Keywords
- Period Doubling Bifurcation
- Integral Constraint
- Successive Continuation
- Branch Switching
- Approximate Solitary Wave Solution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Ascher, U., J. Christiansen, R.D. Russell, Collocation software for boundary value ODE's, ACM TOMS 7, No. 2, 1981, 209–222.
Doedel, E.J., J.P. Kernévez, AUTO: Software for continuation and bifurcation problems in ordinary differential equations, Technical Report, California Institute of Technology, 1986, 226 pages (includes the AUTO 86 User Manual).
Fier, J.M., Fold Continuation and the flow between rotating, coaxial disks, Thesis, Part I, California Institute of Technology, Pasadena, Ca., 1985.
Griewank, A., G. W. Reddien, Characterization and computation of generalized turning points, SIAM J. Numer. Anal. 21, No. 1, 1984, 176–185.
Keller, H.B., Numerical solution of bifurcation and nonlinear eigenvalue problems, in: Applications of Bifurcation Theory, P.H. Rabinowitz, ed., Academic Press, 1977, 359–384.
Keller, H.B., Global homotopies and Newton methods, in: Recent Advances in Numerical Analysis, Academic Press, 1978, 73–94.
Kernévez, J.P., Enzyme Mathematics, North-Holland Press, Amsterdam, 1980.
Pereyra, V., Deferred corrections software and its application to seismic ray tracing in: Defect Correction Methods, K. Böhmer, H. Stetter, eds., Computing Suppl. 5, 1984, 211–226.
Poore, A.B., C.A. Tiahrt, Bifurcation problems in nonlinear parametric programming, Preprint, Dept. of Math., CSU, Fort Collins CO, 1986, to appear in Math. Prog.
Poore, A.B., The expanded Lagrangian system for constrained optimization problems, Preprint, Dept. of Math., CSU, Fort Collins CO, 1986.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Doedel, E.J., Kernévez, J.P. (1987). Optimization in bifurcation problems part II: Numerical method and applications. In: Kappel, F., Kunisch, K., Schappacher, W. (eds) Distributed Parameter Systems. Lecture Notes in Control and Information Sciences, vol 102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041991
Download citation
DOI: https://doi.org/10.1007/BFb0041991
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18468-3
Online ISBN: 978-3-540-47981-9
eBook Packages: Springer Book Archive