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Heteroclinic and Periodic Cycles in a Perturbed Convection Model

✍ Scribed by Xiao-Biao Lin; Ignacio B. Vivancos


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
883 KB
Volume
182
Category
Article
ISSN
0022-0396

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Eigenvalues in spectral gaps of a pertur
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## Abstract We consider a non‐compact Riemannian periodic manifold such that the corresponding Laplacian has a spectral gap. By continuously perturbing the periodic metric locally we can prove the existence of eigenvalues in a gap. A lower bound on the number of eigenvalue branches crossing a fixed