Download 2-D Quadratic Maps and 3-D ODE Systems. A Rigorous Approach by Elhadj Zeraoulia, Julien Clinton Sprott PDF

By Elhadj Zeraoulia, Julien Clinton Sprott

ISBN-10: 9814307742

ISBN-13: 9789814307741

Show description

Read or Download 2-D Quadratic Maps and 3-D ODE Systems. A Rigorous Approach PDF

Best nonfiction_14 books

Digital Preservation: Putting It to Work

This ebook addresses the method of conserving electronic gadgets via time to make sure persevered entry, a side that has turn into a vital factor in recent times. It offers a concise but accomplished dialogue of key thoughts and necessities for long term electronic renovation, and offers a pioneering framework for electronic repositories that permits the long term archiving and metadata administration for giant volumes of electronic assets according to a method that has already been thoroughly designed and introduced.

Bariatric and Metabolic Surgery: Indications, Complications and Revisional Procedures

This booklet describes the surgical bariatric techniques most often played all over the world and examines their evolution in recent times either inside of Italy and the world over. for every operation, symptoms, the surgical procedure, capability issues, and the results with appreciate to weight and obesity-associated comorbidities are offered.

The Edible City: Toronto’s Food from Farm to Fork

If a urban is its humans, and its everyone is what they consume, then shouldn’t nutrition play a bigger function in our discussion approximately how and the place we are living? The nutrition of a city is vital to its personality. local vegetation, proximity to farmland, the destinations of supermarkets, immigration, food-security issues, how cooks are expert: how a urban nourishes itself may possibly say greater than the rest approximately what sort of urban it's.

Location-Based Social Media: Space, Time and Identity

This publication appears extends present understandings of the results of utilizing locative social media on spatiality, the event of time and identification. it is a pertinent and well timed subject given the rise in possibilities humans now need to explicitly and implicitly percentage their position via electronic and cellular applied sciences.

Additional info for 2-D Quadratic Maps and 3-D ODE Systems. A Rigorous Approach

Example text

3. The most crucial role of Smale’s horseshoe is its relationship to the homoclinic tangency11 discovered by Poincar´e while investigating the threebody problem of celestial mechanics [Tufillaro et al. (1987)]. 22. (a) The invariant manifold of a map f is a set of points X such that f (X) ⊂ X 12 . (b) Given a fixed point Y0 in the invariant manifold, the manifold Y is called stable if ∀y ∈ Y , limn→∞ f n (y) → Y0 . Similarly, a manifold is called unstable if ∀y ∈ Y , limn→∞ f −n (y) → Y0 . (c) A fixed point is hyperbolic if it is the intersection of one or more stable manifolds and one or more unstable manifolds.

1) Choose a simple and completely controllable linear plant15 . (2) Choose a static nonlinear subsystem16 . 67) (4) Train the ANN by a model-reference adaptive control method using the framework shown in Fig. 9(a). 68) 15 This plant can be in the first canonical form, with the same dimension as the unknown chaotic system to be identified. If the dimension of the chaotic system is unknown, then it is possible to increase the dimension during the training process until satisfactory results are obtained.

X) = 1 for x > 0, and χ (x) = 0 for x ≤ 0). For large N2 (which in practical terms means a few tens), the Mann-Whitney (M-W) rank-sum statistic is given by Z= W − 21 N1 N2 1 12 N1 N2 . 28. The Mann–Whitney rank-sum statistic Z is normally distributed with zero mean and unit variance under the null hypothesis that the two observed samples came from the same distribution. 96 [Zar (1984)], we can reject the null hypothesis at the 95% confidence level. An example to how to apply the algorithm based on time series analysis to the H´enon map is given in Sec.

Download PDF sample

Rated 4.47 of 5 – based on 10 votes