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Title:
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Pointwise periodic maps with quantized first integrals
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Author:
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Cima, A.; Gasull, A.; Mañosa, V.; Mañosas, F.
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Abstract:
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We describe the global dynamics of some pointwise periodic piecewise linear maps in the plane that exhibit interesting dynamic features. For each of these maps we find a first integral. For these integrals the set of values are discrete, thus quantized. Furthermore, the level sets are bounded sets whose interior is formed by a finite number of open tiles of certain regular or uniform tessellations. The action of the maps on each invariant set of tiles is described geometrically. © 2021 The Authors |
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Publication date:
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2022-05-01 |
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Subject (UDC):
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51 - Matemàtiques |
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Subject(s):
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Periodic points; Piecewise linear maps; Pointwise periodic maps; Quantized first integrals; Regular and uniform tessellations |
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Rights:
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L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/ |
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Pages:
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26 p. |
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Document type:
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Article
Article - Published version |
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DOI:
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10.1016/j.cnsns.2021.106150
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Published by:
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Elsevier B.V.
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Publish at:
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Communications in Nonlinear Science and Numerical Simulation
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