Differential Equations, Dynamical Systems, and an Introduction to Chaos
  • Author : Morris W. Hirsch
  • Release Date : 05 July 2022
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 417
  • ISBN 13 : 9780123497031
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Book excerpt: This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout.

Differential Equations  Dynamical Systems  and an Introduction to Chaos

Differential Equations Dynamical Systems and an Introduction to Chaos

Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
Publisher : Academic Press
Genre : Mathematics
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This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. ...

Differential Equations and Dynamical Systems

Differential Equations and Dynamical Systems

Author : Lawrence Perko
Publisher : Springer Science & Business Media
Genre : Mathematics
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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has ...

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Publisher : Springer
Genre : Mathematics
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BACKGROUND Sir Isaac Newton hrought to the world the idea of modeling the motion of physical systems with equations. It was necessary to invent calculus along the way, since fundamental equations of motion involve velocities and accelerations, of position. His greatest single success was his discovery that which are derivatives ...

An Introduction To Chaotic Dynamical Systems

An Introduction To Chaotic Dynamical Systems

Author : Robert Devaney
Publisher : CRC Press
Genre : Science
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The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his ...

Differential Equations  Dynamical Systems  and an Introduction to Chaos

Differential Equations Dynamical Systems and an Introduction to Chaos

Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
Publisher : Academic Press
Genre : Mathematics
Get Book

Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the ...

Nonlinear Dynamical Systems and Chaos

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Author : H.W. Broer,I. Hoveijn,F. Takens,S.A. van Gils
Publisher : Birkhäuser
Genre : Mathematics
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Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks ...

Chaos and Dynamical Systems

Chaos and Dynamical Systems

Author : David Feldman
Publisher : Princeton University Press
Genre : Mathematics
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The author presents an accessible, clear introduction to dynamical systems and chaos theory, important and exciting areas that have shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex....

Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems

Author : Gerald Teschl
Publisher : American Mathematical Soc.
Genre : Mathematics
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This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, ...

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Author : Luis Barreira,Claudia Valls
Publisher : Springer Science & Business Media
Genre : Mathematics
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The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ...

Nonlinear Differential Equations and Dynamical Systems

Nonlinear Differential Equations and Dynamical Systems

Author : Ferdinand Verhulst
Publisher : Springer Science & Business Media
Genre : Mathematics
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Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method ...

Differential Equations  Dynamical Systems  and Linear Algebra

Differential Equations Dynamical Systems and Linear Algebra

Author : Morris W. Hirsch,Robert L. Devaney,Stephen Smale
Publisher : Academic Press
Genre : Mathematics
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This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject....

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Genre : Mathematics
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This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From ...

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Author : James D. Meiss
Publisher : SIAM
Genre : Mathematics
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Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, ...

Stability  Instability and Chaos

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Publisher : Cambridge University Press
Genre : Mathematics
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Introduction to Differential Equations with Dynamical Systems

Author : Stephen L. Campbell,Richard Haberman
Publisher : Princeton University Press
Genre : Mathematics
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Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential ...