Results 11 to 20 of about 57,997 (153)
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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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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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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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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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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Fluid flow dynamics under location uncertainty [PDF]
, 2013 We present a derivation of a stochastic model of Navier Stokes equations that relies on a decomposition of the velocity fields into a differentiable drift component and a time uncorrelated uncertainty random term.
Mémin, Etienne
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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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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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Robust Stability of a Class of Uncertain Lur'e Systems of Neutral Type
Abstract and Applied Analysis, 2012 This paper deals with the problem of stability for a class of Lur’e systems with interval time-varying delay and sector-bounded nonlinearity. The interval time-varying delay function is not assumed to be differentiable.
W. Weera, P. Niamsup
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