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" Advances in mathematics research. Volume 10 "
Albert R. Baswell, editor.
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BL
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| Record Number
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732621
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b552411
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| Main Entry
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Albert R. Baswell, editor.
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| Title & Author
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Advances in mathematics research. Volume 10\ Albert R. Baswell, editor.
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| Publication Statement
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New York: Nova Science Publishers, ©2010.
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(x, 328 pages)
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| ISBN
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1612092128
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: 9781612092126
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| Contents
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ADVANCES IN MATHEMATICS RESEARCH, VOLUME 10 ; ADVANCES IN MATHEMATICS RESEARCH, VOLUME 10 ; CONTENTS ; PREFACE; LIAPUNOV AND NORMAL-MODE INSTABILITY OF THE ROSSBY-HAURWITZ WAVE; Abstract; 1. Introduction; 2. GeometricStructureofRHWaves; 3. FractionalDerivativesandHilbertSpacesofSmoothFunc-tionsonaSphere; 3.1. HilbertSpaceH0; 3.2. MultiplicativeDerivativesandHilbertSpacesHs; 3.3. Jacobian-ContainingFormulas; 4. ConservationofPseudoenergyandAngularMomentumofRH-WavePerturbations; 5. InvariantSets, QuotientSpace, EquivalenceClassesandQuotientNormofRH-WavePerturbations. 2.1. LocalMuscle-JointMechanics2.2. HamiltonianBiodynamicsandItsReflexServo-Control; 3. Cerebellum:TheAdaptivePath-IntegralComparator; 3.1. CerebellumasaNeuralController; 3.2. HamiltonianActionandNeuralPathIntegral; 3.3. EntropyandMotorControl; 4. Appendix; 4.1. Houk'sAutogeneticMotorServo; 4.2. CerebellumandMuscularSynergy; 4.3. Feynman'sPartitionFunction; References; TRAVELING WAVES ARISING FROM SYNAPTICALLY COUPLED NEURONAL NETWORKS; Abstract; 1. IntroductiontoIntegralDifferentialEquations; 1.1. BiologicalBackgrounds; 1.2. DerivationofModelEquationsandNonlocalTerms. 1.3. MotivationstoFindExactTravelingWaveSolutions1.4. Assumptions; 1.5. DefinitionandPropertiesofTravelingWaveSolutions; 1.6. ExistenceofTravelingWaveSolutions; 1.7. StabilityofTravelingWaveSolutions; 1.8. TheEvansFunctions; 1.9. RelationshipbetweenIntegralDifferentialEquationsandPartialDiffer-entialEquations; 2. ANonlinearSingularlyPerturbedSystemofIntegralDiffer-entialEquations; 2.1. TheMathematicalAnalysisoftheTravelingWaveFront; 2.2. TheExistenceandUniquenessoftheFastTravelingPulseSolution; 2.3. TheExponentialStabilityoftheFastTravelingPulseSolution; 2.4. TheEigenvalueProblemandtheEvansFunction. 2.5. TheCompatibleSolutionsoftheEigenvalueProblem2.6. ThePropertiesoftheEvansFunction; 2.7. TheSimplicityoftheNeutralEigenvalue =0; 2.8. TheTravelingWaveFrontversustheTravelingWaveBack; 2.9. AConcreteExample; 3. AnotherNonlinearSingularlyPerturbedSystemofIntegralDifferentialEquations; 3.1. TheTravelingWaveFronts; 3.2. TheTravelingWaveBacks; 3.3. TheTravelingPulseSolutions; 3.4. TheOtherTravelingWaveSolutions; 3.5. TheEigenvalueProblemandtheEvansFunction; 3.6. TheCompatibleSolutionsoftheEigenvalueProblem; 3.7. ThePropertiesoftheEvansFunctions; 3.8. TheSimplicityoftheNeutralEigenvalue =0.
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| Subject
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Mathematics -- Research.
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MATHEMATICS -- Research.
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| LC Classification
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QA11.2A434 2010
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| Added Entry
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Albert R Baswell
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