Shadowing in Dynamical Systems: Theory and Applications - Mathematics and Its Applications 501 (Hardback)K.J. Palmer (author)
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It turns out that chaotic dynamical systems arising in practice are not quite hyperbolic. However, they possess enough hyperbolicity to enable us to use shadowing ideas to give computer-assisted proofs that computed orbits of such systems can be shadowed by true orbits for long periods of time, that they possess periodic orbits of long periods and that it is really true that they are chaotic.
Audience: This book is intended primarily for research workers in dynamical systems but could also be used in an advanced graduate course taken by students familiar with calculus in Banach spaces and with the basic existence theory for ordinary differential equations.
Number of pages: 300
Weight: 1380 g
Dimensions: 234 x 156 x 19 mm
Edition: 2000 ed.