Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems

Eusebius Doedel, Laurette S. Tuckerman (Herausgeber)

Buch | Softcover

481 Seiten

2012 | Softcover reprint of the original 1st ed. 2000
Springer-Verlag New York Inc.
978-1-4612-7044-7 (ISBN)

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Dynamical systems theory and related numerical algorithms provide powerful tools for studying the solution behavior of differential equations and mappings. The papers in this volume are based on lectures given at the first two workshops held as part of the 1997- 1998 IMA Academic Year on Emerging Applications of Dynamical Systems. The first workshop concentrated on complex computational issues in dynamical systems. The second workshop addressed the development and application of special iterative methods for large scale systems. It also considered global model reduction schemes for PDEs.

Numerical bifurcation techniques for chemical reactor problems.- Path-following of large bifurcation problems with iterative methods.- On the bifurcation from continuous to segmented chip formation in metal cutting.- Using dynamical system tools in Matlab.- Formation and instabilities of coherent structures in channel flows.- Applications of smooth orthogonal factorizations of matrices.- Continuation of codimension-2 equilibrium bifurcations in Content.- Inclination-flips in the unfolding of a singular heteroclinic cycle.- Investigating torus bifurcations in the forced Van der Pol oscillator.- Quasiperiodic response to parametric excitations.- Self-organized criticality: analysis and simulation of a ID sandpile.- Computation and bifurcation analysis of periodic solutions of large-scale systems.- Multiple equilibria and stability of the north-atlantic wind-driven ocean circulation.- Numerical exploration of bifurcation phenomena associated with complex instability.- Chaos in traveling waves of lattice systems of unbounded media.- Pattern formation in a cellular slime mold.- Global parametrization and computation of resonance surfaces for periodically forced oscillators.- Computing invariant tori and circles in dynamical systems.- A Design problem for image processing.- Bifurcation analysis for timesteppers.- List of participants.

Reihe/Serie	The IMA Volumes in Mathematics and its Applications ; 119
Zusatzinfo	X, 481 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Schlagworte	Analysis
ISBN-10	1-4612-7044-8 / 1461270448
ISBN-13	978-1-4612-7044-7 / 9781461270447
Zustand	Neuware