Bifurcation & stochastic analysis of chaotic finance system through entanglement function

Abstract In this novel chaotic financial system, by varying the set-aside bifurcation parameter, existence of Hopf is investigated. The results are used to discuss equilibrium stability and bifurcations in modern system. Added that, there an element chaos mathematical systems with only one positive Lyapunov exponent. Furthermore, conditions which required achieve entanglement. entanglement functions designed form artificially system such that two or more stable linear subsystems evolve chaotically, no matter how far apart they are. Gaussian noise introduced normalize bridge empirical distribution function random variables check convergence. Beyond stochastic model emphasizes relationships between dissipation, phase space flow, stability. maximum dissipation increased as increased.