Zobrazeno 1 - 10
of 353
pro vyhledávání: '"Inertial manifold"'
Publikováno v:
Frontiers in Neurorobotics, Vol 17 (2023)
IntroductionThe control of infinite-dimensional rigid-flexible robotic arms presents significant challenges, with direct truncation of first-order modal models resulting in poor control quality and second-order models leading to complex hardware impl
Externí odkaz:
https://doaj.org/article/1ce8b42c21f642cab8ae1ac9ac3a5835
Akademický článek
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Autor:
Aleksandr V. Romanov
Publikováno v:
AIMS Mathematics, Vol 6, Iss 12, Pp 13407-13422 (2021)
We consider the class of dissipative reaction-diffusion-convection systems on the circle and obtain conditions under which the final (at large times) phase dynamics of a system can be described by an ODE with Lipschitz vector field in RN. Precisely i
Externí odkaz:
https://doaj.org/article/960f4183afa24cc8aa93b3ba6fa5de64
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 96, Pp 1-11 (2019)
We show that the presence of a two-dimensional inertial manifold for an ordinary differential equation in ${\mathbb R}^{n}$ permits reducing the problem of determining asymptotically orbitally stable limit cycles to the Poincaré–Bendixson theory.
Externí odkaz:
https://doaj.org/article/6d3602e31e4c4739b3092a8526900444
Autor:
Kobayasi, Kazuo
Publikováno v:
Proceedings of the American Mathematical Society, 1999 Apr 01. 127(4), 1143-1150.
Externí odkaz:
https://www.jstor.org/stable/119238
Publikováno v:
SIAM Journal on Applied Mathematics, 1998 Aug 01. 58(4), 1072-1093.
Externí odkaz:
https://www.jstor.org/stable/118320
Autor:
Marc R. Roussel
Publikováno v:
Algorithms, Vol 13, Iss 9, p 209 (2020)
Delay-differential equations belong to the class of infinite-dimensional dynamical systems. However, it is often observed that the solutions are rapidly attracted to smooth manifolds embedded in the finite-dimensional state space, called inertial man
Externí odkaz:
https://doaj.org/article/efec92c1a6974e96af3e3a989e61aae9
The problem of constructing data-based, predictive, reduced models for the Kuramoto–Sivashinsky equation is considered, under circumstances where one has observation data only for a small subset of the dynamical variables. Accurate prediction is ac
Externí odkaz:
http://hdl.handle.net/10150/622792
http://arizona.openrepository.com/arizona/handle/10150/622792
http://arizona.openrepository.com/arizona/handle/10150/622792
Akademický článek
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Autor:
Hirotada Honda
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 20:1320-1347
We propose a framework of a reservoir with an inertial manifold, which is a finite-dimensional object that attracts all trajectories. In addition, based on the theoretical results concerning infini...