Download Invariant Sets for Windows by Albert D Morozov; Timothy N Dragunov; Svetlana A Boykova; PDF

By Albert D Morozov; Timothy N Dragunov; Svetlana A Boykova; Olga V Malysheva

This booklet offers with the visualization and exploration of invariant units (fractals, unusual attractors, resonance buildings, styles etc.) for numerous different types of nonlinear dynamical platforms. The authors have created a unique home windows ninety five software known as WInSet, which permits one to imagine the invariant units. A WInSet deploy disk is enclosed with the book.

The publication involves components. half I encompasses a description of WInSet and a listing of the integrated invariant units that are plotted utilizing this system. This half is meant for a large viewers with pursuits starting from dynamical structures to computing device design.

In half II, the invariant units offered partly I are investigated from the theoretical point of view. The invariant units of dynamical platforms with one, one-and-a-half and levels of freedom, in addition to these of two-dimensional maps, are mentioned. the elemental types of the diffusion equations also are thought of. This a part of the ebook is meant for a extra complex reader, with at the least a BSc in arithmetic.

Show description

Read or Download Invariant Sets for Windows PDF

Similar algebraic geometry books

Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

Conics and Cubics is an available advent to algebraic curves. Its concentrate on curves of measure at such a lot 3 retains effects tangible and proofs obvious. Theorems stick with clearly from highschool algebra and key principles: homogenous coordinates and intersection multiplicities.

By classifying irreducible cubics over the true numbers and proving that their issues shape Abelian teams, the booklet provides readers quick access to the learn of elliptic curves. It features a basic facts of Bezout's Theorem at the variety of intersections of 2 curves.

The publication is a textual content for a one-semester direction on algebraic curves for junior-senior arithmetic majors. the one prerequisite is first-year calculus.

The re-creation introduces the deeper learn of curves via parametrization by means of energy sequence. makes use of of parametrizations are offered: counting a number of intersections of curves and proving the duality of curves and their envelopes.

About the 1st edition:

"The booklet. .. belongs within the admirable culture of laying the principles of a tough and probably summary topic through concrete and obtainable examples. "

- Peter Giblin, MathSciNet

Cubic Metaplectic Forms and Theta Functions

The ebook is an advent to the idea of cubic metaplectic types at the third-dimensional hyperbolic area and the author's examine on cubic metaplectic kinds on exact linear and symplectic teams of rank 2. the themes comprise: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein sequence, cubic theta services, Whittaker capabilities.

A Primer of Real Analytic Functions

This booklet treats the topic of analytic services of 1 or extra genuine variables utilizing, virtually completely, the strategies of genuine research. This technique dramatically alters the typical development of principles and brings formerly missed arguments to the fore. the 1st bankruptcy calls for just a historical past in calculus; the therapy is sort of self-contained.

Representation Theory and Mathematical Physics: Conference in Honor of Gregg Zuckerman's 60th Birthday October 24-27, 2009 Yale University

This quantity includes the lawsuits of the convention on illustration thought and Mathematical Physics, in honor of Gregg Zuckerman's sixtieth birthday, held October 24-27, 2009, at Yale college. Lie teams and their representations play a primary position of arithmetic, particularly due to connections to geometry, topology, quantity concept, physics, combinatorics, and plenty of different components.

Extra info for Invariant Sets for Windows

Sample text

Plot options" window (page History). com by UNIVERSITY OF BIRMINGHAM on 08/10/16. For personal use only. 6aystems Canal H4> Fig. 19. 7. Defining Your Own Equations WInSet not only enables you to explore the built-in classical dynamical systems, but also lets you define and study your own dynamical system. Choose the item "New User-Defined System" in the "System" menu, and the dialog "New User-Defined System" appears (see Fig.

Xn 2/n+i = (yn - x\) COS(2TT/P1) + xn COS(2TT/P1), sm(2it/pi). 3) Parameters: p\ = 6 (by default). ini. Henon_2 m a p N a m e in W I n S e t : Henon2 Formula: xn+\ =yn + l+pix2n, 2/n+l = P2XnParameters: px = 1, P2 = 1 (by default). ini. 4) Chapter 3. com by UNIVERSITY OF BIRMINGHAM on 08/10/16. For personal use only. 48 Equations... Fig. 4. ini). 5) Vn-P2 2xn+i Parameters: p1 = 0, p2 = 1 (by default). ini. 5. 9 (by default). ini, MiralJ2. com by UNIVERSITY OF BIRMINGHAM on 08/10/16. For personal use only.

The type of plotting can be selected from the drop-down "Draw 34 Chapter 2. Description of WInSet Program Dowta* ]BBHE3 Mw Mi* F 3 I314159 Mr |314159 ]Kdo ^ Am? com by UNIVERSITY OF BIRMINGHAM on 08/10/16. For personal use only. *•' 3 f OK ) Cred } H»fr { Fig. 11. "Plot Options" window. type" list. For a system of ordinary differential equations two types of plotting are possible: Map (a Poincare map) and Traject (trajectory). If you select the "Traject" option, the "3D graphics" checkbox will appear.

Download PDF sample

Rated 4.58 of 5 – based on 41 votes