Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Becker K.H., Seydel R.: Lect. Notes in Math. 878, Springer Verlag, Berlin 1981, p. 99.
Feigenbaum M.J.: J. Stat. Phys. 6, 669 (1979).
Holodniok M., Kubíček M.: Computation of period doubling bifurcation points in O.D.E. Preprint, Tech. Univ. München, M-8406 (1984).
Holodniok M., Kubíček M.: J. Comput. Phys. 55, 254 (1984).
Holodniok M., Kubíček M.: Appl. Math. Comput. 15, 261 (1984).
Holodniok M., Kubíček M.: Continuation of periodic solutions in ordinary differential equations with application to the Hodgkin-Huxley model, Inter. Symp. of Numerical Analysis, Madrid, 17.-19. 9. 1985.
Holodniok M., Kubíček M., Marek M.: Stable and unstable periodic solutions in the Lorenz model. Preprint, Tech. Univ. München, M-9217 (1982).
Iooss G., Joseph D.D.: Elementary stability and bifurcation theory. Springer Verlag, New York 1981.
Jepson A.D., Keller H.B.: in [20], p. 219.
Keller H.B.: in "Applications of Bifurcation Theory", Ed. by P. Rabinowitz, Academic Press, New York, 1977, p. 359.
Keller H.B.: in "Recent Advances in Numerical Analysis", Ed. by C. de Boor, G.H. Golub, Academic Press, New York 1978, p. 73.
Knedlik P., Holodniok M., Kubíček M., Marek M.: Periodic solutions in reaction-diffusion problems, 7th CHISA Congress, Prague 1984.
Kubíček M.: Appl. Math. Comput. 1, 341 (1975).
Kubíček M.: ACM TOMS 2, 98 (1976).
Kubíček M., Holodniok M.: Chem. Eng. Sci. 39, 593 (1984).
Kubíček M., Klíč A., Holodniok M.: in preparation.
Kubíček M., Klíč A.: Appl. Math. Comput. 13, 125 (1983).
Kubíček M., Marek M.: Appl. Math. Comput. 5, 253 (1979).
Kubíček M., Marek M.: Computational methods in bifurcation theory and dissipative structures. Springer Verlag, New York 1983.
Küpper I., Mittelmann H.D., Weber H., Eds.: Numerical methods for bifurcation problems. Birkhäuser, Basel 1984.
Lorenz E.N.: J. Athmosph. Sci. 20, 130 (1963).
Mittelmann H.D., Weber H., Eds.: Bifurcation problems and their numerical solution. Birkhäuser, Basel 1980.
Nicolis G., Prigogine I.: Self-organization in nonequilibrium systems. J. Wiley, New York 1977.
Rheinboldt W.C., Burkardt J.V.: ACM TOMS 9, 215 (1983).
Schreiber I., Holodniok M., Kubíček M., Marek M.: J. Stat. Phys., to be published.
Seydel R.: Numer. Math. 32, 51 (1979).
Sparrow C.: The Lorenz Equations: Bifurcations, Chaos and Strange Attractors. Springer Verlag, Berlin 1982.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Equadiff 6 and Springer-Verlag
About this paper
Cite this paper
Kubíček, M., Holodniok, M. (1986). Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076097
Download citation
DOI: https://doi.org/10.1007/BFb0076097
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16469-2
Online ISBN: 978-3-540-39807-3
eBook Packages: Springer Book Archive