Quantum model for coherent Ising machines: Stochastic differential equations with replicator dynamics
نویسندگان
چکیده
منابع مشابه
Stochastic Replicator Dynamics
This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics, strategies that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations. I also give an example that shows that the stochastic dynamics in this article have equilibrium selection properties that...
متن کاملMetastability in Stochastic Replicator Dynamics
We consider a novel model of stochastic replicator dynamics for potential games that converts to a Langevin equation on a sphere after a change of variables. This is distinct from the models studied earlier. In particular, it is ill-posed due to non-uniqueness of solutions, but is amenable to a natural selection principle that picks a unique solution. The model allows us to make specific statem...
متن کاملComputational Method for Fractional-Order Stochastic Delay Differential Equations
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
متن کاملstrong approximation for itô stochastic differential equations
in this paper, a class of semi-implicit two-stage stochastic runge-kutta methods (srks) of strong global order one, with minimum principal error constants are given. these methods are applied to solve itô stochastic differential equations (sdes) with a wiener process. the efficiency of this method with respect to explicit two-stage itô runge-kutta methods (irks), it method, milstien method, sem...
متن کاملStochastic Differential Equations in Population Dynamics
Population dynamics in the presence of ‘noise’ in the environment can be modeled reasonably well by stochastic differential equations. The one dimensional logistic equation is analyzed by the Runge-Kutta and Euler-Runge-Kutta methods. An error analysis is performed and the order of convergence of these methods is determined experimentally. This model is extended to the two dimensional case and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2017
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.96.053833