649 research outputs found
Liapunov's second method
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.
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
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
Using the framework of metriplectic systems on 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
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
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
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
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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