Approximate predictability of Pseudo-Metric Systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100869
Abstract: Abstract In this paper, we introduce and characterize the notion of approximate predictability for the general class of pseudo-metric systems, which are a powerful modeling framework to deal with complex heterogeneous systems such as hybrid… read more here.
Keywords: predictability; approximate predictability; systems approximate; pseudo metric ... See more keywords
Dynamical systems: Approximate Lagrangians and Noether symmetries
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DOI: 10.1142/s0219887819501603
Abstract: We determine the approximate Noether point symmetries of the variational principle characterizing second-order equations of motion of a particle in a (finite-dimensional) Riemannian manifold. In particular, the Lagrangian comprises of kinetic energy and a potential… read more here.
Keywords: approximate lagrangians; noether symmetries; dynamical systems; formula see ... See more keywords
Quasicomponents, Čech Systems, and approximate Systems
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DOI: 10.1216/rmj.2021.51.657
Abstract: We shall prove that if X is a Hausdorff paracompactum with at least one nontrivial quasicomponent, then none of its Cech systems can be commutative and none can support the structure of an approximate inverse… read more here.
Keywords: ech systems; systems approximate; quasicomponents ech; approximate systems ... See more keywords