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 ...

We consider a specific type of nonlinear partial differential equation (PDE) that appears in mathematical finance as the result of solving some optimization problems. We review some examples of such ...

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 ...