Research Catalog
Elementary stability and bifurcation theory
- Title
- Elementary stability and bifurcation theory / Gérard Iooss, Daniel D. Joseph.
- Author
- Iooss, Gérard
- Publication
- New York : Springer-Verlag, [1980]
- ©1980
Items in the Library & Off-site
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Book/Text | Use in library | QA372 .I68 | Off-site |
Details
- Additional Authors
- Joseph, Daniel D.
- Description
- xv, 286 pages : illustrations; 24 cm
- Series Statement
- Undergraduate texts in mathematics
- Uniform Title
- Undergraduate texts in mathematics
- Subject
- Differential equations > Numerical solutions
- Evolution equations > Numerical solutions
- Stability
- Bifurcation theory
- stability
- Differentialgleichung
- Evolutionsgleichung
- Numerisches Verfahren
- Stabilität
- Verzweigung Mathematik
- Differentiaalvergelijkingen
- Evolutionaire vergelijkingen
- Bifurcatie
- Équations différentielles > Solutions numériques
- Équations d'évolution > Solutions numériques
- Stabilité
- Bifurcation, Théorie de la
- Bibliography (note)
- Includes bibliographies and index.
- Contents
- Equilibrium solutions of evolution problems -- Bifurcation and stability of steady solutions of evolution equations in one dimension -- Imperfection theory and isolated solutions which perturb bifurcation -- Stability of steady solutions of evolution equations in two dimensions and n dimensions -- Bifurcation of steady solutions in two dimensions and the stability of the bifurcating solutions -- Implicit function theorem for a system of two equations in two unknown functions of one variable -- Methods of projection for general problems of bifurcation into steady solutions -- Examples of the method of projection -- Bifurcation of periodic solutions from steady ones (Hopf bifurcation) in two dimensions -- Bifurcation of periodic solutions in the general case -- Subharmonic bifurcation of forced T-periodic solutions -- Bifurcation of forced T-periodic solutions into asymptotically quasi-periodic solutions -- Computation of asymptotically quasi-periodic solutions which bifurcate at rational points of higher order (n≥5) by the method of power series using the Fredholm alternative -- Direct computation of asymptotically quasi-periodic solutions which bifurcate at irrational points using the method of two times, power series, and the Fredholm alternative -- Direct computation of asymptotically quasi-periodic solutions which bifurcate at rational points of higher order using the method of two times -- Secondary subharmonic and asymptotically quasi-periodic bifurcation of periodic solutions of (Hopf's type) in the autonomous case.
- ISBN
- 0871503018
- 9780871503015
- 038790526X
- 9780387905266
- 354090526X
- 9783540905264
- LCCN
- 80020782
- OCLC
- ocm06648545
- 6648545
- SCSB-27379
- Owning Institutions
- Princeton University Library