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Chaotic Oscillators

Theory and Applications
Authors: T Kapitaniak;

Chaotic Oscillators

Abstract

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Average
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