Persek, Stephen C. Iterated averaging for periodic systems with hidden multi-scale slow times. (English) Zbl 0505.34035 Pac. J. Math. 112, 211-236 (1984). MSC: 34C27 34C15 34E05 34C25 PDFBibTeX XMLCite \textit{S. C. Persek}, Pac. J. Math. 112, 211--236 (1984; Zbl 0505.34035) Full Text: DOI
Iooss, G.; Joseph, D. D. Elementary stability and bifurcation theory. (Ehlementarnaya teoriya ustojchivosti i bifurkatsij). Transl. from the English. (Russian) Zbl 0525.34001 Moskva: Izdatel’stvo ”Mir”. 30 p. R. 2.40 (1983). MSC: 34-01 34C15 34C25 34C99 34D20 37G99 PDFBibTeX XML
Guckenheimer, John; Holmes, Philip Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. (English) Zbl 0515.34001 Applied Mathematical Sciences, 42. New York etc.: Springer-Verlag. XVI, 453 p., 206 figs. (1983). MSC: 34-02 34C15 37-XX 70H05 34C25 34D20 34C29 PDFBibTeX XML Full Text: DOI
Lyubushin, E. A. On integral manifolds for the rotation of a gyrostat. (Russian) Zbl 0519.70004 Din. Sist., Kiev 1, 21-28 (1982). MSC: 70E05 PDFBibTeX XMLCite \textit{E. A. Lyubushin}, Din. Sist. (Kiev) 1, 21--28 (1982; Zbl 0519.70004)
Knobloch, H. W.; Aulbach, B. The role of center manifolds in ordinary differential equations. (English) Zbl 0517.34038 Differential equations and their applications, Equadiff 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 179-189 (1982). MSC: 34C30 92D25 PDFBibTeX XML
Knobloch, H. W.; Flockerzi, D. Invariante Mannigfaltigkeiten, Stabilität und Verzweigung bei gewöhnlichen Differentialgleichungen. (German) Zbl 0511.58026 Mitt. Math. Ges. Hamb. 11, 99-119 (1982). MSC: 37G99 34C45 PDFBibTeX XMLCite \textit{H. W. Knobloch} and \textit{D. Flockerzi}, Mitt. Math. Ges. Hamb. 11, 99--119 (1982; Zbl 0511.58026)
Kirchgässner, Klaus Wave-solutions of reversible systems and applications. (English) Zbl 0507.35033 J. Differ. Equations 45, 113-127 (1982). MSC: 35J65 35B30 35B05 35J25 35A05 35B40 PDFBibTeX XMLCite \textit{K. Kirchgässner}, J. Differ. Equations 45, 113--127 (1982; Zbl 0507.35033) Full Text: DOI
Hale, Jack K. Topics in dynamic bifurcation theory. (Expository lectures from the CBMS Regional Conference held at the University of Texas at Arlington, June 16-20, 1980). (English) Zbl 0481.34008 Regional Conference Series in Mathematics, No. 47. Conference Board of the Mathematical Sciences, supp. by the National Science Foundation. Providence, R.I.: American Mathematical Society (AMS). IV, 84 p. $ 6.40 (1981). MSC: 34-01 34C25 34C15 34C28 34D30 35B32 35B35 35B40 37D45 37G99 37C75 PDFBibTeX XML
Green, David jun.; White, Robert G. On multi-parameter bifurcation in diffusion models. (English) Zbl 0479.34018 J. Math. Anal. Appl. 83, 302-315 (1981). MSC: 34C25 34C29 PDFBibTeX XMLCite \textit{D. Green jun.} and \textit{R. G. White}, J. Math. Anal. Appl. 83, 302--315 (1981; Zbl 0479.34018) Full Text: DOI
Hassard, B. D.; Kazarinoff, N. D.; Wan, Y.-H. Theory and applications of Hopf bifurcation. (English) Zbl 0474.34002 London Mathematical Society Lecture Note Series, 41. Cambridge etc.: Cambridge University Press. VI, 311 p. £15.00 (1981). MSC: 34-02 34C25 34C10 37-XX 47J05 34K99 47H20 35B32 PDFBibTeX XML
Diekmann, O.; van Gils, S. A. Invariant manifolds for Volterra integral equations of convolution type. (English) Zbl 0464.45007 Math. Cent., Amst., Afd. Toegepaste Wiskd. TW 219/81, 57 p. (1981). MSC: 45G10 45D05 45M10 47H20 92D25 PDFBibTeX XML
Sethna, P. R. Bifurcation theory and averaging in mechanical systems. (English) Zbl 0483.70019 New approaches to nonlinear problems in dynamics, Proc. Conf., Pacific Grove/Calif. 1979, 392-404 (1980). MSC: 70K30 34C29 34C45 PDFBibTeX XML
Holmes, Philip J.; Marsden, Jerrold E. Dynamical systems and invariant manifolds. (English) Zbl 0477.58028 New approaches to nonlinear problems in dynamics, Proc. Conf., Pacific Grove/Calif. 1979, 3-25 (1980). MSC: 37N99 37D99 37D45 74H55 PDFBibTeX XML
Carr, J.; Al-Amood, Naji Rate of decay in critical cases. II: Infinite-dimensional problems. (English) Zbl 0457.34042 J. Math. Anal. Appl. 75, 293-299 (1980). MSC: 34D05 34L99 34D20 37C75 PDFBibTeX XMLCite \textit{J. Carr} and \textit{N. Al-Amood}, J. Math. Anal. Appl. 75, 293--299 (1980; Zbl 0457.34042) Full Text: DOI
Carr, J.; Al-Amood, Naji Rate of decay in critical cases. I: Finite-dimensional problems. (English) Zbl 0457.34041 J. Math. Anal. Appl. 75, 242-250 (1980). MSC: 34D05 34D20 34L99 37C75 PDFBibTeX XMLCite \textit{J. Carr} and \textit{N. Al-Amood}, J. Math. Anal. Appl. 75, 242--250 (1980; Zbl 0457.34041) Full Text: DOI
Krasil’shchik, I. S. Hamiltonian cohomology of canonical algebras. (English. Russian original) Zbl 0454.58020 Sov. Math., Dokl. 21, 625-629 (1980); translation from Dokl. Akad. Nauk SSSR 251, 1306-1309 (1980). MSC: 58J99 17B56 17B05 58A12 37J99 58A14 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik}, Sov. Math., Dokl. 21, 625--629 (1980; Zbl 0454.58020); translation from Dokl. Akad. Nauk SSSR 251, 1306--1309 (1980)
Negrini, P.; Tesei, A. Attractivity and Hopf bifurcation in Banach spaces. (English) Zbl 0452.35050 J. Math. Anal. Appl. 78, 204-221 (1980). MSC: 35K15 35B10 35B32 35B35 35B05 PDFBibTeX XMLCite \textit{P. Negrini} and \textit{A. Tesei}, J. Math. Anal. Appl. 78, 204--221 (1980; Zbl 0452.35050) Full Text: DOI
Schneider, Klaus R. On the existence of perturbed center submanifolds of a class of autonomous differential systems. (English) Zbl 0447.58026 Prepr., Akad. Wiss. DDR, Zentralinst. Math. Mech. P-26/80, 31 p. (1980). MSC: 37G99 34C45 34C30 PDFBibTeX XML
Kirchgraber, Urs A note on Liapunov’s center theorem. (English) Zbl 0444.34039 J. Math. Anal. Appl. 73, 568-570 (1980). MSC: 34C25 34C30 PDFBibTeX XMLCite \textit{U. Kirchgraber}, J. Math. Anal. Appl. 73, 568--570 (1980; Zbl 0444.34039) Full Text: DOI
Iooss, Gerard; Joseph, Daniel D. Elementary stability and bifurcation theory. (English) Zbl 0443.34001 Undergraduate Texts in Mathematics. New York - Heidelberg - Berlin: Springer-Verlag. XV, 286 p. DM 42.00; $ 24.80 (1980). MSC: 34-01 34D20 34C15 34C25 37G99 34C99 PDFBibTeX XML
Arnold, E. M. On stability and periodicity in phosphorus nutrient dynamics. (English) Zbl 0428.92024 Q. Appl. Math. 38, 139-141 (1980). MSC: 92D40 37G15 37C75 PDFBibTeX XMLCite \textit{E. M. Arnold}, Q. Appl. Math. 38, 139--141 (1980; Zbl 0428.92024) Full Text: DOI
Kulikov, A. N. To the question on the uniqueness of the invariant manifold in a critical case. (Russian) Zbl 0446.34046 Investigations on stability and the theory of oscillations, interuniv. Work Collect., Yaroslavl’ 1979, 81-83 (1979). MSC: 34C30 37A30 PDFBibTeX XML
Schneider, Klaus R. Hopf bifurcation and integral manifolds. (English) Zbl 0425.34039 Prepr., Akad. Wiss. DDR, Zentralinst. Math. Mech. 39, 39 p. (1979). MSC: 34C05 34C30 34C25 34C45 34A99 PDFBibTeX XML
Stech, Harlan W. The Hopf bifurcation: A stability result and application. (English) Zbl 0418.34073 J. Math. Anal. Appl. 71, 525-546 (1979). MSC: 34K20 34K05 92D25 PDFBibTeX XMLCite \textit{H. W. Stech}, J. Math. Anal. Appl. 71, 525--546 (1979; Zbl 0418.34073) Full Text: DOI
Wan, Yieh-Hei Bifurcations of periodic orbits in autonomous systems. (English) Zbl 0416.58010 Global analysis, Proc. bienn. Semin. Can. math. Congr., Calgary/Alberta 1978, Lect. Notes Math. 755, 371-377 (1979). MSC: 58E07 37G99 PDFBibTeX XML
Hassard, B.; Wan, Y. H. Bifurcation formulae derived from center manifold theory. (English) Zbl 0435.34034 J. Math. Anal. Appl. 63, 297-312 (1978). MSC: 34C30 PDFBibTeX XMLCite \textit{B. Hassard} and \textit{Y. H. Wan}, J. Math. Anal. Appl. 63, 297--312 (1978; Zbl 0435.34034) Full Text: DOI
Sell, George R. The center manifold theorem and the structure of a flow in the vicinity of an almost periodic motion. (English) Zbl 0422.34057 Local dynamical systems: integral and differential equations; Proc. Symp. RIMS, Kyoto 1977, 39-55 (1977). MSC: 37-XX 34C27 34A34 PDFBibTeX XML