Alexander L Fetter, John Dirk Walecka

Nonlinear Mechanics

A Supplement to Theoretical Mechanics of Particles and Continua

• Broschiertes Buch

Produktbeschreibung

In their prior Dover book, the authors provided a self-contained account of classical mechanics; this supplement/update offers a bridge to contemporary mechanics. Topics include nonlinear continuous systems. 2006 edition.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 160
• Erscheinungstermin: 16. Juni 2006
• Englisch
• Abmessung: 237mm x 156mm x 12mm
• Gewicht: 216g
• ISBN-13: 9780486450315
• ISBN-10: 0486450317
• Artikelnr.: 21979358

Autorenporträt

Alexander L. Fetter and John Dirk Walecka

Inhaltsangabe

Part 1. Introduction 1. Motivation Part 2. Nonlinear Continuous Systems 2.
Linearized stability analysis 3. Rayleigh-Bénard problem: basic formulation
4. Rayleigh-Bénard problem: linearized theory of convective instability 5.
Rayleigh-Bénard problem: expansion in Fourier modes 6. Lorenz equations:
direct derivation for simple physical configuration Part 3. Discrete
Dynamical Systems 7. Example of a nonlinear oscillator 8. Phase-space
dynamics and fixed points 9. Lorenz model 10. M odel finite-difference
equation: logistic map 11. Liouville's theorem revisited 12. Action-angle
variables revisited 13. Perturbation of periodic Hamiltonian systems 14.
Coupled separable periodic Hamiltonian systems Part 4. Problems References
Index