Abstract
The interaction between stationary localized states have long been studied, but localized states may undergo a number of instabilities that lead to more complicated dynamical regimes. In this case, the effects of the interaction are much less known. This chapter addresses the problem of the interaction between oscillatory and excitable localized states in a Kerr cavity. These oscillatory structures can be considered as non punctual oscillators with a highly non-trivial spatial coupling, which leads to rather complicated dynamics beyond what can be explained in terms of simple coupled oscillators.We also explore the possibility of using coupled excitable localized structures to build all-optical logical gates.
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© 2011 Springer-Verlag Berlin Heidelberg
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Gomila, D., Jacobo, A., Matías, M.A., Colet, P. (2011). Interaction of oscillatory and excitable localized states in a nonlinear optical cavity. In: Descalzi, O., Clerc, M., Residori, S., Assanto, G. (eds) Localized States in Physics: Solitons and Patterns. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16549-8_12
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DOI: https://doi.org/10.1007/978-3-642-16549-8_12
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16548-1
Online ISBN: 978-3-642-16549-8
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