Bifurcation and chaos in engineering
著者
書誌事項
Bifurcation and chaos in engineering
Springer, c1998
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注記
Includes bibliograohical references (p. [436]-450) and index
内容説明・目次
内容説明
This text deals with modern analytical methods of nonlinear science, dynamic systems, and the basic concepts of the theory and its applications in engineering. The authors discuss methods of Liapunov-Schmidt reduction, central manifold, normal form, averaging, computational methods for harmonic balance, symplectic integration and invariant torus. Applications to solid mechanics, rotating shaft, flutter and galloping are given.
目次
1. Dynamic Systems, Ordinary Differential Equations and Stability of Motion 2. Calculation of Flows 3. Discrete Dynamic Systems 4. Liapunov-Schmidt Reduction 5. Center Manifold Theorem and Normal Form 6. Hopf Bifurcation 7. Averaging Method in Bifurcation Theory 8. Introduction to Chaos 9. Construction of Chaotic Regions 10. Numerical Methods 11. Nonlinear Structural Dynamics.
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