Search results for "Asymptotic behaviour"

showing 2 items of 2 documents

Some qualitative properties for the total variation flow

2002

We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in finite time. The asymptotic profile of the solutions of the Dirichlet problem is also studied. It is shown that the profiles are nonzero solutions of an eigenvalue-type problem that seems to be unexplored in the previous literature. The propagation of the support is analyzed in the radial case showing a behaviour entirely different to the case of the problem associated with the p-Laplacian operator. Finally, the study of the radially symmetric case allows us to point out othe…

Dirichlet problemAsymptotic behaviourMathematical analysisGeodetic datumElliptic boundary value problemOperator (computer programming)Dirichlet eigenvaluePropagation of the supportFlow (mathematics)Neumann boundary conditionNonlinear parabolic equationsPoint (geometry)Total variation flowEigenvalue type problemAnalysisMathematics
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Models of the population playing the Rock-Paper-Scissors game

2018

We consider discrete dynamical systems coming from the models of evolution of populations playing rock - paper - scissors game . Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved.

education.field_of_studyGame mechanicsAsymptotic behaviour of trajectoriesDynamical systems theoryComputer scienceApplied Mathematics010102 general mathematicsPopulation01 natural sciences010101 applied mathematicstime averageDiscrete Mathematics and CombinatoricsApplied mathematicsTime averagerock-paper-scissors game0101 mathematicseducationVideo game designBifurcationDiscrete and Continuous Dynamical Systems-Series B
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