引水渠
发表于 2025-3-27 00:56:56
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Palter
发表于 2025-3-27 05:10:36
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SEEK
发表于 2025-3-27 07:05:11
The Slow Divergence IntegralA crucial notion in the study of the dynamics near a slow-fast cycle is the slow divergence integral. It is introduced in an intrinsic way and it is proved to be invariant under smooth time changes. Attention goes to calculating it in practice.
思考才皱眉
发表于 2025-3-27 12:25:06
Breaking MechanismsIn generating closed orbits from slow-fast cycles it is necessary to make use of so called breaking mechanisms. The chapter deals with the most generic ones, namely the jump breaking mechanism and the Hopf breaking mechanism. A description, accompanied by examples, is given.
六个才偏离
发表于 2025-3-27 16:59:28
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石墨
发表于 2025-3-27 19:48:48
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legislate
发表于 2025-3-27 23:53:35
Local Transition MapsUsing the normal forms introduced in Chap. . the transitions near the singularities, showing up after blowing up the contact points, are described in terms of the functions that are introduced in Chap. .. Together with Chap. . on the blow-up technique this chapter forms the heart of the book.
osteoclasts
发表于 2025-3-28 04:54:47
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MAG
发表于 2025-3-28 07:42:59
Outlook and Open ProblemsThe chapter contains a number of open problems and questions in view of a possible generalization of the theory, restricting to two dimensions. A quite ambitious programme for further study is presented, focusing on a number of steps that have already been taken in that direction.
Comprise
发表于 2025-3-28 12:59:22
Basic Definitions and Notionsthe variation of situations that is dealt with, as well as examples that are beyond the scope of the book. Attention also goes to the more common and more restricted definitions. The chapter ends by stressing the big difference between singular points that are normally hyperbolic and the other ones, that are called contact points.