"A major role in the development of the theory of classical dynamical systems is played by the Hamiltonian formulation of the equations of dynamics. This chapter is intended to provide a basic knowledge of the formalism, assuming that the Lagrangian formalism is known. A reader …
Dynamical systems -- Waves in plasmas -- Bifurcation of small amplitude waves in plasmas -- Bifurcation of arbitrary amplitude waves in plasmas -- Bifurcation analysis of supernonlinear waves -- Chaos, multistability and stable oscillation in plasmas. "This book provides clear …
Hyperbolic Flows
by Fisher, Todd, Hasselblatt, Boris
fromZurich Lectures in Advanced Mathematics
A combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975. Using tools from theoretical computer science, formal languages and automata, the complexity of symbolic behaviors of dynamical systems is classifi…