Stability,periodicity, and symmetries of certain second‐order fractional difference equation with quadratic terms via KAM theory |
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| Authors: | Mirela Gari?‐Demirovi? M Nurkanovi? Z Nurkanovi? |
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| Institution: | Department of Mathematics, University of Tuzla, Tuzla, Bosnia and Herzegovina |
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| Abstract: | By using the Kolmogorov–Arnold–Moser theory, we investigate the stability of the equilibrium solution of the difference equation ![urn:x-wiley:mma:media:mma4000:mma4000-math-0001]( "urn:x-wiley:mma:media:mma4000:mma4000-math-0001") where A ,B ,D > 0,u ?1,u 0>0. We also use the symmetries to find effectively the periodic solutions with feasible periods. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | area‐preserving map Birkhoff normal form KAM theorem stability periodicity twist coefficient |
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