Advances in mathematics research.: Volume 10 /
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New York :
Nova Science Publishers,
©2010.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource (x, 328 pages) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781612092126 1612092128 |
Internformat
MARC
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| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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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| 700 | 1 | |a Baswell, Albert R. | |
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| contents | 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. |
| ctrlnum | (OCoLC)704388907 |
| dewey-full | 510.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.72 |
| dewey-search | 510.72 |
| dewey-sort | 3510.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Advances in mathematics research. Volume 10 / Albert R. Baswell, editor. New York : Nova Science Publishers, ©2010. 1 online resource (x, 328 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. 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. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast Baswell, Albert R. has work: Advances in mathematics research Volume 10 (Work) https://id.oclc.org/worldcat/entity/E39PCYgdFVF4fQgYdgFRmwYymH https://id.oclc.org/worldcat/ontology/hasWork Print version: Advances in Mathematics Research. Nova Science Pub Inc 2010 9781608762651 (OCoLC)462904247 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=343891 Volltext |
| spellingShingle | Advances in mathematics research. 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. Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082156 |
| title | Advances in mathematics research. |
| title_auth | Advances in mathematics research. |
| title_exact_search | Advances in mathematics research. |
| title_full | Advances in mathematics research. Volume 10 / Albert R. Baswell, editor. |
| title_fullStr | Advances in mathematics research. Volume 10 / Albert R. Baswell, editor. |
| title_full_unstemmed | Advances in mathematics research. Volume 10 / Albert R. Baswell, editor. |
| title_short | Advances in mathematics research. |
| title_sort | advances in mathematics research |
| topic | Mathematics Research. http://id.loc.gov/authorities/subjects/sh85082156 MATHEMATICS Research. bisacsh Mathematics Research fast |
| topic_facet | Mathematics Research. MATHEMATICS Research. Mathematics Research |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=343891 |
| work_keys_str_mv | AT baswellalbertr advancesinmathematicsresearchvolume10 |