Spatially Localized Unstable Periodic Orbits
Publication
, Journal Article
Zoldi, SM; Greenside, HS
April 3, 1997
Using an innovative damped-Newton method, we report the first calculation of many distinct unstable periodic orbits (UPOs) of a large high-dimensional extensively chaotic partial differential equation. A majority of the UPOs turn out to be spatially localized in that time dependence occurs only on portions of the spatial domain. With a particular weighting of 127 UPOs, the Lyapunov fractal dimension D=8.8 can be estimated with a relative error of 2%. We discuss the implications of these spatially localized UPOs for understanding and controlling spatiotemporal chaos.
Duke Scholars
Publication Date
April 3, 1997
Citation
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Zoldi, S. M., & Greenside, H. S. (1997). Spatially Localized Unstable Periodic Orbits.
Zoldi, Scott M., and Henry S. Greenside. “Spatially Localized Unstable Periodic Orbits,” April 3, 1997.
Zoldi SM, Greenside HS. Spatially Localized Unstable Periodic Orbits. 1997 Apr 3;
Zoldi, Scott M., and Henry S. Greenside. Spatially Localized Unstable Periodic Orbits. Apr. 1997.
Zoldi SM, Greenside HS. Spatially Localized Unstable Periodic Orbits. 1997 Apr 3;
Publication Date
April 3, 1997