Nonlinear differential equations and dynamical systems
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Title Statements
- Full title :Nonlinear differential equations and dynamical systems / Ferdinand Verhulst.
Edition Statements
- Publication Date:©1990.
Publication Statements
- Publisher(s):Springer-Verlag
- Place of Publication:Berlin
- Language:eng
- Publication Date:©1990.
Notes
Translation of: Nietlineaire differentiaalvergelijkingen en dynamische systemen.
The Physical Object
- Description:ix, 277 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:0387506284, 9780387506289, 3540506284, 9783540506287
- oclc:ocm20296799
- LC Classification:QA372
- Dewey Decimal:515/.355
Table of Contents
Autonomous equations -- Critical points -- Periodic solutions -- Introduction to the theory of stability -- Linear equations -- Stability by linearisation -- Stability analysis by the direct method -- Introduction to perturbation theory -- The Poincaré-Lindstedt method -- The method of averaging -- Relaxation oscillations -- Bifurcation theory -- Chaos -- Hamiltonian systems. Appendices: The Morse lemma -- Linear periodic equations with a small parameter -- Trigonometric formulas and averages.
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