Regularization of Brouwer translation theorem

Armengol Gasull; Jorge Groisman

doi:10.1007/s12346-022-00666-y

Regularization of Brouwer translation theorem

Armengol Gasull, Jorge Groisman

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Resum

The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. In this work we prove that if we start with a Cm,m∈N∪{∞}, diffeomorphism then the referred conjugacy has the same kind of regularity.

Idioma original	Anglès
Revista	Qualitative Theory of Dynamical Systems
Volum	21
Número	4
DOIs	https://doi.org/10.1007/s12346-022-00666-y
Estat de la publicació	Publicada - 2022

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10.1007/s12346-022-00666-y

https://ddd.uab.cat/record/267138

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STUDY OF CONTINUOUS AND DISCRETE DYNAMIC SYSTEMS WITH EMPHASIS ON THEIR BIFURCATIONS, PERIODIC ORBITS AND INTEGRABILITY
Llibre Salo, J. (Investigador/a principal), Torregrosa i Arús, J. (Co-Investigador/a Principal), Cufi Cabre, C. (Col.laborador/a), Carvalho, Y. R. (Col.laborador/a), Cousillas, G. (Col.laborador/a), Diz Pita, É. (Col.laborador/a), Ferragut Amengual, A. M. (Col.laborador/a), GOUVEIA, L. F. D. S. (Col.laborador/a), Iván Sánchez Sánchez (Col.laborador/a), Jiménez Ruíz, J. J. (Col.laborador/a), RODERO, A. L. (Col.laborador/a), Ramírez, V. (Col.laborador/a), Artes Ferragud, J. C. (Investigador/a), Caubergh , M. M. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi ., C. (Investigador/a), Soler Villanueva, J. (Investigador/a), Garrido Pelaez, J. M. (Col.laborador/a) & Valls Anglés, C. (Col.laborador/a)
1/06/20 → 29/02/24
Projecte: Projectes i Ajuts a la Recerca
Sistemas dinámicos en baja dimensión y aplicaciones
Alseda Soler, L. (Investigador/a principal), Rojas Perez, D. (Col.laborador/a), Romero Sánchez, D. (Col.laborador/a), Juher Barrot, D. (Investigador/a), Mañosas Capellades, F. (Investigador/a), Mondelo Gonzalez, J. M. (Investigador/a) & Borros Cullell, S. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO), Fons Europeu de Desenvolupament Regional (FEDER), Ministerio de Ciencia e Innovación (MICINN)
1/01/18 → 30/09/21
Projecte: Projectes i Ajuts a la Recerca

Com citar-ho

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title = "Regularization of Brouwer translation theorem",

abstract = "The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. In this work we prove that if we start with a Cm,m∈N∪\{∞\}, diffeomorphism then the referred conjugacy has the same kind of regularity.",

keywords = "Brouwer translation theorem, Smooth conjugation, Homeomorphism, Diffeomorphism",

author = "Armengol Gasull and Jorge Groisman",

year = "2022",

doi = "10.1007/s12346-022-00666-y",

language = "English",

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AB - The celebrated Brouwer translation theorem asserts that for a preserving orientation fixed point free homeomorphism of the plane, each point belongs to an invariant region where the dynamics is continuously conjugate to a translation. In this work we prove that if we start with a Cm,m∈N∪{∞}, diffeomorphism then the referred conjugacy has the same kind of regularity.

KW - Brouwer translation theorem

KW - Smooth conjugation

KW - Homeomorphism

KW - Diffeomorphism

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UR - https://www.scopus.com/pages/publications/85139266897

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JF - Qualitative Theory of Dynamical Systems

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Regularization of Brouwer translation theorem

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STUDY OF CONTINUOUS AND DISCRETE DYNAMIC SYSTEMS WITH EMPHASIS ON THEIR BIFURCATIONS, PERIODIC ORBITS AND INTEGRABILITY

Sistemas dinámicos en baja dimensión y aplicaciones

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