Covering the field of nonlinear dynamics, this study examines such topics as: hiking among rabbits; duffing; the Lorenz equations; Poincare sections; parameter dependence; structural stability; transverse sections and sequences; reduction to the centre manifold; and resonances.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Illustrationen
129 line illustrations, 1 halftone, references, indexes
Maße
ISBN-13
978-0-7503-0379-8 (9780750303798)
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Schweitzer Klassifikation
Autor*in
Department of Mathematics, Royal Institute of Technology, Sweden
Departmento de Fisica, Universidad de Buenos Aires, Argentina
Nonlinear dynamics in nature; linear dynamics; nonlinear examples; elements of the description; elementary stability theory; bidimensional flows; bifurcations; numerical experiments; global bifurcations I; horseshoes; one dimensional maps; topological structure of 3-d flows; the dynamics behind data; perturbative methods - averaging; bifurcations and symmetries; global bifurcations II.