Characteristic exponents of chaotic repellers as eigenvalues
1986; Elsevier BV; Volume: 119; Issue: 2 Linguagem: Inglês
10.1016/0375-9601(86)90415-9
ISSN1873-2429
Autores Tópico(s)Chaos control and synchronization
ResumoA new type of eigenvalue problem is introduced whose solution provides a spectrum of characteristic exponents for chaotic repellers or semi-attractors. In explicitly tractable examples this spectrum coincides with that of the generalized dimensions. The eigenvalues form a continuum of fractal measures with a smooth density along unstable directions.
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