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Artículo
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
(American Institute of Mathematical Sciences (AIMS), 2020-08)
In this paper, we first prove that the property of being a gradientlike general dynamical system and the existence of a Morse decomposition are equivalent. Next, the stability of gradient-like general dynamical systems ...
Artículo
Dynamic evolution of a hydraulic-mechanical-electric system with randomly fluctuating speed based on Chebyshev polynomial approximation method
(Springer, 2018)
The research proposed in this paper focuses on the dynamic evolution of a hydraulic-mechanical-electric system under the effect of randomly fluctuating speed. The rapid growth of installed wind power capacity may potentially ...
Artículo
Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays
(Elsevier, 2020-12)
This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback ...
Artículo
Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications
(Elsevier, 2020-06)
In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the existence of trajectory statistical solutions for autonomous evolution equations. Then we establish that ...