Results 11 to 20 of about 9,147,708 (269)
Commentary on “Differentiable dynamical systems” by Stephen Smale [PDF]
Bulletin of the American Mathematical Society, 2018 Immediately following the commentary below, this previously published article is reprinted in its entirety: Stephen Smale, “Differentiable dynamical systems”, Bull. Amer. Math. Soc. 73 (1967), no. 6, 747–817.
Maciej Zworski
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Extended Differential Balancing for Nonlinear Dynamical Systems
IEEE Control Systems Letters, 2022 In this paper, we construct extended balancing theory for nonlinear systems in the contraction framework. At first, we introduce the concept of the extended differential observability Gramian and inverse of the extended differential controllability Gramian for nonlinear dynamical systems and show their correspondence with generalized differential ...
Arijit Sarkar, Jacquelien M. A. Scherpen
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DIFFERENTIABLE DYNAMICAL SYSTEMS [PDF]
Bulletin of the American Mathematical Society, 1967 This is a survey article on the area of global analysis defined by differentiable dynamical systems or equivalently the action (differentiable) of a Lie group G on a manifold M. An action is a homomorphism G→Diff(M) such that the induced map G×M→M is differentiable.
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]
, 2002 We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
D. A. RAND +3 more
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PRX Quantum, 2021 Quantum control, which refers to the active manipulation of physical systems described by the laws of quantum mechanics, constitutes an essential ingredient for the development of quantum technology.
Luuk Coopmans +4 more
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Entropy, 2012 In this paper, we combine the two universalisms of thermodynamics and dynamical systems theory to develop a dynamical system formalism for classical thermodynamics. Specifically, using a compartmental dynamical system energy flow model we develop a state-
Wassim M. Haddad
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Dynamics of the polynomial differential systems
Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2023 In general, there are several free parameters. By using a method introduced in a previous paper, we obtain a sequence of algebraic a proximations to the bifurcationsets,in the parameter ...
Feneniche Fatima, Rezaoui Med Salem
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Bayesian Differential Privacy for Linear Dynamical Systems [PDF]
IEEE Control Systems Letters, 2022 Differential privacy is a privacy measure based on the difficulty of discriminating between similar input data. In differential privacy analysis, similar data usually implies that their distance does not exceed a predetermined threshold. It, consequently, does not take into account the difficulty of distinguishing data sets that are far apart, which ...
Genki Sugiura, Kaito Ito, Kenji Kashima
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Entropy, 2014 Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era.
Wassim M. Haddad +2 more
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