0000000000280863

AUTHOR

Louis J. Dubé

showing 2 related works from this author

Universality of level spacing distributions in classical chaos

2007

Abstract We suggest that random matrix theory applied to a matrix of lengths of classical trajectories can be used in classical billiards to distinguish chaotic from non-chaotic behavior. We consider in 2D the integrable circular and rectangular billiard, the chaotic cardioid, Sinai and stadium billiard as well as mixed billiards from the Limacon/Robnik family. From the spectrum of the length matrix we compute the level spacing distribution, the spectral auto-correlation and spectral rigidity. We observe non-generic (Dirac comb) behavior in the integrable case and Wignerian behavior in the chaotic case. For the Robnik billiard close to the circle the distribution approaches a Poissonian dis…

PhysicsMathematics::Dynamical SystemsChaoticFOS: Physical sciencesGeneral Physics and AstronomyLevel-spacing distributionNonlinear Sciences - Chaotic Dynamics01 natural sciencesClassical physicsDirac comb010305 fluids & plasmasUniversality (dynamical systems)Nonlinear Sciences::Chaotic Dynamicssymbols.namesakeCardioidQuantum mechanics0103 physical sciencessymbolsStatistical physicsChaotic Dynamics (nlin.CD)Dynamical billiards010306 general physicsRandom matrixPhysics Letters A
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26th Annual Computational Neuroscience Meeting (CNS*2017): Part 2

2017

International audience; No abstract available

0301 basic medicineCerebellumComputer science[SDV]Life Sciences [q-bio]General Neurosciencelcsh:QP351-495Meeting Abstractslcsh:RC321-57103 medical and health sciencesCellular and Molecular Neurosciencelcsh:Neurophysiology and neuropsychology030104 developmental biologymedicine.anatomical_structuremedicineNeuronlcsh:Neurosciences. Biological psychiatry. NeuropsychiatryNeuroscienceComputingMilieux_MISCELLANEOUScomputational neuroscienceBMC Neuroscience
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