Chaotic synchronization of Piecewise Linear Maps

• Autor(es): Caneco, Acilina ; Rocha, Jose ; Gracio, Clara
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/10174/9205
• Origem: Repositório Científico da Universidade de Évora
• Assunto(s): Chaotic; Synchronization; Piecewise linear
• Tipo de Documento: Artigo
• Idioma: Inglês
• Editor(es): Elaydi, Saber; Oliveira, Henrique; Ferreira, Jose; Alves, Joao

Descrição

We derive a threshold value for the coupling strength in terms of the topological entropy, to achieve synchronization of two coupled piecewise linear maps, for the unidirectional and for the bidirectional coupling. We prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the bidirectional coupling of two identical chaotic Duffing equations is given.