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Shadowing in Dynamical Systems
K. H. Palmer
€ 127.37
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Description for Shadowing in Dynamical Systems
Hardback. Develops the theory of hyperbolic sets, for diffeomorphisms and flows, with a focus on shadowing. This title is intended 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. Series: Mathematics and its Applications. Num Pages: 300 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 19. Weight in Grams: 625.
In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic.
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 ... Read more
In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic.
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 ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Kluwer Academic Publishers United States
Number of pages
300
Condition
New
Series
Mathematics and its Applications
Number of Pages
300
Place of Publication
Dordrecht, Netherlands
ISBN
9780792361794
SKU
V9780792361794
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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