James A. Yorke studies dynamical systems and chaos. His joint 1984 paper with Celso Grebogi, Edward Ott and Steven Pelikan demonstrates strange nonchaotic attractors.[ref]
Strange attractors that are not chaotic by Celso Grebogi and others. Original byline and abstract
The construction distinguishes the geometry of an attracting set from the stability of motion on it. Two incommensurate forcing frequencies permit strange geometry without exponential divergence of nearby trajectories. Persistence is established for perturbations preserving the system's forcing type; arbitrary perturbations need not preserve that behavior.[ref]
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James A. Yorke is a prominent American mathematician known for his contributions to various fields including dynamical systems, chaos theory, and mathematical modeling. He is particularly recognized for coining the term "chaos" in a mathematical context and for his work on the mathematical underpinnings of chaotic systems. Yorke has also been involved in developing tools and concepts related to the study of bifurcation and strange attractors.