Chaos
Subtitle: an Introduction to Dynamical Systems {Textbooks in Mathematical Sciences}
Contributors: Alligood, K. T.; Sauer, T. D.
Publisher: Springer-Verlag New York Inc.
Published: 2000
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 622
ISBN-13: 9780387224923
Subjects: Chaotic behavior in systems; Computer science; Differentiable dynamical systems; Mathematics
Description: Spanning non-linear dynamics throughout mathematics and the natural and physical sciences, 'Chaos: An Introduction to Dynamical Systems' develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Topics included are discrete dynamical systems, chaos, fractals and bifurcations.
Notes: Introduction; contents; 1 one-dimensional maps; 2 two-dimensional maps; 3 chaos; 4 fractals; 5 chaos in two-dimensional maps; 6 chaotic attractors; 7 differential equations; 8 periodic orbits and limit sets; 9 chaos in differential equations; 10 stable manifolds and crises; 11 bifurcations; 12 cascades; 13 state reconstruction from data; appendix a matrix algebra; appendix b computer solution of odes; answers and hints to selected exercises; bibliography; index.

Description based on print version record.