A Lyapunov function for pullback attractors of nonautonomous differential equations
Electronic Journal of Differential Equations, 2000 The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
Peter E. Kloeden
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A Variational Synthesis of Evolutionary and Developmental Dynamics. [PDF]
Entropy (Basel), 2023 Friston K +6 more
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Tipping points induced by parameter drift in an excitable ocean model. [PDF]
Sci Rep, 2021 Pierini S, Ghil M.
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Bi-space pullback attractors for closed processes
The São Paulo Journal of Mathematical Sciences, 2012 In the description of the long-time behavior of solutions to nonautonomous differential equations the notion of a pullback attractor plays a similar role as the global attractor in autonomous dynamical systems. We present the theorem on the existence of a pullback attractor if the evolution process is a family of closed operators.
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Generic generation of noise-driven chaos in stochastic time delay systems: Bridging the gap with high-end simulations. [PDF]
Sci Adv, 2022 Chekroun MD, Koren I, Liu H, Liu H.
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Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains
, 2012 This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Wang, Bixiang
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Advanced Nonlinear StudiesThis paper investigates the existence, uniqueness, and asymptotic behavior of pullback measure attractors and evolution systems of measures for a complex-valued p-Laplacian Ginzburg–Landau lattice system (GLLS) driven by superlinear Lévy noise.
Zeng Sangui, Long Jianren, Wang Renhai
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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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Cancer Niches and Their Kikuchi Free Energy. [PDF]
Entropy (Basel), 2021 Sajid N, Convertino L, Friston K.
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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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