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Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems

机译：构造函数空间中通勤微分表示的微分代数方法及其在非线性可积动力系统中的应用

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Anatolij K. Prykarpatski; Kamal N. Soltanov; Emin Özçağ;
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1. Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems [J] . Anatolij K. Prykarpatski, Kamal N. Soltanov, Emin Oezcag Communications in Nonlinear Science and Numerical Simulation . 2014,第5期

机译：微分代数方法构造功能空间中通勤微分的表示及其在非线性可积动力系统中的应用
2. ON THE COMPLETE INTEGRABILITY OF NONLINEAR DYNAMICAL SYSTEMS ON FUNCTIONAL MANIFOLDS WITHIN THE GRADIENT-HOLONOMIC APPROACH [J] . YAREMA A. PRYKARPATSKY, NIKOLAI N. BOGOLUBOV, ANATOLIY K. PRYKARPATSKY, Reports on Mathematical Physics . 2011,第3期

机译：功能流形上非线性动力学系统的完整完整积分-渐近完整方法
3. Discrete approximations on functional classes for the integrable nonlinear Schrodinger dynamical system: A symplectic finite-dimensional reduction approach [J] . Cieslinski Jan L., Prykarpatski Anatolij K. Journal of Mathematical Analysis and Applications . 2015,第1期

机译：积分非线性Schrodinger动力系统功能类的离散近似：辛有限维约简方法
4. Constructing the Global Convergent Set for Linear Discrete-Time Systems in Parameter Variation Space with Applications to Nonlinear Dynamic Systems [C] . Mansour Eslami World Automation Congress . 2018

机译：构造参数离散空间中线性离散系统的全局收敛集及其在非线性动力系统中的应用
5. Stability and convergence results for difference approximations of overdetermined differential-algebraic equations with application to implicit integration of constrained mechanical system dynamics. [D] . Lee, Ming-Gong. 1992

机译：超定微分代数方程差分逼近的稳定性和收敛性结果在约束机械系统动力学的隐式积分中的应用。
6. Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control [O] . Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor, -1

机译：控制非线性动力学系统的Koopman不变子空间和有限线性表示
7. Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems [O] . Prykarpatski, Anatolij K., Özçağ, Emin, Soltanov, Kamal 2013

机译：微分代数方法构造的表示功能空间的通勤差异及其在功能空间中的应用非线性可积动力系统
8. Qualitative Analysis of Nonlinear Parameterized Systems. Part 1: NonlinearSystems Representation and Dynamical Systems Theory [R] . Haynes, B. R., Billings, S. A. 1990

机译：非线性参数化系统的定性分析第1部分：非线性系统表示和动力系统理论

Differential-algebraic approach to constructing representations of commuting differentiations in functional spaces and its application to nonlinear integrable dynamical systems

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