Computer Assisted Existence Proof of Subharmonic Solutions for the Simultaneous Delayed El Niño Equation

Abstract

Abstract. Existence of a variety of periodic solutions are proved using verified numerical computations for a simultaneous nonlinear delay differential equation modeling an interaction between two adjacent region’s see surface temperature. In this simultaneous equation, one dependent variable describes a see surface temperature near Peru, where El Niño phenomena occurs. The other dependent variable describes a see surface temperature of the adjacent region located easter than the first area, where El Niño phenomena does not occur.