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Détail de l'auteur
Auteur Frank C. HOPPENSTEADT
Documents disponibles écrits par cet auteur
Affiner la recherche Interroger des sources externesAnalysis and simulation of chaotic systems (2000) / Frank C. HOPPENSTEADT
Titre : Analysis and simulation of chaotic systems Type de document : texte imprimé Auteurs : Frank C. HOPPENSTEADT, Auteur Mention d'édition : 2nd éd. Editeur : Berlin : Springer-Verlag Année de publication : 2000 Collection : Applied Mathematical Sciences, ISSN 0066-5452 num. 94 Importance : 315 p. ISBN/ISSN/EAN : 978-0-387-98943-3 Langues : Anglais (eng) Catégories : 00A69
34-01
34Cxx
65L99
93-01
94C99Mots-clés : système linéaire système dynamique bifurcation perturbation Résumé : Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro- differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added. Note de contenu : index, références Analysis and simulation of chaotic systems [texte imprimé] / Frank C. HOPPENSTEADT, Auteur . - 2nd éd. . - Springer-Verlag, 2000 . - 315 p.. - (Applied Mathematical Sciences, ISSN 0066-5452; 94) .
ISBN : 978-0-387-98943-3
Langues : Anglais (eng)
Catégories : 00A69
34-01
34Cxx
65L99
93-01
94C99Mots-clés : système linéaire système dynamique bifurcation perturbation Résumé : Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable mathematical models that are amenable to further mathematical analysis or to elucidating computer simulations. For the most part, derivations are based on perturbation methods. Because of this, the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. This explains why stability results developed for quite simple problems are often useful for more complicated, even chaotic, ones. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro- differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added. Note de contenu : index, références Réservation
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Code-barres Cote Support Localisation Section Disponibilité E710 HOP/34/CAE 637 Livre Recherche Salle Disponible i1533 HOP/34/i1533 Livre Recherche Salle Disponible Modeling and simulation in medicine and the life sciences (2002) / Frank C. HOPPENSTEADT
Titre : Modeling and simulation in medicine and the life sciences Type de document : texte imprimé Auteurs : Frank C. HOPPENSTEADT, Auteur ; Charles S. PESKIN, Auteur Mention d'édition : 2nd éd. Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Texts in applied mathematics num. 10 Importance : 337 p. ISBN/ISSN/EAN : 978-0-387-95072-3 Langues : Anglais (eng) Catégories : 92-01
92B05
92D99Mots-clés : modèle simulation médecine sciences Résumé : Mathematics in Medicine and the Life Sciences grew from lectures given by the authors at New York University, the University of Utah, and Michigan State University. The material is written for students who have had but one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well, and solutions to selected exercises are included. Numerous illustrations depict physiological processes, population biology phenomena, models of them, and the results of computer simulations.
Mathematical models and methods are becoming increasingly important in medicine and the life sciences. This book provides an introduction to a wide diversity of problems ranging from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models. Materials that deal with the same topics but in greater depth are included later. Finally, exercises and some solutions are given to test the reader on important parts of the material in the text, or to lead the reader to the discovery of interesting extensions of that material.Note de contenu : index, references Modeling and simulation in medicine and the life sciences [texte imprimé] / Frank C. HOPPENSTEADT, Auteur ; Charles S. PESKIN, Auteur . - 2nd éd. . - Springer-Verlag, 2002 . - 337 p.. - (Texts in applied mathematics; 10) .
ISBN : 978-0-387-95072-3
Langues : Anglais (eng)
Catégories : 92-01
92B05
92D99Mots-clés : modèle simulation médecine sciences Résumé : Mathematics in Medicine and the Life Sciences grew from lectures given by the authors at New York University, the University of Utah, and Michigan State University. The material is written for students who have had but one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well, and solutions to selected exercises are included. Numerous illustrations depict physiological processes, population biology phenomena, models of them, and the results of computer simulations.
Mathematical models and methods are becoming increasingly important in medicine and the life sciences. This book provides an introduction to a wide diversity of problems ranging from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models. Materials that deal with the same topics but in greater depth are included later. Finally, exercises and some solutions are given to test the reader on important parts of the material in the text, or to lead the reader to the discovery of interesting extensions of that material.Note de contenu : index, references Réservation
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Code-barres Cote Support Localisation Section Disponibilité E817 HOP/92/CAE 734 Livre Recherche Salle Disponible