Nonlinear ordinary differential equations ; : an introduction for scientists and engineers / D.W. Jordan and P. Smith.
Material type:
TextPublication details: Oxford : Oxford University Press, 2007.Edition: 4th edDescription: viii, 531 p. : ill. ; 26 cmISBN: - 9780199208241:
- 9780199208258:
- 515.352
- .J58 2007
| Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| General Lending | Carlow Campus Library General Lending | 515.352 (Browse shelf(Opens below)) | 1 | Available | 58684 |
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CW508
Includes bibliographical references (p. [521]-523) and index.
Second-order differential equations in the phase plane -- Plane autonomous systems and linearization -- Geometrical aspects of plane autonomous systems -- Periodic solutions; averaging methods -- An energy-balance method for limit cycles -- Perturbation methods -- Singular perturbation methods -- Forced oscillations: harmonic and subharmonic response, stability,and entrainment -- Stability -- Stability by solution perturbation: Mathieu's equation -- Liapunov methods for determining stability of the zero solution -- The existence of periodic solutions -- Bifurcations and manifolds -- Poincard sequences, homoclinic bifurcation, and chaos -- Appendices -- A Existence and uniqueness theorems -- B Topographic systems -- C Norms for vectors and matrices -- D A contour integral -- E Useful results
34.91