NSTL国家科技图书文献中心

1. Physics-Informed Kolmogorov-Arnold Networks for Power System Dynamics NSTL国家科技图书文献中心

Hang Shuai | Fangxing Li - 《IEEE Open Access Journal of Power and Energy》 - 2025,12 - 46～58 - 共13页

摘要： framework for Kolmogorov-Arnold Networks (KANs) in power | system applications. Inspired by the recently proposed | -informed Kolmogorov-Arnold Networks (PIKANs), a novel KAN | , achieving superior accuracy in predicting power system | This paper presents, for the first time, a

关键词： Power system dynamics | Mathematical models | Power system stability | Accuracy | Splines (mathematics) | Power systems | Neural networks | Training | Heuristic algorithms | Damping

2. ASYMPTOTIC PROPERTIES OF KOLMOGOROV SYSTEMS DRIVEN BY WIDEBAND NOISES NSTL国家科技图书文献中心

Zhexin Wen - 《Numerical Algebra, Control and Optimization》 - 2025,15(1) - 230～242 - 共13页

摘要： properties of singularly perturbed stochastic Kolmogorov | stability properties of a certain differential system | stability properties of limit system* x(·) could be carried* | over to the original system* x~ε(·). Finally, an* | This paper investigated the asymptotic

关键词： Kolmogorov system | Wideband noise | Lyapunov function | Stability | Asymptotic behavior

3. A novel method for response probability density of nonlinear stochastic dynamic systems NSTL国家科技图书文献中心

Wang, Xi | Jiang, Jun ... - 《Nonlinear dynamics》 - 2025,113(5) - 3981～3997 - 共17页

摘要： solution of the Fokker-Planck-Kolmogorov* (FPK) equation* | governing the response probability density of the system | This paper presents a novel method for | analyzing high-dimensional nonlinear stochastic dynamic | systems. In particular, we attempt to obtain the

关键词： Radial basis function neural networks | Nonlinear stochastic system | Stationary probability density function | Feynman-Kac formula | Fokker-Planck-Kolmogorov equation

4. Stochastic response of subsystems of interest in MDOF quasi-integrable Hamiltonian systems based on neural networks NSTL国家科技图书文献中心

Jiaojiao Sun | Zhiqiang Luo ... - 《Applied mathematical modelling》 - 2025,137(Pt.A) - 115682～ - 共22页

摘要： Fokker-Planck-Kolmogorov* equations; (2) second* | -Kolmogorov* equation to an approximated ordinary* | approximated Fokker-Planck-Kolmogorov* equation from a* | between system* states and the subsystem energy. A 10* | -degree-of-freedom quasi-integrable Hamiltonian system

关键词： Random vibration | Dimensionality reduction | Neural networks | Nonlinear multi-degree-of-freedom systems | Stochastic averaging method

5. Golden eagle optimization algorithm embedded in gated Kolmogorov-Arnold network for transient stability preventive control of power systems NSTL国家科技图书文献中心

Linfei Yin | Wei Ge ... - 《Energy》 - 2025,318(Mar.1) - 134931.1～134931.19 - 共19页

摘要： gated cyclic unit with the Kolmogorov-Arnold network | (TSP) model based on the gated Kolmogorov-Arnold | 3946 system* and IEEE 145453 system, respectively. The* | experimental results show that in the IEEE 3946 system, the | suboptimal algorithm; for the IEEE 145453 system, the

关键词： Deep learning | Kolmogorov-Arnold network | Transient stabilization preventive control | Neural networks

6. Optimal convergence order for multi-scale stochastic Burgers equation NSTL国家科技图书文献中心

Gao, Peng | Sun, Xiaobin - 《Stochastic Partial Differential Equations》 - 2025,13(1) - 421～464 - 共44页

摘要： approximation, Kolmogorov* equation and Poisson equation, we* | highly nonlinear term in system* brings us huge* | In this paper, we study the strong and weak | convergence rates for multi-scale one-dimensional stochastic | Burgers equation. Based on the techniques of Galerkin

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

7. QUASI-PERIODIC SOLUTIONS FOR THE DERIVATIVE NONLINEAR SCHROEDINGER EQUATIONS WITH UNBOUNDED LEGENDRE POTENTIALS NSTL国家科技图书文献中心

XUEMEI LI | GUANGHUA SHI - 《Discrete and continuous dynamical systems》 - 2025,45(2) - 607～664 - 共58页

摘要： Hamiltonian system* has some degeneracy, and the frequencies* | technique and a new infinite-dimensional Kolmogorov-Arnold | In this paper, the derivative nonlinear | Schroedinger equations with Legendre potential i | |~2 _ = 0 subject to certain boundary

关键词： Completely resonant | quasi-periodic solutions | KAM for PDE | singular differential operator | small divisors

8. Parametric model order reduction for a wildland fire model via the shifted POD-based deep learning method NSTL国家科技图书文献中心

Shubhaditya,Burela | Philipp,Krah ... - 《Advances in computational mathematics》 - 2025,51(1) - 共43页

摘要：-dominated phenomena due to a slowly decaying Kolmogorov* n* | also enabling rapid prediction of system* states* | Abstract Parametric model order reduction | techniques often struggle to accurately represent transport | -width. To address this challenge, we propose a non

关键词： Model order reduction | Shifted proper orthogonal decomposition | Data-driven models | Deep learning | Artificial neural networks | Wildland fires | 68T07 | 65F55 | 35Q35 | 76-10

9. Mathematical modeling and transient analysis of boiler system in thermal power plant NSTL国家科技图书文献中心

Jagriti Singh,Chunda... | Ashish,Kumar ... - 《Life Cycle Reliability and Safety Engineering》 - 2025,14(1) - 69～78 - 共10页

摘要： availability behavior of a boiler system* under the concept of* | system having six subsystems configured in series | Chapman-Kolmogorov* differential-difference equations* | . The transient availability of the boiler system* is* | . Numerical results of system* operational availability are*

关键词： Markov birth–death process | Thermal power plant | Cold standby redundancy | Boiler | Availability

10. Mechanical analysis and function matrix projective synchronization of El-Nino chaotic system NSTL国家科技图书文献中心

Shukla, Vijay K. | Joshi, Mahesh C.... - 《Physica Scripta》 - 2025,100(1) - 共12页

摘要： Kolmogorov type system, characterized by four types of | the El-Nino system* by transforming it into a* | interact with system* parameters. The study also* | in the El Ni & ntilde;o chaotic system | This study explores the mechanical aspects of

摘要： framework for Kolmogorov-Arnold Networks (KANs) in power | system applications. Inspired by the recently proposed | -informed Kolmogorov-Arnold Networks (PIKANs), a novel KAN | , achieving superior accuracy in predicting power system | This paper presents, for the first time, a

关键词： Power system dynamics | Mathematical models | Power system stability | Accuracy | Splines (mathematics) | Power systems | Neural networks | Training | Heuristic algorithms | Damping

摘要： properties of singularly perturbed stochastic Kolmogorov | stability properties of a certain differential system | stability properties of limit system* x(·) could be carried* | over to the original system* x~ε(·). Finally, an* | This paper investigated the asymptotic

关键词： Kolmogorov system | Wideband noise | Lyapunov function | Stability | Asymptotic behavior

摘要： solution of the Fokker-Planck-Kolmogorov* (FPK) equation* | governing the response probability density of the system | This paper presents a novel method for | analyzing high-dimensional nonlinear stochastic dynamic | systems. In particular, we attempt to obtain the

关键词： Radial basis function neural networks | Nonlinear stochastic system | Stationary probability density function | Feynman-Kac formula | Fokker-Planck-Kolmogorov equation

摘要： Fokker-Planck-Kolmogorov* equations; (2) second* | -Kolmogorov* equation to an approximated ordinary* | approximated Fokker-Planck-Kolmogorov* equation from a* | between system* states and the subsystem energy. A 10* | -degree-of-freedom quasi-integrable Hamiltonian system

关键词： Random vibration | Dimensionality reduction | Neural networks | Nonlinear multi-degree-of-freedom systems | Stochastic averaging method

摘要： gated cyclic unit with the Kolmogorov-Arnold network | (TSP) model based on the gated Kolmogorov-Arnold | 3946 system* and IEEE 145453 system, respectively. The* | experimental results show that in the IEEE 3946 system, the | suboptimal algorithm; for the IEEE 145453 system, the

关键词： Deep learning | Kolmogorov-Arnold network | Transient stabilization preventive control | Neural networks

摘要： approximation, Kolmogorov* equation and Poisson equation, we* | highly nonlinear term in system* brings us huge* | In this paper, we study the strong and weak | convergence rates for multi-scale one-dimensional stochastic | Burgers equation. Based on the techniques of Galerkin

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

摘要： Hamiltonian system* has some degeneracy, and the frequencies* | technique and a new infinite-dimensional Kolmogorov-Arnold | In this paper, the derivative nonlinear | Schroedinger equations with Legendre potential i | |~2 _ = 0 subject to certain boundary

关键词： Completely resonant | quasi-periodic solutions | KAM for PDE | singular differential operator | small divisors

摘要：-dominated phenomena due to a slowly decaying Kolmogorov* n* | also enabling rapid prediction of system* states* | Abstract Parametric model order reduction | techniques often struggle to accurately represent transport | -width. To address this challenge, we propose a non

关键词： Model order reduction | Shifted proper orthogonal decomposition | Data-driven models | Deep learning | Artificial neural networks | Wildland fires | 68T07 | 65F55 | 35Q35 | 76-10

关键词： Markov birth–death process | Thermal power plant | Cold standby redundancy | Boiler | Availability

摘要： Kolmogorov type system, characterized by four types of | the El-Nino system* by transforming it into a* | interact with system* parameters. The study also* | in the El Ni & ntilde;o chaotic system | This study explores the mechanical aspects of

关键词： El-Nino system | energy cycle | dissipative systems | Casimir energy | function matrix projective synchronization

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： framework for Kolmogorov-Arnold Networks (KANs) in power | system applications. Inspired by the recently proposed | -informed Kolmogorov-Arnold Networks (PIKANs), a novel KAN | , achieving superior accuracy in predicting power system | This paper presents, for the first time, a

关键词： Power system dynamics | Mathematical models | Power system stability | Accuracy | Splines (mathematics) | Power systems | Neural networks | Training | Heuristic algorithms | Damping

摘要： properties of singularly perturbed stochastic Kolmogorov | stability properties of a certain differential system | stability properties of limit system x(·) could be carried | over to the original system x~ε(·). Finally, an | This paper investigated the asymptotic

关键词： Kolmogorov system | Wideband noise | Lyapunov function | Stability | Asymptotic behavior

摘要： solution of the Fokker-Planck-Kolmogorov (FPK) equation | governing the response probability density of the system | This paper presents a novel method for | analyzing high-dimensional nonlinear stochastic dynamic | systems. In particular, we attempt to obtain the

关键词： Radial basis function neural networks | Nonlinear stochastic system | Stationary probability density function | Feynman-Kac formula | Fokker-Planck-Kolmogorov equation

摘要： Fokker-Planck-Kolmogorov equations; (2) second | -Kolmogorov equation to an approximated ordinary | approximated Fokker-Planck-Kolmogorov equation from a | between system states and the subsystem energy. A 10 | -degree-of-freedom quasi-integrable Hamiltonian system

关键词： Random vibration | Dimensionality reduction | Neural networks | Nonlinear multi-degree-of-freedom systems | Stochastic averaging method

摘要： gated cyclic unit with the Kolmogorov-Arnold network | (TSP) model based on the gated Kolmogorov-Arnold | 3946 system and IEEE 145453 system, respectively. The | experimental results show that in the IEEE 3946 system, the | suboptimal algorithm; for the IEEE 145453 system, the

关键词： Deep learning | Kolmogorov-Arnold network | Transient stabilization preventive control | Neural networks

摘要： approximation, Kolmogorov equation and Poisson equation, we | highly nonlinear term in system brings us huge | In this paper, we study the strong and weak | convergence rates for multi-scale one-dimensional stochastic | Burgers equation. Based on the techniques of Galerkin

关键词： Optimal convergence order | Multi-scale | Stochastic Burgers equation | Averaging principle

摘要： Hamiltonian system has some degeneracy, and the frequencies | technique and a new infinite-dimensional Kolmogorov-Arnold | In this paper, the derivative nonlinear | Schroedinger equations with Legendre potential i | |~2 _ = 0 subject to certain boundary

关键词： Completely resonant | quasi-periodic solutions | KAM for PDE | singular differential operator | small divisors

摘要：-dominated phenomena due to a slowly decaying Kolmogorov n | also enabling rapid prediction of system states | Abstract Parametric model order reduction | techniques often struggle to accurately represent transport | -width. To address this challenge, we propose a non

关键词： Model order reduction | Shifted proper orthogonal decomposition | Data-driven models | Deep learning | Artificial neural networks | Wildland fires | 68T07 | 65F55 | 35Q35 | 76-10

摘要： availability behavior of a boiler system under the concept of | system having six subsystems configured in series | Chapman-Kolmogorov differential-difference equations | . The transient availability of the boiler system is | . Numerical results of system operational availability are

关键词： Markov birth–death process | Thermal power plant | Cold standby redundancy | Boiler | Availability

摘要： Kolmogorov type system, characterized by four types of | the El-Nino system by transforming it into a | interact with system parameters. The study also | in the El Ni & ntilde;o chaotic system | This study explores the mechanical aspects of

关键词： El-Nino system | energy cycle | dissipative systems | Casimir energy | function matrix projective synchronization

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： properties of singularly perturbed stochastic Kolmogorov | stability properties of a certain differential system | stability properties of limit system* x(·) could be carried* | over to the original system* x~ε(·). Finally, an* | This paper investigated the asymptotic

摘要： solution of the Fokker-Planck-Kolmogorov* (FPK) equation* | governing the response probability density of the system | This paper presents a novel method for | analyzing high-dimensional nonlinear stochastic dynamic | systems. In particular, we attempt to obtain the

摘要： Fokker-Planck-Kolmogorov* equations; (2) second* | -Kolmogorov* equation to an approximated ordinary* | approximated Fokker-Planck-Kolmogorov* equation from a* | between system* states and the subsystem energy. A 10* | -degree-of-freedom quasi-integrable Hamiltonian system

摘要： gated cyclic unit with the Kolmogorov-Arnold network | (TSP) model based on the gated Kolmogorov-Arnold | 3946 system* and IEEE 145453 system, respectively. The* | experimental results show that in the IEEE 3946 system, the | suboptimal algorithm; for the IEEE 145453 system, the

摘要： approximation, Kolmogorov* equation and Poisson equation, we* | highly nonlinear term in system* brings us huge* | In this paper, we study the strong and weak | convergence rates for multi-scale one-dimensional stochastic | Burgers equation. Based on the techniques of Galerkin

摘要： Hamiltonian system* has some degeneracy, and the frequencies* | technique and a new infinite-dimensional Kolmogorov-Arnold | In this paper, the derivative nonlinear | Schroedinger equations with Legendre potential i | |~2 _ = 0 subject to certain boundary

摘要：-dominated phenomena due to a slowly decaying Kolmogorov* n* | also enabling rapid prediction of system* states* | Abstract Parametric model order reduction | techniques often struggle to accurately represent transport | -width. To address this challenge, we propose a non

摘要： Kolmogorov type system, characterized by four types of | the El-Nino system* by transforming it into a* | interact with system* parameters. The study also* | in the El Ni & ntilde;o chaotic system | This study explores the mechanical aspects of