article · Chaos An Interdisciplinary Journal of Nonlinear Science · 2001

Scroll waves in spherical shell geometries

Raúl Chávez, Raymond Kapral, Guillaume Rousseau, Leon Glass

Cited by 21Abstract and details only

Abstract

The evolution of scroll waves in excitable media with spherical shell geometries is studied as a function of shell thickness and outer radius. The motion of scroll wave filaments that are the locii of phaseless points in the medium and organize the wave pattern is investigated. When the inner radius is sufficiently large the filaments remain attached to both the inner and outer surfaces. The minimum size of the sphere that supports spiral waves and the maximum number of spiral waves that can be sustained on a sphere of given size are determined for both regular and random initial distributions. When the inner radius is too small to support spiral waves the filaments detach from the inner surface and form a curved filament connecting the two spiral tips in the surface. In certain parameter domains the filament is an arc of a circle that shrinks with constant shape. For parameter values close to the meandering border, the filament grows and collisions with the sphere walls lead to turbulent filament dynamics. (c) 2001 American Institute of Physics.

Cite this paper

APA 7

Chávez, R., Kapral, R., Rousseau, G., & Glass, L. (2001). Scroll waves in spherical shell geometries. Chaos An Interdisciplinary Journal of Nonlinear Science, 11(4), 757–765. https://doi.org/10.1063/1.1406537

MLA 9

Chávez, Raúl, et al. “Scroll waves in spherical shell geometries.” Chaos An Interdisciplinary Journal of Nonlinear Science, vol. 11, no. 4, 2001, pp. 757–65, https://doi.org/10.1063/1.1406537.

Chicago

Chávez, Raúl, Raymond Kapral, Guillaume Rousseau, and Leon Glass. 2001. “Scroll waves in spherical shell geometries.” Chaos An Interdisciplinary Journal of Nonlinear Science 11 (4): 757–65. https://doi.org/10.1063/1.1406537.

Harvard

Chávez, R. et al. (2001) ‘Scroll waves in spherical shell geometries’, Chaos An Interdisciplinary Journal of Nonlinear Science, 11(4), pp. 757–765. Available at: https://doi.org/10.1063/1.1406537.

BibTeX

@article{chavez2001scroll,
  title = {{Scroll waves in spherical shell geometries}},
  author = {Chávez, Raúl and Kapral, Raymond and Rousseau, Guillaume and Glass, Leon},
  journal = {Chaos An Interdisciplinary Journal of Nonlinear Science},
  volume = {11},
  number = {4},
  pages = {757--765},
  year = {2001},
  doi = {10.1063/1.1406537}
}

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