In this article, we study the long-time behavior of solutions of the non-autonomous stochastic reaction-diffusion equations with dynamical boundary conditions.
Sisi Liu, Mingli Hong, Lu Yang
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A Lyapunov function for pullback attractors of nonautonomous differential equations
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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Is the Free-Energy Principle a Formal Theory of Semantics? From Variational Density Dynamics to Neural and Phenotypic Representations. [PDF]
Ramstead MJD, Friston KJ, Hipólito I.
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Towards a mathematical framework for modelling cell fate dynamics. [PDF]
Vittadello ST +4 more
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Implications of diffusion and time-varying morphogen gradients for the dynamic positioning and precision of bistable gene expression boundaries. [PDF]
Perkins ML.
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Non-linear dynamical approaches for characterizing multi-sector climate impacts under irreducible uncertainty. [PDF]
Mawalagedara R +8 more
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Tipping phenomena in typical dynamical systems subjected to parameter drift. [PDF]
Kaszás B, Feudel U, Tél T.
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Thoughtseeds: A Hierarchical and Agentic Framework for Investigating Thought Dynamics in Meditative States. [PDF]
Kavi PC +3 more
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The stochastic Fitzhugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model. [PDF]
Yamakou ME, Tran TD, Duc LH, Jost J.
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