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標(biāo)題: Titlebook: Normally Hyperbolic Invariant Manifolds in Dynamical Systems; Stephen Wiggins Textbook 1994 Springer Science+Business Media New York 1994 [打印本頁]

作者: 衰退    時(shí)間: 2025-3-21 17:31
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作者: Daily-Value    時(shí)間: 2025-3-21 22:01

作者: COUCH    時(shí)間: 2025-3-22 04:15
0066-5452 rtant tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the study of resonance phenomena in coupled oscill
作者: 勉勵(lì)    時(shí)間: 2025-3-22 06:20
The Unstable Manifold of an Overflowing Invariant Manifold,he unstable manifold of .. Afterward, we will show that this unstable manifold also satisfies the hypotheses of the persistence theorem for overflowing invariant manifolds. Hence, . will also have an unstable manifold under appropriate hypotheses. We begin developing the setting in much the same way as earlier.
作者: STERN    時(shí)間: 2025-3-22 09:38

作者: forecast    時(shí)間: 2025-3-22 14:36
https://doi.org/10.1007/978-1-4612-4312-0dynamical systems; dynamics; manifold
作者: Champion    時(shí)間: 2025-3-22 18:49

作者: 征兵    時(shí)間: 2025-3-22 22:52

作者: GORGE    時(shí)間: 2025-3-23 04:49
Examples,In this chapter we collect together several examples that illustrate the use and range of the theory developed in the previous chapters.
作者: intolerance    時(shí)間: 2025-3-23 06:31

作者: Lumbar-Spine    時(shí)間: 2025-3-23 10:58
Normally Hyperbolic Invariant Manifolds in Dynamical Systems978-1-4612-4312-0Series ISSN 0066-5452 Series E-ISSN 2196-968X
作者: conformity    時(shí)間: 2025-3-23 14:28

作者: magnate    時(shí)間: 2025-3-23 21:00
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
作者: 憂傷    時(shí)間: 2025-3-23 23:10

作者: Haphazard    時(shí)間: 2025-3-24 03:58
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
作者: 考博    時(shí)間: 2025-3-24 09:28

作者: Cuisine    時(shí)間: 2025-3-24 10:44

作者: 漂浮    時(shí)間: 2025-3-24 15:00
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
作者: Fibrillation    時(shí)間: 2025-3-24 19:45

作者: 確定方向    時(shí)間: 2025-3-25 02:38
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
作者: 錯(cuò)    時(shí)間: 2025-3-25 04:29

作者: 道學(xué)氣    時(shí)間: 2025-3-25 09:38
Stephen Wigginstrol. These functional changes in microvascular function have a compounding relationship with structural changes in the cutaneous microcirculation of the diabetic foot. Ultimately, such adverse adaptations in function and structure contribute to the formation of diabetic foot complications such as u
作者: 獎(jiǎng)牌    時(shí)間: 2025-3-25 15:30
Stephen Wigginsbut on occasion alter the appearance of the foot in ways that may obscure the clinical features of local infection. Neuropathy involving the motor fibers supplying muscles of the foot causes asymmetric muscle weakness, atrophy, and paresis, which in turn result in foot deformities and maldistributio
作者: TIGER    時(shí)間: 2025-3-25 16:33
Introduction, Motivation, and Background,ant manifolds which are called the stable and unstable manifolds, respectively, of the invariant manifold. Moreover, the stable and unstable manifolds may be . or . by lower dimensional submanifolds having the property that trajectories starting on these . satisfy certain asymptotic growth rate cond
作者: 猛擊    時(shí)間: 2025-3-25 23:25
Background from the Theory of Differentiable Manifolds, often arising as surfaces in the phase space. Consequently, we choose to develop the concept of a differentiable manifold as a surface embedded in ?. (loosely following the exposition of Milnor [1965] and Guillemin and Pollack [1974]) and refer the reader to any differential geometry textbook for t
作者: lymphoma    時(shí)間: 2025-3-26 01:22
Textbook 1994 In general, the Fenichel theory is very valuable for many applications, but it is not easy for people to get into from existing literature. This book provides an excellent avenue to that. Wiggins also describes a variety of settings where these techniques can be used in applications.
作者: Mere僅僅    時(shí)間: 2025-3-26 07:53
Stephen Wigginstes and determine the success of therapeutic interventions. This chapter will summarize these methods used to assess the cutaneous microcirculation while also describing the respective roles of hyperglycemia, insulin resistance, and inflammation in endothelial dysfunction and its complex relationship with neurovascular function.
作者: Condense    時(shí)間: 2025-3-26 08:32

作者: thyroid-hormone    時(shí)間: 2025-3-26 13:12
Stephen Wigginshapter will summarize these methods used to assess the cutaneous microcirculation while also describing the respective roles of hyperglycemia, insulin resistance, and inflammation in endothelial dysfunction and its complex relationship with neurovascular function.
作者: 搜尋    時(shí)間: 2025-3-26 20:14
Stephen Wigginst class of master regulators to regulate diverse cellular functions essential for skin wound healing. Here, we will discuss the recent advancements on miRNA regulation of tissue repair processes and their potential as novel therapeutic targets to accelerate healing in diabetic patients.
作者: 許可    時(shí)間: 2025-3-26 21:58
0066-5452 This book provides an excellent avenue to that. Wiggins also describes a variety of settings where these techniques can be used in applications.978-1-4612-8734-6978-1-4612-4312-0Series ISSN 0066-5452 Series E-ISSN 2196-968X
作者: 接合    時(shí)間: 2025-3-27 03:15
these processes. While many of these therapies have yet to provide a clinical proof-of-concept, the variety of strategies raises hope that novel and more specific diagnostic and therapeutic options will be available in the next decade.
作者: 有危險(xiǎn)    時(shí)間: 2025-3-27 07:20

作者: 徹底明白    時(shí)間: 2025-3-27 13:08

作者: Bravado    時(shí)間: 2025-3-27 14:49

作者: 一罵死割除    時(shí)間: 2025-3-27 18:44

作者: faucet    時(shí)間: 2025-3-27 22:46
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作者: harbinger    時(shí)間: 2025-3-28 04:48
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作者: 拱形面包    時(shí)間: 2025-3-28 08:05
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作者: resilience    時(shí)間: 2025-3-28 11:11
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