Chaos Theory & Differential Equations

her mathematical theory known as Cartwright's Theorem gives an estimate for the maximum modulus of an analytic function that takes the same value no more than p times in the unit disc; her collaboration with J. E. Littlewood greatly influenced the direction that the modern theory of dynamical systems has taken; 1945 simplified Hermite's elementary proof of the irrationality of Pi; some of her work described deep & delicate phenomena which can appear near fractal boundaries & have found new applications in this field; did work on cluster sets in 1950s; the Cartwright Theorem is applied in signal processing & is her most important work in the theory of functions; did work on directions of Borel spreads; with Littlewood developed the Fixed Point Theorem; worked with E. F. Collingwood on the theory of cluster sets; worked with H. P. F. Swinnterton-Dyer on boundedness theorems for second-order differential equations; worked with Littlewood on the solutions of the Van der Pol equation

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Category:
Mathematics

Completion Status:
yes

Patent Number:
N/A

Co-Inventor:
None