Patent ID: 9116838
Filing Date: 2015-08-25
Classification: G06F,G06N

Abstract:
1. A method of calculating a Lyapunov exponent for a series of time-dependent differential equations describing a chaotic system using a computer processor, wherein the computer processor uses the method comprising: selecting a variable in the series of differential equations indicative of a condition in the chaotic system, obtaining an initial value of the variable at an initial time t(i), selecting a first precision and a second, higher precision for the variable, starting with the initial value of the variable at initial time t(i), iterating the series of differential equations to a time t(n) at the first precision and obtaining a first precision t(n) value for the variable, starting with the initial value of the variable at initial time t(i), iterating the series of differential equations to time t(n) at the second, higher precision to time t(n), and obtaining a second, higher precision t(n) value for the variable, calculating the Lyapunov exponent from the first precision t(n) value with the second, higher precision t(n) value wherein the logic configured to calculate the Lyapunov exponent calculates the equation: wherein: ƒ is a system of time-dependent differential equations describing a chaotic system, X is an independent variable, i and j are indexes and t is time and generating and displaying weather forecast maps based on the results of the calculation.