Differential Dynamical Systems (Monographs on Mathematical Modeling and Computation)

Description

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, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.

Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics.

Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple®, Mathematica®, and MATLAB® software to give students practice with computation applied to dynamical systems problems. Audience

This textbook is intended for senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with elementary differential equations and linear algebra and should have had exposure to advanced calculus.


Contents:
List of Figures;
Preface;
Acknowledgments;
Chapter 1: Introduction;
Chapter 2: Linear Systems;
Chapter 3: Existence and Uniqueness;
Chapter 4: Dynamical Systems;
Chapter 5: Invariant Manifolds;
Chapter 6: The Phase Plane;
Chapter 7: Chaotic Dynamics;
Chapter 8: Bifurcation Theory;
Chapter 9: Hamiltonian Dynamics;
Appendix: Mathematical Software;
Bibliography;
Index


Book Description
This book combines a traditional theoretical development of ordinary differential equations with an introduction to the more modern theory of dynamical systems, placing this theory in the context of applications to physics, biology, chemistry, and engineering. For senior undergraduates and first-year graduate students in mathematics, engineering and physical sciences.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Differential Dynamical Systems (Monographs on Mathematical Modeling and Computation)" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2652
2. Stochastic Modeling in Broadband Communications Systems (Monographs on Mathematical Modeling and Computation)
3. Applied Mathematical Models in Human Physiology (Monographs on Mathematical Modeling and Computation)
4. Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)
5. Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modeling and Computation)
6. Credit Scoring & Its Applications (Monographs on Mathematical Modeling and Computation)
7. [share_ebook] Credit Scoring & Its Applications (Monographs on Mathematical Modeling and Computation)
8. Numerical Simulation in Fluid Dynamics: A Practical Introduction (Monographs on Mathematical Modeling and Computation)
9. Facts, Conjectures, and Improvements for Simulated Annealing (SIAM Monographs on Mathematical Modeling and Computation)
10. [share_ebook] Mathematical Methods in Image Reconstruction (Monographs on Mathematical Modeling and Computation)
11. Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (Mathematical Modeling and Computation)
12. An Introduction to Inverse Scattering and Inverse Spectral Problems (Monographs on Mathematical Modeling and Computation)
13. Dynamical Systems VII: Integrable Systems. Nonholonomic Dynamical Systems (Encyclopaedia of Mathematical Sciences)
14. Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems
15. Arithmetic Differential Equations (Mathematical Surveys and Monographs)
16. Partial Differential Equations: Modeling, Analysis, Computation