Universal scaling in dissipative systems

C. Chen, G. Györgyi, G. Schmidt

Research output: Contribution to journalArticle

19 Citations (Scopus)


The universality of strange attractors is explored. In order to explain the scaling properties of these attractors, renormalization theory is extended between two-dimensional Hamiltonian and one-dimensional strongly dissipative systems. The theory describes the crossover behavior between Hamiltonian and one-dimensional maps. The universal Hamiltonian map T* serves as the generator for dissipative maps via repeated iterations of a renormalization operator. These maps exhibit universal scaling for period doubling, strange attractors and their crisis, Liapunov exponents, and dimensions.

Original languageEnglish
Pages (from-to)2660-2668
Number of pages9
JournalPhysical Review A
Issue number6
Publication statusPublished - Jan 1 1987

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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