Marsden, J. E.; McCracken, M. [Lerman, L. M.; Bautin, N. N.; Leontovich, E. A.] The Hopf bifurcation and its applications. (Bifurkatsiya rozhdeniya tsikla i ee prilozheniya). Transl. from the English by L. M. Lerman. Transl. ed. by N. N. Bautin and E. A. Leontovich. (Russian) Zbl 0545.58002 Moskva: Izdatel’stvo ”Mir”. 368 p. R. 1.50 (1980). MSC: 58-02 37C75 34C15 35G25 76E30 PDFBibTeX XML
Hassard, Brian D. Computation of invariant manifolds. (English) Zbl 0499.58024 New approaches to nonlinear problems in dynamics, Proc. Conf., Pacific Grove/Calif. 1979, 27-42 (1980). MSC: 37G99 37C80 PDFBibTeX XML
Babenko, K. I. On the bifurcation of solutions of Navier-Stokes equations. (English. Russian original) Zbl 0497.76062 Sov. Phys., Dokl. 25, 829-831 (1980); translation from Dokl. Akad. Nauk SSSR 254, 1384-1387 (1980). MSC: 76F99 76M99 76D05 76E99 35Q30 PDFBibTeX XMLCite \textit{K. I. Babenko}, Sov. Phys., Dokl. 25, 829--831 (1980; Zbl 0497.76062); translation from Dokl. Akad. Nauk SSSR 254, 1384--1387 (1980)
Mallet-Paret, John; Yorke, James A. Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits. (English) Zbl 0485.58014 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 300-304 (1980). MSC: 37G99 34C25 PDFBibTeX XML
Doedel, E. J.; Reddien, G. W. Computation of bifurcation branches using projection methods. (English) Zbl 0482.65048 Numerical analysis and computers, Proc. Army Conf., Moffett Field/ Calif. 1980, 223-231 (1980). MSC: 65L15 34L99 PDFBibTeX XML
Purfuerst, R.; Schneider, K. R. Existenz und asymptotisches Verhalten von steady-state Lösungen bei singulär gestoerten Differentialgleichungssystemen. (German) Zbl 0476.34031 Wiss. Z. Tech. Hochsch. Otto von Guericke 24, No. 5, 13-15 (1980). MSC: 34C15 34E99 35B25 35B40 PDFBibTeX XMLCite \textit{R. Purfuerst} and \textit{K. R. Schneider}, Wiss. Z. Tech. Hochsch. Otto von Guericke 24, No. 5, 13--15 (1980; Zbl 0476.34031)
Matsumura, Toshio; Sakawa, Yoshiyuki Non-linear analysis of nitrogen cycle in aquatic ecosystems. (English) Zbl 0472.92016 Int. J. Syst. Sci. 11, 803-816 (1980). MSC: 92D40 34C05 37-XX PDFBibTeX XMLCite \textit{T. Matsumura} and \textit{Y. Sakawa}, Int. J. Syst. Sci. 11, 803--816 (1980; Zbl 0472.92016) Full Text: DOI
Cushing, J. M.; Simmes, S. D. Bifurcation of asymptotically periodic solutions of Volterra integral equations. (English) Zbl 0465.45003 J. Integral Equations 2, 339-361 (1980). MSC: 45D05 45G10 45M05 92D25 PDFBibTeX XMLCite \textit{J. M. Cushing} and \textit{S. D. Simmes}, J. Integral Equations 2, 339--361 (1980; Zbl 0465.45003)
Kubicek, Milan Algorithm for evaluation of complex bifurcation points in ordinary differential equations. (English) Zbl 0462.65046 SIAM J. Appl. Math. 38, 103-107 (1980). MSC: 65L05 PDFBibTeX XMLCite \textit{M. Kubicek}, SIAM J. Appl. Math. 38, 103--107 (1980; Zbl 0462.65046) Full Text: DOI
Ermentrout, G. Bard Small amplitude stable wavetrains in reaction-diffusion systems. (English) Zbl 0458.76080 Nonlinear partial differential equations in engineering and applied science, Proc. Conf., Kingston 1979, Lect. Notes Pure Appl. Math. 54, 217-228 (1980). MSC: 76R99 76E99 PDFBibTeX XML
Mittelmann, H. D.; Weber, H. Numerical methods for bifurcation problems - a survey and classification. (English) Zbl 0458.65037 Bifurcation problems and their numerical solution, Workshop Dortmund 1980, ISNM 54, 1-45 (1980). MSC: 65H17 47J05 65J15 58E07 65-02 65L10 34B15 35B32 PDFBibTeX XML
Hadeler, K. P.; de Mottoni, P.; Schumacher, K. Dynamic models for animal orientation. (English) Zbl 0454.92006 J. Math. Biol. 10, 307-332 (1980). MSC: 92Cxx 37-XX PDFBibTeX XMLCite \textit{K. P. Hadeler} et al., J. Math. Biol. 10, 307--332 (1980; Zbl 0454.92006) Full Text: DOI
Bajaj, A. K.; Sethna, P. R.; Lundgren, T. S. Hopf bifurcation phenomena in tubes carrying a fluid. (English) Zbl 0454.73038 SIAM J. Appl. Math. 39, 213-230 (1980). MSC: 74F10 74G99 74H99 37G99 PDFBibTeX XMLCite \textit{A. K. Bajaj} et al., SIAM J. Appl. Math. 39, 213--230 (1980; Zbl 0454.73038) Full Text: DOI
Mieussens, Michel Sur les cycles limites des systèmes quadratiques. (French) Zbl 0454.34021 C. R. Acad. Sci., Paris, Sér. A 291, 337-340 (1980). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{M. Mieussens}, C. R. Acad. Sci., Paris, Sér. A 291, 337--340 (1980; Zbl 0454.34021)
Benhabib, Jess Adaptive monetary policy and rational expectations. (English) Zbl 0452.90018 J. Econ. Theory 23, 261-266 (1980). MSC: 91B62 PDFBibTeX XMLCite \textit{J. Benhabib}, J. Econ. Theory 23, 261--266 (1980; Zbl 0452.90018) Full Text: DOI
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
Lin, Juan; Kahn, Peter B. Random effects in population models with hereditary effects. (English) Zbl 0451.92016 J. Math. Biol. 10, 101-112 (1980). MSC: 92D25 34K99 60K99 PDFBibTeX XMLCite \textit{J. Lin} and \textit{P. B. Kahn}, J. Math. Biol. 10, 101--112 (1980; Zbl 0451.92016) Full Text: DOI
Guckenheimer, John Bifurcations of dynamical systems. (English) Zbl 0451.58025 Dynamical systems, C.I.M.E. Lect., Bressanone 1978, Prog. Math. 8, 115-231 (1980). MSC: 37G99 37D45 37C70 37D99 37C25 37C55 37J40 37N99 PDFBibTeX XML
Wang, P. K. C. Nonperiodic oscillations of Langmuir waves. (English) Zbl 0449.76094 J. Math. Phys. 21, 398-407 (1980). MSC: 76X05 34C15 70K99 82D10 PDFBibTeX XMLCite \textit{P. K. C. Wang}, J. Math. Phys. 21, 398--407 (1980; Zbl 0449.76094) Full Text: DOI
Bernfeld, S. R.; Salvadori, L. Generalized Hopf bifurcation and h-asymptotic stability. (English) Zbl 0449.34029 Nonlinear Anal., Theory Methods Appl. 4, 1091-1107 (1980). MSC: 34C25 PDFBibTeX XMLCite \textit{S. R. Bernfeld} and \textit{L. Salvadori}, Nonlinear Anal., Theory Methods Appl. 4, 1091--1107 (1980; Zbl 0449.34029) Full Text: DOI
Weber, H. Numerical solution of Hopf bifurcation problems. (English) Zbl 0448.65055 Math. Methods Appl. Sci. 2, 178-190 (1980). MSC: 65L10 34C25 34L99 92Cxx PDFBibTeX XMLCite \textit{H. Weber}, Math. Methods Appl. Sci. 2, 178--190 (1980; Zbl 0448.65055) 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
Claeyssen, Julio Ruiz The integral-averaging bifurcation method and the general one-delay equation. (English) Zbl 0447.34042 J. Math. Anal. Appl. 78, 429-439 (1980). MSC: 34C29 34C25 PDFBibTeX XMLCite \textit{J. R. Claeyssen}, J. Math. Anal. Appl. 78, 429--439 (1980; Zbl 0447.34042) Full Text: DOI
Gopalsamy, K. Pursuit-evasion wave trains in prey-predator systems with diffusionally coupled delays. (English) Zbl 0446.92018 Bull. Math. Biol. 42, 871-887 (1980). MSC: 92D25 45K05 45M10 PDFBibTeX XMLCite \textit{K. Gopalsamy}, Bull. Math. Biol. 42, 871--887 (1980; Zbl 0446.92018) Full Text: DOI
Bibikov, Yu. N. Bifurkationen Hopfschen Typs für quasiperiodische Bewegungen. (Russian) Zbl 0446.34044 Differ. Uravn. 16, 1539-1544 (1980). MSC: 34C27 34C25 PDFBibTeX XMLCite \textit{Yu. N. Bibikov}, Differ. Uravn. 16, 1539--1544 (1980; Zbl 0446.34044)
Kielhöfer, Hansjörg Corrigenda: Hopf bifurcation at multiple eigenvalues. (English) Zbl 0444.34058 Arch. Ration. Mech. Anal. 74, 395-396 (1980). MSC: 34G20 35P30 47H10 PDFBibTeX XMLCite \textit{H. Kielhöfer}, Arch. Ration. Mech. Anal. 74, 395--396 (1980; Zbl 0444.34058) 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
Purfürst, Rainer Hopf-Bifurcation bei singulär gestörten Systemen. (German) Zbl 0442.34041 Prepr., Akad. Wiss. DDR, Zentralinst. Math. Mech. p-29/80, 12 p. (1980). MSC: 34C25 37G99 PDFBibTeX XML
Iooss, G. Bifurcations élémentaires et transition. (French) Zbl 0437.58014 Sémin. Goulaouic-Schwartz 1979-1980, Équat. dériv. part., Exposé No. 21, 24 p. (1980). MSC: 37G99 76F99 34C25 34C27 PDFBibTeX XML Full Text: Numdam EuDML
Vanderbauwhede, A. L. An abstract setting for the study of the Hopf bifurcation. (English) Zbl 0437.47044 Nonlinear Anal., Theory Methods Appl. 4, 547-566 (1980). MSC: 47J05 58E07 PDFBibTeX XMLCite \textit{A. L. Vanderbauwhede}, Nonlinear Anal., Theory Methods Appl. 4, 547--566 (1980; Zbl 0437.47044) Full Text: DOI
Langford, W. F.; Iooss, G. Interactions of Hopf and Pitchfork bifurcations. (English) Zbl 0437.34036 Bifurcation problems and their numerical solution, Workshop Dortmund 1980, ISNM 54, 103-134 (1980). MSC: 34C25 PDFBibTeX XML
Hale, Jack K.; De Oliveira, Jose Carlos F. Hopf bifurcation for functional equations. (English) Zbl 0433.34053 J. Math. Anal. Appl. 74, 41-59 (1980). MSC: 34K99 34A12 PDFBibTeX XMLCite \textit{J. K. Hale} and \textit{J. C. F. De Oliveira}, J. Math. Anal. Appl. 74, 41--59 (1980; Zbl 0433.34053) Full Text: DOI
Martelli, Mario; Schmitt, Klaus; Smith, Hal Periodic solutions of some nonlinear delay-differential equations. (English) Zbl 0433.34050 J. Math. Anal. Appl. 74, 434-503 (1980). MSC: 34K99 34K10 34A34 47H10 92C50 PDFBibTeX XMLCite \textit{M. Martelli} et al., J. Math. Anal. Appl. 74, 434--503 (1980; Zbl 0433.34050) Full Text: DOI
Tarbell, J. M. A two-timing formalism for autonomous oscillations. (English) Zbl 0433.34027 Int. J. Non-Linear Mech. 15, 235-250 (1980). MSC: 34C10 PDFBibTeX XMLCite \textit{J. M. Tarbell}, Int. J. Non-Linear Mech. 15, 235--250 (1980; Zbl 0433.34027) Full Text: DOI
Hale, Jack K. Ordinary differential equations. 2nd ed. (English) Zbl 0433.34003 Pure and Applied Mathematics, Vol. 21. Orig. publ. by Wiley-Interscience. Huntington, New York: Robert E. Krieger Publishing Company. XVII, 361 p. $ 27.50 (1980). MSC: 34-01 34A12 34C40 34C10 34C15 34D20 34C25 34A30 34K05 PDFBibTeX XML
el Naschie, M. S.; Athel, S. Al. On the morphology of controlled systems. (English) Zbl 0432.58015 Structural control, Proc. int. IUTAM Symp., Waterloo/Canada 1979, 237-254 (1980). MSC: 37G99 37C75 58K35 93D15 PDFBibTeX XML
Spirig, Franz A generalization of Hopf’s bifurcation problem. (English) Zbl 0431.34032 Celestial Mech. 21, 199-201 (1980). MSC: 34C29 34A99 70F15 PDFBibTeX XMLCite \textit{F. Spirig}, Celest. Mech. 21, 199--201 (1980; Zbl 0431.34032) Full Text: DOI
Hoyle, Stephen L. Hopf bifurcation for ordinary differential equations with a zero eigenvalue. (English) Zbl 0431.34031 J. Math. Anal. Appl. 74, 212-232 (1980). MSC: 34C25 34A99 34A34 PDFBibTeX XMLCite \textit{S. L. Hoyle}, J. Math. Anal. Appl. 74, 212--232 (1980; Zbl 0431.34031) Full Text: DOI
Rinzel, John; Miller, Robert N. Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations. (English) Zbl 0429.92014 Math. Biosci. 49, 27-59 (1980). MSC: 92Cxx 65L07 65L15 92-04 PDFBibTeX XMLCite \textit{J. Rinzel} and \textit{R. N. Miller}, Math. Biosci. 49, 27--59 (1980; Zbl 0429.92014) Full Text: DOI
Cronin, Jane Differential equations. Introduction and qualitative theory. (English) Zbl 0429.34002 Pure and Applied Mathematics. 54. New York, Basel: Marcel Dekker, Inc. VIII, 372 p. SFr. 78.00 (1980). MSC: 34-01 34A30 34D05 34D20 92C50 34C05 34C25 PDFBibTeX XML
Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R. Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. (English) Zbl 0411.34061 SIAM J. Appl. Math. 38, 282-304 (1980). MSC: 34A99 34D20 58A20 37C75 37G99 PDFBibTeX XMLCite \textit{J. Hofbauer} et al., SIAM J. Appl. Math. 38, 282--304 (1980; Zbl 0411.34061) Full Text: DOI