ISBN: 9789048141197
This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis. Textbooks New Books ~~ Mathematics~~ Applied Stability-and-Oscillations-in-Delay-Differential-Equations-of-Population-Dynamics~~K-Gopalsamy Springer Netherlands This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.
[USA] |
Barnesandnoble.com
Free Shipping on eligible orders over $25 Versandkosten:zzgl. Versandkosten
Details... |
K. Gopalsamy:
Stability and Oscillations in Delay Differential Equations of Population Dynamics - gebrauchtes BuchISBN: 9789048141197
ID: 9789048141197
This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis. Textbooks New, Books~~Mathematics~~Applied, Stability-and-Oscillations-in-Delay-Differential-Equations-of-Population-Dynamics~~K-Gopalsamy, 999999999, Stability and Oscillations in Delay Differential Equations of Population Dynamics, K. Gopalsamy, 9048141192, Springer Netherlands, , , , , Springer Netherlands
Barnesandnoble.com
MPN: , SKU 9789048141197 Versandkosten:zzgl. Versandkosten
Details... |
ISBN: 9789048141197
ID: 978904814119
This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis. K. Gopalsamy, Books, Science and Nature, Stability and Oscillations in Delay Differential Equations of Population Dynamics Books>Science and Nature, Springer Netherlands
Indigo.ca
new Free shipping on orders above $25 Versandkosten:zzgl. Versandkosten
Details... |
2010, ISBN: 9048141192
ID: 10071051381
[EAN: 9789048141197], Neubuch, [PU: Springer Dez 2010], This item is printed on demand - Print on Demand Titel. - This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations. Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis. 516 pp. Englisch
Abebooks.de
AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
NEW BOOK Versandkosten:Versandkostenfrei (EUR 0.00) Details... |
2010, ISBN: 9789048141197
ID: 14930242
1st ed. Softcover of orig. ed. 1992, Softcover, Buch, [PU: Springer]
Lehmanns.de
Versandkosten:Versand in 7-9 Tagen, , Versandkostenfrei innerhalb der BRD (EUR 0.00)
Details... |
Autor: | |
Titel: | Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications (closed)) |
ISBN-Nummer: | 9048141192 |
Detailangaben zum Buch - Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications (closed))
EAN (ISBN-13): 9789048141197
ISBN (ISBN-10): 9048141192
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
516 Seiten
Gewicht: 0,772 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 07.01.2011 17:25:25
Buch zuletzt gefunden am 19.07.2016 00:50:44
ISBN/EAN: 9048141192
ISBN - alternative Schreibweisen:
90-481-4119-2, 978-90-481-4119-7
< zum Archiv...
Benachbarte Bücher
- "Exterior Differential Systems and Equivalence Problems", von "Kichoon Yang" (9789048141180)
- "Quantum Chaos - Quantum Measurement", von "Herausgegeben von Cvitanovic, P. Percival, I. Wirzba, A." (9789048141203)
- "Basement Tectonics 7", von "Robert Mason" (9789048141173)
- "The Elemental Dialectic of Light and Darkness: The Passions of the Soul in the Onto-poiesis of Life (Analecta Husserliana)", von "A-T. Tymieniecka" (9789048141210)
- "Galileo's Logical Treatises", von "Wallace, W. A." (9789048141166)
- "Clinical Management of Renal Transplantation", von "Mary G. McGeown" (9789048141227)