Dynamical Systems, Graphs, and Algorithms

• Main Author: Osipenko, George (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1889
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential equations.; Numerical analysis.; Global Analysis and Analysis on Manifolds.; Numerical Analysis.; Ordinary Differential Equations.

Table of Contents:

• Symbolic Image
• Periodic Trajectories
• Newton's Method
• Invariant Sets
• Chain Recurrent Set
• Attractors
• Filtration
• Structural Graph
• Entropy
• Projective Space and Lyapunov Exponents
• Morse Spectrum
• Hyperbolicity and Structural Stability
• Controllability
• Invariant Manifolds
• Ikeda Mapping Dynamics
• A Dynamical System of Mathematical Biology.