Search results for " 34C25"

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Some notes on a superlinear second order Hamiltonian system

2016

Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered.

General Mathematicsmedia_common.quotation_subject010102 general mathematicsMathematical analysisPrimary 34C25; Secondary 34B15; Mathematics (all)Algebraic geometryDynamical systemInfinity01 natural sciencesHamiltonian systemTerm (time)010101 applied mathematicsNonlinear systemNumber theorySecondary 34B15Order (group theory)Primary 34C250101 mathematicsMathematicsmedia_common
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Statistics of transitions for Markov chains with periodic forcing

2013

The influence of a time-periodic forcing on stochastic processes can essentially be emphasized in the large time behaviour of their paths. The statistics of transition in a simple Markov chain model permits to quantify this influence. In particular the first Floquet multiplier of the associated generating function can be explicitly computed and related to the equilibrium probability measure of an associated process in higher dimension. An application to the stochastic resonance is presented.

[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Markov chain mixing timeMarkov kernelMarkov chainProbability (math.PR)Markov chainlarge time asymptoticStochastic matrixcentral limit theoremMarkov process[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]symbols.namesakeMarkov renewal processModeling and SimulationFloquet multipliersStatisticsFOS: MathematicssymbolsMarkov propertyExamples of Markov chainsstochastic resonance60J27 60F05 34C25[ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]Mathematics - ProbabilityMathematics
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