Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

SIAM Journal on Applied Mathematics, Vol. 17, No. 3 (May, 1969), pp. 511-515 (5 pages) In this paper, a method of synthesizing the governing differential equations of nonlinear second order systems, ...

Proceedings of the American Mathematical Society, Vol. 79, No. 3 (Jul., 1980), pp. 415-421 (7 pages) Positive solutions of $y^{(n)} \pm f(t, y) = 0$ are characterized ...

Chaotic circuits can arise from either computed (using Analog Computers or Digital Computers) solutions to coupled differential equations or from unstable systems/circuits. A new open-source circuit ...