Нелинейные колебания, динамические системы и бифуркации векторных полей - Гукенхеймер Дж.
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[114] Feigenbaum, M. J. [1980]. Universal behavior in nonlinear systems.
Los Alamos Sci., 1, 4-27.
[115] Feigenbaum, M. J., Kadanoff, L. P., and Shenker, S.J. [1982].
Quasiperiodicity in dissipative systems: a renormalization group.
Physica, 5D, 370-386.
[116] Feroe, J. A. [1982]. Existence and stability of multiple impulse
solutions of a nerve equation. SIAM J. Appl. Math., 42 (2), 235-246.
534
Литература
[117] Fiala, V. [1976]. Solution of Nonlinear Vibration Systems by Means
of Analogue Computers. Monograph 19, National Research Institute for
Machine Design, Bechovice, Prague.
[118] Flaherty, J. E., and Hoppensteadt, F. C. [1978]. Frequency
entrainment of a forced van der Pol oscillator. Stud. Appl. Math., 18, 5-
15.
[119] Franceschini, V. [1982]. Bifurcations of tori and phase locking in
a dissipative system of differential equations. Physica, 6D, 285-304
[1983].
[120] Franks, J. M. [1970]. Anosov diffeomorphisms. In Global Analysis,
S. S. Chem and S. Smale (eds.). University of California Press: Berkeley.
[121] Franks, J. M. [1974]. Time dependent stable diffeomorphisms.
Invent. Math., 24, 163-172.
[122] Franks, J. M. [1982]. Homology and Dynamical Systems. CBMS Regional
Conference Series in Mathematics, Vol. 49, A.M.S. Publications:
Providence.
[123] Fredrickson, P., Kaplan, J. L., Yorke, E. D., and Yorke, J. A.
[1982]. The Liapunov dimension of strange attractors. University of
Maryland, College Park, MD (preprint).
[124] Gambaudo, J.M., Glendinning, P., and Tresser, C. [1984]. Collage de
cycles et suites de Farey. C.R. Acad. Sci. Paris I, 299, 711-714.
[125] Gambaudo, J.M., Glendinning, P., and Tresser, C. [1985]. The gluing
bifurcation, I: symbolic dynamics of the closed curves. Universite de
Nice (preprint).
[126] Garrido, L. (ed.) [1983]. Proceedings, Sitges 1982, Springer-
Verlag: Berlin, Eleidelberg, New York.
[127] Gavrilov, N. K., and Silnikov, L. P. [1972]. On three-dimensional
dynamical systems close to systems with a structurally unstable
homoclinic curve, I. Math. USSR Sb., 88 (4), 467-485.
[128] Gavrilov, N. K., and Silnikov, L. P. [1973]. On three-dimensional
dynamical systems close to systems with a structurally unstable
homoclinic curve, II. Math. USSR Sb., 90 (1), 139-156.
[129] Gillies, A. W. [1954]. On the transformation of singularities and
limit cycles of the variational equations of van der Pol. Quart. J. Mech.
Appl. Math., 7, 152-167.
[130] Gilmore, R. [1981]. Catastrophe Theory for Scientists and
Engineers. Wiley: New York.
[131] Glass, L. and Perez, R. [1982]. The fine structure of phase
locking. Phys. Rev. Lett., 48, 1772-1775.
[132] Glendinning, P. [1984]. Bifurcations near homoclinic orbits and
symmetry. Phys. Lett. A, 103 (4), 163-166.
[133] Glendinning, P. [1990]. Topological conjugation of Lorenz maps by
[3-transformations. Math. Proc. Cambridge Philos. Soc., 107 (2), 401-413.
Литература
535
[134] Glendinning, P., and Sparrow, C. [1986]. T-points: a codimension
two heteroclinic bifurcation. J. Stat. Phys., 43 (3-4), 479-488.
[135] Glendinning, P., and Tresser, C. [1985]. Heteroclinic loops leading
to hyperchaos. J. Phys., Lett., Paris, 46 (8), 347-352.
[136] Goldstein, H. [1980]. Classical Mechanics, 2nd ed. Addison-Wesley,
Reading.
[137] Gollub, J. P., and Benson, S.V. [1980]. Many routes to turbulent
convection. J. Fluid Mech., 100, 449-470.
[138] Golubitsky, М., and Guillemin, V. [1973]. Stable Mappings and Their
Singularities. Springer-Verlag: New York, Heidelberg, Berlin.
[139] Golubitsky, М., and Langford, W. F. [1981]. Classification and
unfoldings of degenerate Hopf bifurcations. J. Diff. Eqns., 41, 375-415.
[140] Golubitsky, М., and D. Schaeffer, D. [1979a]. A theory for
imperfect bifurcation via singularity theory. Comm. Pure Appl. Math., 32,
21-98.
[141] Golubitsky, М., and Schaeffer, D. [1979b]. Imperfect bifurcation in
the presence of symmetry. Comm. Math. Phys., 67, 205-232.
[142] Golubitsky, М., and Schaeffer, D. [1985]. Singularities and Groups
in Bifurcation Theory, 1. Springer-Verlag: New York, Heidelberg, Berlin.
[143] Golubitsky, М., and Stewart, 1. [1987]. Singularities and Groups in
Bifurcation Theory, 11 (forthcoming book).
[144] Grassberger, P., and Procaccia, 1. [1983]. Characterization of
strange attractors. Phys. Rev. Lett., 50, 346-349.
[145] Greene, J.M. [1980]. Method for determining a stochastic
transition. J. Math. Phys., 20 (6), 1183-1201.
[146] Greenspan, B. D. [1981]. Bifurcations in periodically forced
oscillations-, subharmonics and homoclinic orbits. Ph.D. thesis, Center
for Applied Mathematics, Cornell University.
[147] Greenspan, B.D., and Holmes, P. J. [1982]. Homoclinic orbits,
subharmonics and global bifurcations in forced oscillations. In Nonlinear
Dynamics and Turbulence,
G. Barenblatt, G. looss, and D. D. Joseph (eds.), Pitman: London.
[148] Greenspan, B. D., and Holmes. P. J. [1983]. Repeated resonance and
