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Kinetic Theory with Casimir Invariants-Toward Understanding of Self-Organization by Topological Constraints. [PDF]
Yoshida Z.
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Rootlets Hierarchical Principal Component Analysis for Revealing Nested Dependencies in Hierarchical Data. [PDF]
Wylie KP, Tregellas JR.
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Towards Nonlinearity: The <i>p</i>-Regularity Theory. [PDF]
Bednarczuk E +4 more
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Quantum circuit simulation with a local time-dependent variational principle
Eisert J +8 more
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The center manifold theorem for a discrete system
Applicable Analysis, 1992In this paper we give a new proof of the center manifold teorem for a system of difference equations. Our result is an analogue of the known classical results for systems of differential equations. For the existence of the center manifold we use the method of contracting maping rinciple.
Nicholas Karydas, John Schinas
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Generalized Ginzburg-Landau equations, slaving principle and center manifold theorem
Zeitschrift f�r Physik B Condensed Matter, 1981The Generalized Ginzburg-Landau equations, introduced by one of us (H.H.), are considered in a simplified version to clarify their relation to the center manifold theorem.
A. Wunderlin, H. Haken
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Holographic dimensional reduction: Center manifold theorem and E-infinity
Chaos, Solitons & Fractals, 2006Abstract Klein modular curve is shown to be the holographic boundary of E-infinity Cantorian spacetime. The conformal relation between the full dimensional and the reduced space is explored. We show that both spaces analyzed in the appropriate manner give the same results for certain aspects of high energy particle physics and quantum gravity ...
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Asymptotic expansions obtained by a center manifold theorem
Annali di Matematica Pura ed Applicata, 1988Consider the singularly perturbed system of ordinary differential equations \(\epsilon\) \({\dot \xi}=F(\xi,\eta,\epsilon)\), \({\dot \eta}=G(\xi,\eta,\epsilon)\) with \(\xi,F\in R^{\nu}\), \(\eta,G\in R^{\mu}\), \((\xi,\eta)\in \Omega \subset R^{\nu +\mu}\), \(\epsilon \in [0,\epsilon_ 0)\), \(F,G\in C^{r+2}(\Omega \times [0,\epsilon_ 0))\), \(r\geq 0\
Battelli, Flaviano, Lazzari, Claudio
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