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Rate-Dependent Bifurcations and Isol...
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Hahn, Jonathan.
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Rate-Dependent Bifurcations and Isolating Blocks in Nonautonomous Systems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Rate-Dependent Bifurcations and Isolating Blocks in Nonautonomous Systems./
作者:
Hahn, Jonathan.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:
83 p.
附註:
Source: Dissertation Abstracts International, Volume: 79-03(E), Section: B.
Contained By:
Dissertation Abstracts International79-03B(E).
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10636591
ISBN:
9780355521689
Rate-Dependent Bifurcations and Isolating Blocks in Nonautonomous Systems.
Hahn, Jonathan.
Rate-Dependent Bifurcations and Isolating Blocks in Nonautonomous Systems.
- Ann Arbor : ProQuest Dissertations & Theses, 2017 - 83 p.
Source: Dissertation Abstracts International, Volume: 79-03(E), Section: B.
Thesis (Ph.D.)--University of Minnesota, 2017.
We examine rate-dependent tipping and the behavior of solutions to nonautonomous systems from a topological perspective. We analyze an example of a rate-dependent bifurcation in which steady solutions begin to spiral, yet remain in a bounded region around a moving equilibrium. This example motivates us to develop a theory of isolating blocks for invariant sets in nonautonomous systems. Our examination of these isolating blocks reveals that solutions in rate-dependent systems are structurally stable; the rate-dependent forcing may have some amount of noise while the underlying behavior of solutions to the system remains the same. We also find isolating blocks useful for placing bounds on critical values for rate-dependent tipping in nonautonomous systems. Finally, we introduce rate-dependent tipping for discrete maps.
ISBN: 9780355521689Subjects--Topical Terms:
515831
Mathematics.
Rate-Dependent Bifurcations and Isolating Blocks in Nonautonomous Systems.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10636591
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