649 research outputs found

    Liapunov's second method

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    Stability theorem based on Liapunov function, and using invariance property of limit sets of solutions to differential equation

    La Banque de France et la gestion des billets.

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    Au cours des vingt-cinq dernières années, le rôle de la banque centrale et celui des sociétés de transport de fonds se sont renforcés dans l’organisation de la filière fiduciaire en France.monnaie fiduciaire, billets, cycle fiduciaire, banque centrale, transport de fonds.

    Mitigation and Adaptation Strategies – Organic Agriculture

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    This psoter presents information on the following - The concept of organic farming in the context of climate change - Carbon sequestration on organic farms - Consequences of an area-wide conversion to organic agricultur

    Asymptotic Stability for a Class of Metriplectic Systems

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    Using the framework of metriplectic systems on Rn\R^n we will describe a constructive geometric method to add a dissipation term to a Hamilton-Poisson system such that any solution starting in a neighborhood of a nonlinear stable equilibrium converges towards a certain invariant set. The dissipation term depends only on the Hamiltonian function and the Casimir functions

    Advanced Multilevel Node Separator Algorithms

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    A node separator of a graph is a subset S of the nodes such that removing S and its incident edges divides the graph into two disconnected components of about equal size. In this work, we introduce novel algorithms to find small node separators in large graphs. With focus on solution quality, we introduce novel flow-based local search algorithms which are integrated in a multilevel framework. In addition, we transfer techniques successfully used in the graph partitioning field. This includes the usage of edge ratings tailored to our problem to guide the graph coarsening algorithm as well as highly localized local search and iterated multilevel cycles to improve solution quality even further. Experiments indicate that flow-based local search algorithms on its own in a multilevel framework are already highly competitive in terms of separator quality. Adding additional local search algorithms further improves solution quality. Our strongest configuration almost always outperforms competing systems while on average computing 10% and 62% smaller separators than Metis and Scotch, respectively

    Thermodynamics of adiabatic feedback control

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    We study adaptive control of classical ergodic Hamiltonian systems, where the controlling parameter varies slowly in time and is influenced by system's state (feedback). An effective adiabatic description is obtained for slow variables of the system. A general limit on the feedback induced negative entropy production is uncovered. It relates the quickest negentropy production to fluctuations of the control Hamiltonian. The method deals efficiently with the entropy-information trade off.Comment: 6 pages, 1 figur

    Nonlinear effect on quantum control for two-level systems

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    The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system. Furthermore, we demonstrate that the Lyapunov control can be used to overcome this uncontrollability induced by the nonlinear effect.Comment: 4 pages, 5 figure

    Traveling wave solutions for a predator-prey system with Sigmoidal response function

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    We study the existence of traveling wave solutions for a diffusive predator-prey system. The system considered in this paper is governed by a Sigmoidal response function which is more general than those studied previously. Our method is an improvement to the original method introduced in the work of Dunbar \cite{Dunbar1,Dunbar2}. A bounded Wazewski set is used in this work while unbounded Wazewski sets were used in \cite{Dunbar1,Dunbar2}. The existence of traveling wave solutions connecting two equilibria is established by using the original Wazewski's theorem which is much simpler than the extended version in Dunbar's work
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