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On the Poincare Index of Isolated Invariant Sets
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نویسنده
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RAZVAN M. R. ,FOTOUHI M.
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منبع
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scientia iranica - 2008 - دوره : 15 - شماره : 6 - صفحه:574 -577
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چکیده
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In this paper, the conley index theory is used to examine the poincare index of an isolatedinvariant set. some limiting conditions on a critical point of a planar vector field are obtainedto be an isolated invariant set. as a result, the existence of infinitely many homoclinic orbits fora critical point with the poincare index greater than one is shown.
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کلیدواژه
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Conley index; Homoclinic orbit; Poincare-Lefchetz duality; Poincare index.
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آدرس
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sharif university of technology, DEPARTMENT OF MATHEMATICS, ایران, sharif university of technology, DEPARTMENT OF MATHEMATICS, ایران
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پست الکترونیکی
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fotouhi@sharif.edu
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Authors
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