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Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems

机译：差分方程随机自主一阶线性系统的完整解。应用于构建平面系统的随机相位肖像

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J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló;
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1. Probabilistic solution of random autonomous first-order linear systems of ordinary differential equations [J] . J.-C. CORTES, A. NAVARRO-QUILES, J.-V. ROMERO, Romanian reports in physics . 2016,第4期

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2. Exact Solutions of Hyperbolic Systems of Kinetic Equations. Application to Verhulst Model with Random Perturbation [J] . Elena I. Ganzha, Valery M. Loginov, Sergey P. Tsarev Mathematics in Computer Science . 2008,第3期

机译：双曲动力学方程组的精确解。具有随机摄动的Verhulst模型的应用
3. Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. II. Application to systems comprising first-order chemical reactions [J] . Rudolph M Journal of Computational Chemistry: Organic, Inorganic, Physical, Biological . 2005,第6期

机译：用二阶和四阶精确有限差分方程获得通量误差的指数收敛。二。应用于包含一阶化学反应的系统
4. The Number of Random Restarts Required to Identify all Solutions to a Nonlinear System: Applications to Global Stochastic Optimization [C] . Raghu Pasupathy Winter Simulation Conference . 2019

机译：识别非线性系统的所有解决方案所需的随机重新启动次数：在全局随机优化中的应用
5. Method of averaging in constructing asymptotics of solutions of systems of linear difference equations. [D] . Bourd, Alexei. 2003

机译：构造线性差分方程组解的渐近性的平均方法。
6. Rational general solutions of planar rational systems of autonomous ODEs [O] . L.X. Châu Ngô, Franz Winkler -1

机译：自治ODE平面有理系统的有理通用解。
7. Global phase portraits of planar autonomous half-linear systems (Functional Equations and Complex Systems) [O] . 鬼塚政一, 山口亜矢, 杉江実郎 2005

机译：平面自治半线性系统（功能方程和复杂系统）的整体相图
8. Applications of Random Differential Equations to Engineering Science. Wave Propagation in Turbulent Media and Random Linear Hyperbolic Systems [R] . Chow, P. L. 1981

机译：随机微分方程在工程科学中的应用。湍流介质和随机线性双曲方程组中的波传播

Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems

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