Título: | COMPLETE SYNCHRONIZATION IN DELAYED COUPLED MAP LATTICES | ||||||||||||
Autor: |
MAXIMILIANO ENRIQUE CONTRERAS LOPEZ |
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Colaborador(es): |
CELIA BEATRIZ ANTENEODO DE PORTO - Orientador |
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Catalogação: | 05/ABR/2019 | Língua(s): | ENGLISH - UNITED STATES |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=37619&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=37619&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.37619 | ||||||||||||
Resumo: | |||||||||||||
We study complete synchronization in rings of logistic maps, using an advection-diffusion coupling scheme. The range of the interactions decays algebraically with distance between maps, sweeping from the totally connected to nearest-neighbor model, with synchronous or delayed lattice update. We studied the effects of delays and advection separately and combined. Although numerical studies were performed using the logistic map as local dynamics, some analytical results are more general. In the synchronous dynamics, synchronized states are chaotic, while the presence of delays allows synchronization in regular orbits. However, a strong contribution of delays in the updating can also produce chaotic synchronization. In all cases, longer interaction range favors synchronization, advection hinders synchronization and delays compensate the destructive effects of advection.
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