Results 21 to 30 of about 244,761 (318)
On some applications of infinite-dimensional manifolds to the theory of shape [PDF]
, 1972 Thomas Chapman
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Second order tangent bundles of infinite dimensional manifolds [PDF]
, 2003 The second order tangent bundle $T^{2}M$ of a smooth manifold $M$ consists of the equivalent classes of curves on $M$ that agree up to their acceleration.
Christopher T. J. Dodson, G. Galanis
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Topological classification of infinite dimensional manifolds by homotopy type [PDF]
, 1970 David W. Henderson, R. Schori
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Вестник Самарского университета: Естественнонаучная серия, 2023 In this short communication we prove that the subspace Pn,n−1(X)of all probability measures P(X), whose supports consist of exactly n points is an (n−1)-dimensional topological manifold.
Mikhail V. Dolgopolov +1 more
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
Algorithms, 2022 Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on
Yarema A. Prykarpatsky +3 more
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Geometric basis of action potential of skeletal muscle cells and neurons
Open Life Sciences, 2022 Although we know something about single-cell neuromuscular junctions, it is still unclear how multiple skeletal muscle cells coordinate to complete intricate spatial curve movement.
Li Qing
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Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds
Memoirs of the American Mathematical Society, 2023 In this paper, we use homotopical algebra (or abstract homotopical methods) to study smooth homotopical problems of infinite-dimensional C ∞ C^{\infty } -manifolds in convenient calculus. More precisely,
Hiroshi Kihara
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Infinite–Dimensional Bifurcations in Spatially Distributed Delay Logistic Equation
Mathematics, 2022 This paper investigates the questions about the local dynamics in the neighborhood of the equilibrium state for the spatially distributed delay logistic equation with diffusion. The critical cases in the stability problem are singled out.
Sergey Kashchenko
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Slow manifolds for infinite-dimensional evolution equations [PDF]
Commentarii Mathematici Helvetici, 2022 We extend classical finite-dimensional Fenichel theory in two directions to infinite dimensions. Under comparably weak assumptions we show that the solution of an infinite-dimensional fast-slow system is approximated well by the corresponding slow flow. After that we construct a two-parameter family of slow manifolds
Hummel, Felix, Kuehn, Christian
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