A Case Study on Squarification in Probabilistic Evolution Theory (PREVTH) for Henon-Heiles Systems

Abstract: The Probabilistic Evolution Theory (PREVTH) has been effectively developed in recent few years to solve the explicit autonomous ODE(s) accompanied by certain initial conditions. The theory focuses on the cases where right hand side functions are conical in unknowns at the right hand side. If it is not so certain space extension technies are used to get conicality. [1–6]. Theory gives an analytical Kronecker power series solution almost for all practically encountered systems. The squarification reduces the enormous sparsity and gets very high efficiency. This work is designed for the application of PREVTH Squarification on Henon-Heiles systems as a case study.