Slow manifolds form a complex optimization landscape.
<p>(A) An embedding of 10<sup>3</sup> trajectories with different initial conditions in an ill-conditioned ecosystem (). The global equilibrium is marked with a star, and the corresponding solutions of the degenerate () case are overlaid (blue). (B) Time that ill-conditioned trajec...
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2025
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| Summary: | <p>(A) An embedding of 10<sup>3</sup> trajectories with different initial conditions in an ill-conditioned ecosystem (). The global equilibrium is marked with a star, and the corresponding solutions of the degenerate () case are overlaid (blue). (B) Time that ill-conditioned trajectories for different random ecosystems (colored by condition number) spend near the former () solutions, versus the solution’s Morse instability index. (C) Projection of a single trajectory onto the right singular vectors associated with the largest (red) and smallest (blue) singular values.</p> |
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