Pullback attractor of the 2D non-autonomous magneto-micropolar fluid equations
Open MathematicsThe purpose of this article is to establish the existence of the pullback attractors for the non-autonomous magneto-micropolar fluid equations in 2D bounded domains.
Zhou Gang, Gao Rui, Tian Congyang
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Stochastic Chaos and Markov Blankets. [PDF]
Entropy (Basel), 2021 Friston K +4 more
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Pullback attractors for non-autonomous parabolic equations involving Grushin operators
Electronic Journal of Differential Equations, 2010 Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain.
Cung The Anh
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On the Dimension of Pullback Attractors in Recurrent Neural Networks
Recurrent neural networks trained via the reservoir computing paradigm have demonstrated remarkable success in learning and reconstructing attractors from chaotic systems, often replicating quantities such as Lyapunov exponents and fractal dimensions.
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
Discrete and Continuous Dynamical Systems - B, 2019 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
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Lower semicontinuity of pullback attractors for a singularly nonautonomous plate equation
Electronic Journal of Differential Equations, 2012 We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural damping $$ u_{tt} + a(t,x)u_{t} + (- Delta) u_{t} + (-Delta)^{2} u + lambda u = f(u), $$ in the energy space $H^2_0(
Ricardo Parreira da Silva
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How can contemporary climate research help understand epidemic dynamics? Ensemble approach and snapshot attractors. [PDF]
J R Soc Interface, 2020 Kovács T.
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Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 Li JH, Ye FX, Qian H, Huang S.
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Pullback attractors for a singularly nonautonomous plate equation
Electronic Journal of Differential Equations, 2011 We consider the family of singularly nonautonomous plate equations with structural damping $$ u_{tt} + a(t,x)u_t - Delta u_t + (-Delta)^2 u + lambda u = f(u), $$ in a bounded domain $Omega subset mathbb{R}^n$, with Navier boundary conditions. When
Vera Lucia Carbone +3 more
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ASYMPTOTIC BEHAVIOR OF THE STOCHASTIC KELLER-SEGEL EQUATIONS. [PDF]
Discrete Continuous Dyn Syst Ser B, 2019 Shang Y, Tian JP, Wang B.
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