Matches in Harvard for { <http://id.lib.harvard.edu/aleph/007146183/catalog> ?p ?o. }
Showing items 1 to 26 of
26
with 100 items per page.
- catalog abstract "On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. 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. In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book. This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation- and information dimension. In Hamiltonian systems, topics like Birkhoff normal forms and the Poincaré-Birkhoff theorem on periodic solutions have been added. There are now 6 appendices with new material on invariant manifolds, bifurcation of strongly nonlinear self-excited systems and normal forms of Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, and is illustrated by many examples.".
- catalog alternative "Nietlineaire differentiaalvergelijkingen en dynamische systemen. English".
- catalog contributor b9889089.
- catalog created "c1996.".
- catalog date "1996".
- catalog date "c1996.".
- catalog dateCopyrighted "c1996.".
- catalog description "Includes bibliographical references (p.295-300) and index.".
- catalog description "On the subject of differential equations many elementary books have been written. This book bridges the gap between elementary courses and research literature. 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. In the last four chapters more advanced topics like relaxation oscillations, bifurcation theory, chaos in mappings and differential equations, Hamiltonian systems are introduced, leading up to the frontiers of current research: thus the reader can start to work on open research problems, after studying this book. This new edition contains an extensive analysis of fractal sets with dynamical aspects like the correlation- and information dimension. In Hamiltonian systems, topics like Birkhoff normal forms and the Poincaré-Birkhoff theorem on periodic solutions have been added. There are now 6 appendices with new material on invariant manifolds, bifurcation of strongly nonlinear self-excited systems and normal forms of Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, and is illustrated by many examples.".
- catalog extent "x, 303 p. :".
- catalog identifier "3540609342 (pbk. : alk. paper)".
- catalog isPartOf "Universitext".
- catalog issued "1996".
- catalog issued "c1996.".
- catalog language "eng dut".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer Verlag,".
- catalog subject "515/.355 20".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Differential equations, Nonlinear.".
- catalog subject "Engineering mathematics.".
- catalog subject "Mathematics.".
- catalog subject "QA372 .V4713 1996".
- catalog title "Nietlineaire differentiaalvergelijkingen en dynamische systemen. English".
- catalog title "Nonlinear differential equations and dynamical systems / Ferdinand Verhulst.".
- catalog type "text".