Universal scaling in dissipative systems

C. Chen, G. Györgyi, G. Schmidt

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Volume35
Issue number6
DOIs
Publication statusPublished - Jan 1 1987

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Fingerprint Dive into the research topics of 'Universal scaling in dissipative systems'. Together they form a unique fingerprint.

  • Cite this