Absolute versus convective instability of spiral waves

@article{Sandstede2000AbsoluteVC,
  title={Absolute versus convective instability of spiral waves},
  author={Sandstede and Scheel},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={2000},
  volume={62 6 Pt A},
  pages={7708-14}
}
  • Sandstede, Scheel
  • Published 2000 in
    Physical review. E, Statistical physics, plasmas…
Absolute and convective instabilities of spirals are investigated using the continuous and the so-called absolute spectrum. It is shown that the nature of transport, induced by an absolute instability, is determined by spectral data of the asymptotic wave trains. The results are applied to core and far-field breakup of spiral waves in excitable and oscillatory media. 

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