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Titlebook: Normally Hyperbolic Invariant Manifolds in Dynamical Systems; Stephen Wiggins Textbook 1994 Springer Science+Business Media New York 1994

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發(fā)表于 2025-3-23 10:58:30 | 只看該作者
Normally Hyperbolic Invariant Manifolds in Dynamical Systems978-1-4612-4312-0Series ISSN 0066-5452 Series E-ISSN 2196-968X
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發(fā)表于 2025-3-23 14:28:57 | 只看該作者
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發(fā)表于 2025-3-23 21:00:14 | 只看該作者
Background from the Theory of Differentiable Manifolds,e will need to understand the definition of a differentiable manifold, the tangent space at a point, the tangent bundle, and the derivatives of maps defined on differentiable manifolds. These notions will be crucial for discussing the dynamics near an invariant manifold. We will not develop these co
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發(fā)表于 2025-3-23 23:10:08 | 只看該作者
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發(fā)表于 2025-3-24 03:58:03 | 只看該作者
Foliations of Unstable Manifolds, rate. These will also turn out to be the initial conditions for trajectories in ..(.) that approach the same trajectory in . (in negative time). The geometrical setup for this situation, in the sense of the construction of local coordinates near . and ..(.), is the same as that for the proof of the
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發(fā)表于 2025-3-24 09:28:44 | 只看該作者
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發(fā)表于 2025-3-24 10:44:32 | 只看該作者
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發(fā)表于 2025-3-24 15:00:11 | 只看該作者
Stephen Wigginsso estimated that 96?million are thought to have prediabetes. Diabetes is currently the eighth leading cause of death in the United States, while health care spending on diabetes is soaring with an estimate of $327?billion, of which 43% is spent on hospital care to treat diabetes and its complicatio
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發(fā)表于 2025-3-24 19:45:45 | 只看該作者
20#
發(fā)表于 2025-3-25 02:38:36 | 只看該作者
Stephen Wiggins. While traditional wound therapies can be successful at treating moderate DFUs when detected early, they often fall short in treating more severe cases which can lead to secondary ulcer formation or lower extremity amputations. To remedy this, a number of FDA-approved therapies have been developed
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