 | Predrag Cvitanović Dimension of turbulence? | |
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P Cvitanović Turbulence in spacetime overheads (Apr 13, 2023 Working across scales in complex systems - Emory - 15 min) |
If there is one idea you should take from everything presented on this webpage, it is this: stop integrating unstable, turbulent, chaotic systems forward in time. Describe instead the repertoire of admissible spatiotemporal patterns, starting with the smallest, and working your way up to larger spatiotemporal domains. |
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P Cvitanović
High (dimensional) life overheads (Jul 24, 2024 Mathematical Methods in Computational Neuroscience 2024 - Eresfjord - 35 min) |
How covariant vectors give a sharp definition of the dimension of an attracting "inertial manifold" embedded in a high-dimensional state space. (Video do be added.) |
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Predrag Cvitanović -
Turbulence: How fat is it?
KITP Conference: Recurrence, Self-Organization, and the Dynamics Of Turbulence, Jan 10, 2017 |
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Geometry of inertial manifolds in nonlinear dissipative dynamical systems
Xiong Ding (Ph.D. thesis, Georgia Tech 2017) |
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Estimating dimension of inertial manifold from unstable periodic orbits
Xiong Ding, H. Chaté, Predrag Cvitanović, E. Siminos, and K. A. Takeuchi arXiv:1604.01859 |
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Periodic eigendecomposition and its application to Kuramoto-Sivashinsky system
Xiong Ding and Predrag Cvitanović arXiv:1406.4885 |