Chaotic oscillators : theory and applications
著者
書誌事項
Chaotic oscillators : theory and applications
World Scientific, c1992
- : pbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume brings together a comprehensive selection of over fifty reprints on the theory and applications of chaotic oscillators. Included are fundamental mathematical papers describing methods for the investigation of chaotic behavior in oscillatory systems as well as the most important applications in physics and engineering. There is currently no book similar to this collection.
目次
Part 1 Chaos before chaos: frequency demultiplication, B. Van der Pol and J. Van der Mark. Part 2 Description and quantification of chaotic behaviour: geometry from time series, N.H. Packard et al. Part 3 Analytical methods: a partial differential equation with infinitely many periodic orbits - chaotic oscillations of forced beam, P. Holmes and J. Marsden. Part 4 Classical non-linear oscillators - Duffing, Van der Pol and Pendulum: universal scaling property in bifurcation structure of Duffing's and generalized Duffing's equations, S. Sato et al. Part 5 Other oscillatory systems: complex dynamics of compliant off-shore structures, J.M.T. Thompson. Part 6 Chaos in noisy systems: fluctuations and onset of chaos, B.A. Huberman and J.P. Crutchfield. Part 7 Strange non-chaotic attractors: dimensions of strange nonchaotic attractors, M. Ding et al. Part 8 Spatial chaos: chaos as a limit in a boundary value problem, C. Kahlert and O.E. Rossler. Part 9 Fractal basin boundaries: fractal basin boundaries and homoclinic orbit for periodic motion in a two-well potential, F.C. Moon and G.H. Li.
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