Hale, J. K. [1963]. Oscillations in Nonlinear Systems. McGraw-Hill:
New York.
[166] Hale, J.K. [1969]. Ordinary Differential Equations. Wiley: New
York.
[167] Hall, G. R. [1983]. A topological version of a theorem of Mather on
twist maps. MRC Technical Report, University of Wisconsin, Madison, WI.
[168] Hamilton, R. S. [1982]. The inverse function theorem of Nash and
Moser. Bull. Amer. Math. Soc., 7 (1), 65-222.
Литература
537
[169] Нао, B.-L. (ed.) [1984]. Chaos. World Scientific: Singapore.
[170] Hartlan, R. Т., and Currie, I. G. [1970]. Lift oscillator model
of a vortex-induced
vibration. Proc. ASCE, EM5, 577-591.
[171] Hartman, P. [1964]. Ordinary Differential Equations. Wiley: New
York.
[172] Hassard, B. D., Kazarinoff, N. D., and Wan, Y.-H. [1980]. Theory
and Applications of the Hopf Bifurcation. Cambridge University Press:
Cambridge.
[173] Hassard, B. D., and Wan. Y.-H. [1978]. Bifurcation formulae
derived from center
manifold theory. J. Math. Anal. Appl., 63 (1), 297-312.
[174] Hastings, S. P. [1982]. Single and multiple pulse waves for the
Fitzhugh-Nagumo equations. SIAM J. Appl. Math., 42 (2), 247-260.
[175] Hayashi, C. [1964]. Nonlinear Oscillations in Physical Systems.
McGraw-Hill: New York.
[176] Helleman, R. H. G. (ed.) [1980]. Nonlinear Dynamics. Armais of the
New York Academy of Sciences. Vol. 357. New York Academy of Sciences: New
York.
[177] Helleman, R.H. G., Iooss, G., and Stora (eds.) [1983]. Chaotic
Behavior of Deterministic Systems. Proceedings of the Cours a l'Ecole des
Houches, July 1981. North Holland: Amsterdam.
[178] Henon, M. [1976]. A two-dimensional mapping with a strange
attractor. Comm. Math. Phys., 50, 69-77.
[179] Нёпоп, М., and Heiles, С.. [1964]. The applicability of the third
integral of motion-, some numerical experiments. Astron. J., 69, 73.
[180] Henry, D. [1981]. Geometric Theory of Semilinear Parabolic
Equations. Springer Lectures Notes in Mathematics, Vol. 840. Springer-
Verlag: New York, Heidelberg, Berlin.
[181] Herman, M. R. [1976]. Sur la conjugaison Differentiable des
Diffeomorphismes du Cercle a des Rotations. Thesis, Universite de Paris,
Orsay and Publ. Math. IHES 49.
[ 182] Herman, M. R. [ 1977]. Mesure de Lesbesque et N ombre de Rotation.
In Geometry and Topology, J. Palis and M. de Carmo (eds.), pp. 271-293.
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