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Dynamical systems : theory, applications and future directions /

Virtually any advance in disease dynamics requires a sophisticated mathematical approach in order to map out the parameters that drive the system. This book exploits some of the fundamental theory of dynamical systems and applies them to biological and social sciences. Topics include the asymptotic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Tchuenche, Jean Michel (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Nova Publishers, [2013]
Colección:Mathematics research developments series.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Dynamical systems :  |b theory, applications and future directions /  |c Jean Michel Tchuenche, editor. 
264 1 |a New York :  |b Nova Publishers,  |c [2013] 
300 |a 1 online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematics Research Developments 
504 |a Includes bibliographical references and index. 
588 |a Description based on print version record. 
505 0 |a ""DYNAMICAL SYSTEMS: THEORY, APPLICATIONS AND FUTURE DIRECTIONS""; ""DYNAMICAL SYSTEMS: THEORY, APPLICATIONS AND FUTURE DIRECTIONS""; ""LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA""; ""CONTENTS""; ""PREFACE""; ""Chapter 1: MARKUS-SELLâ€?S THEOREM FOR ASYMPTOTICALLY ALMOST PERIODIC SYSTEMS""; ""Abstract""; ""1. Introduction""; ""2. Asymptotic Stability of Dynamical Systems""; ""3. Asymptotic Stability of NDS with Asymptotically Recurrent Base""; ""4. Some Applications""; ""References"" 
505 8 |a ""Chapter 2: A SURVEY OF THE METHOD OF LYAPUNOV FUNCTIONS OF TWO VARIABLES IN THE STUDY OF STABILITY AND PERSISTENCE OF DYNAMICAL SYSTEMS""""Abstract""; ""1. Introduction""; ""2. Linear Hyperbolic Systems in Rn and Their Perturbations""; ""3. Quadratic Forms and Hyperbolic Behavior""; ""4. Almost Hyperbolic Systems""; ""5. Expansive Homeomorphisms""; ""6. Expansivity, Persistence and Pseudo-Anosov Maps""; ""Conclusion""; ""References""; ""Chapter 3: KRYLOV AND SCHUR SUBSPACES IN CONSTRUCTION OF PREDICTION ERROR FILTER: COMPUTATIONAL COMPLEXITY AND PERFORMANCE COMPARISON""; ""Abstract"" 
505 8 |a ""1. Introduction""""2. Krylov Subspace and Schur Subspace""; ""3. Covariance of Prediction Error and PE Sampling Procedure""; ""4. Ritz Values and Ritz Vectors. Krylov Subspace and Schur Subspace""; ""5. Application of Krylov Subspace and Schur Subspace in Filtering""; ""6. Altimetric Data Assimilation in the Ocean Model MICOM""; ""7. Summary and Conclusion""; ""References""; ""Chapter 4: HIGH-FIDELITY MODELING AND VIBRATION-BASED SYSTEM IDENTIFICATION AND DAMAGE INSPECTION OF FLEXIBLE STRUCTURES""; ""Abstract""; ""I. Introduction""; ""II. Geometrically Exact Modeling Technique"" 
505 8 |a ""III. Full-field Damage Inspection Technique""""IV. Online Health Monitoring and System Identification Techniques""; ""V. Numerical and Experimental Results""; ""Conclusion""; ""Acknowledgment""; ""References""; ""Chapter 5: COMPLEXITY AND CHAOS THEORY IN SOCIAL SCIENCES: SCIENTIFIC PHILOSOPHY OR QUANTITATIVE SCIENCE?""; ""Abstract""; ""Introduction""; ""The Curse of Dimensionality""; ""The Data Requirement Question: A Question Far from Being a Closed Issue""; ""A Social Science Model: The Logistic Model""; ""Complexity and Chaos Theory: Implications for Social Science Research"" 
505 8 |a ""Conclusion""""References""; ""Chapter 6: LOCAL STABILITY ANALYSIS OF AN AGE-STRUCTURED HEPATITIS B TRANSMISSION MODEL""; ""Abstract""; ""1. Introduction""; ""2. The Model""; ""3. Stability of the Disease-Free State""; ""4. Existence and Stability of the Endemic States""; ""Conclusion""; ""References""; ""Chapter 7: PARAMETRIC RESONANCE AND HOMOCLINIC CHAOS IN A BULLARD-TYPE DYNAMO""; ""Abstract""; ""1. Introduction""; ""2. The Model and Governing Equations""; ""3. Parametric Excitation""; ""4. Detection of the Instability Threshold in the Model""; ""Conclusion""; ""Appendix"" 
520 |a Virtually any advance in disease dynamics requires a sophisticated mathematical approach in order to map out the parameters that drive the system. This book exploits some of the fundamental theory of dynamical systems and applies them to biological and social sciences. Topics include the asymptotic stability of almost periodic systems; modeling and vibration-based system identification and damage inspection of flexible structures; the stability and persistence of dynamical systems using Lyapunov functions; Krylov and Schur subspaces in construction of prediction error filter and its computatio. 
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650 0 |a Chaotic behavior in systems. 
650 0 |a Dynamics. 
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700 1 |a Tchuenche, Jean Michel,  |e editor. 
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