1987/10/30 by Celso Grebogi, Edward Ott, James A. Yorke · 440 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Attractor #Chaos control and synchronization #Chaotic #Complex Systems and Time Series Analysis #Complex dynamics #Computer science #Control (management) #Control of chaos #Control theory (sociology) #Coupled map lattice #Dissipative system #Fractal #Mathematical analysis #Mathematics #Nonlinear system #Physics #Predictability #Quantum chaos and dynamical systems #Quantum mechanics #Realization (probability) #Statistical physics #Synchronization of chaos #Universality (dynamical systems)
paper · doi:10.1126/science.238.4827.632
published in Science 238(4827), 632-638 (American Association for the Advancement of Science)
openalex publication_date 1987/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Recently research has shown that many simple nonlinear deterministic systems can behave in an apparently unpredictable and chaotic manner. This realization has broad implications for many fields of science. Basic developments in the field of chaotic dynamics of dissipative systems are reviewed in this article. Topics covered include strange attractors, how chaos comes about with variation of a system parameter, universality, fractal basin boundaries and their effect on predictability, and applications to physical systems.