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 is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.

On the subject of differential equations many elementary books have been written.

On the subject of differential equations many elementary books have been written.

bookmarks, note taking and highlighting while reading Nonlinear Differential Equations and Dynamical Systems (Universitext). On the subject of differential equations many elementary books have been written.

Use features like bookmarks, note taking and highlighting while reading Nonlinear Differential Equations and Dynamical Systems (Universitext). The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed first. Stability theory is then developed starting with linearisation methods going back to Lyapunov and Poincaré.

Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939. Among his other interests are a publishing company, Epsilon Uitgaven, that he founded in 1985, and the relation between dynamical systems and psychoanalysis

Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939. He graduated at the University of Amsterdam in Astrophysics and Mathematics. A period of five years at the Technological University of Delft, started his interest in technological problems, resulting in various cooperations with engineers. His other interests include the methods and applications of asymptotic analysis, nonlinear oscillations and wave theory. Among his other interests are a publishing company, Epsilon Uitgaven, that he founded in 1985, and the relation between dynamical systems and psychoanalysis. For more information see ww. ath.

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Nonlinear Differential Equations and Dynamical Systems. by Ferdinand Verhulst. On the subject of differential equations many elementary books have been written

Nonlinear Differential Equations and Dynamical Systems.

Start by marking Nonlinear Differential Equations and Dynamical Systems (Universitext) as Want to Read . Stability theory is developed On the subject of differential equations a great many elementary books have been written.

Start by marking Nonlinear Differential Equations and Dynamical Systems (Universitext) as Want to Read: Want to Read savin. ant to Read. The basic concepts necessary to study differential equations - critical points and equilibrium, periodic solutions, invariant sets and invariant manifolds - are discussed. Stability theory is developed starting with linearisation methods going back to Lyapunov and Poincaré. The global direct method is then discussed.

Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincare, before moving on to the global direct method. The Poincare-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem.

On the subject of differential equations many elementary books have . Ferdinand Verhulst was born in Amsterdam, The Netherlands, in 1939. He holds a chair of dynamical systems at the department of mathematics at the University of Utrecht. nl/people/verhulst show more.

Author: Ferdinand Verhulst. Nonlinear Differential Equations and Dynamical Systems (Universitext). Differential equations and dynamical systems. Differential Equations, Dynamical Systems, and Linear Algebra.