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The Effect of External Fields

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Spatio-Temporal Pattern Formation

Part of the book series: Partially Ordered Systems ((PARTIAL.ORDERED))

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Abstract

Spatially or temporally modulated systems are very common in nature, and the effect of external fields on these systems has long been studied. For example, the forcing of a large variety of nonlinear oscillators, from the pendulum to Van der Pol or Duffing oscillators, has led to detailed studies of the different temporal behaviors that were obtained. It has been shown that the resonant couplings between the forcing and the oscillatory modes may lead to several types of complex dynamical patterns, including quasi-periodicity, frequency lockings, devil’s staircases, chaos, and intermittency [8.1] and [8.2].

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Walgraef, D. (1997). The Effect of External Fields. In: Spatio-Temporal Pattern Formation. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1850-0_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1850-0_8

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