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Transfer learning via distributed brain recordings enables reliable speech decoding. [PDF]
Nat CommunSingh A +5 more
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Surface optimization governs the local design of physical networks. [PDF]
NatureMeng X +4 more
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Deprotonation-controlled copper-free Pd-catalyzed Sonogashira coupling <i>versus</i> the Kumada-Tamao-Corriu reaction: a DFT investigation toward anticancer carborane alkynes. [PDF]
RSC AdvSoltani E, Bayat M.
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Controlling the Redox Speciation of N,C,N-Bi Complexes Using the Anion Coordination Index. [PDF]
OrganometallicsBéland VA +3 more
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Construction of Center Manifolds
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1990AbstractGiven a pair of coupled differential equations ẋ = g(x, y), ẏ = h(x, y), x, y being vectors. The paper is concerned with existence and properties of invariant manifolds given in the form y = S(x), × ∈ M. The questions raised and partially answered differ from the standard content of center manifold theory in two respects.
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42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
In this paper, we use a feedback to change the orientation and the shape of the center manifold of a system with uncontrollable linearization. This change directly affect the reduced dynamics on the center manifold, and hence change the stability properties of the original system.
B. Hamzi, null Wei Kang, A.J. Krener
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In this paper, we use a feedback to change the orientation and the shape of the center manifold of a system with uncontrollable linearization. This change directly affect the reduced dynamics on the center manifold, and hence change the stability properties of the original system.
B. Hamzi, null Wei Kang, A.J. Krener
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1995
In this chapter we analyse the behaviour of the nonlinear semiflow near a nonhyperbolic equilibrium; that is, we consider the situation where A does have spectrum on the imaginary axis. We use the decomposition of X as $$X\, = {X_ - } \oplus {X_0} \oplus {X_{ + \cdot }}$$
Odo Diekmann +3 more
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In this chapter we analyse the behaviour of the nonlinear semiflow near a nonhyperbolic equilibrium; that is, we consider the situation where A does have spectrum on the imaginary axis. We use the decomposition of X as $$X\, = {X_ - } \oplus {X_0} \oplus {X_{ + \cdot }}$$
Odo Diekmann +3 more
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2013
A center manifold at a given nonhyperbolic equilibrium is an invariant manifold of a given differential equation that is tangent at the equilibrium point to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior transverse to the center manifold is relatively simple, the potentially complicated asymptotic ...
Shangjiang Guo, Jianhong Wu
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A center manifold at a given nonhyperbolic equilibrium is an invariant manifold of a given differential equation that is tangent at the equilibrium point to the (generalized) eigenspace of the neutrally stable eigenvalues. Since the local dynamic behavior transverse to the center manifold is relatively simple, the potentially complicated asymptotic ...
Shangjiang Guo, Jianhong Wu
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Nonlinear Analysis: Theory, Methods & Applications, 1997
Let \(X\) be a Banach space. Consider the semiflow \(\Phi:X\to X\) with \(\Phi(x) =U(x)+ g(x)\), \(U\in L(X,X)\), \(g\in C^k(X,X)\), \(k\geq 1\), \(g(0)=0\).
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Let \(X\) be a Banach space. Consider the semiflow \(\Phi:X\to X\) with \(\Phi(x) =U(x)+ g(x)\), \(U\in L(X,X)\), \(g\in C^k(X,X)\), \(k\geq 1\), \(g(0)=0\).
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