2-D Quadratic Maps and 3-D ODE Systems

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Publisher : World Scientific
ISBN 13 : 9814307742
Total Pages : 357 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis 2-D Quadratic Maps and 3-D ODE Systems by : Elhadj Zeraoulia

Download or read book 2-D Quadratic Maps and 3-D ODE Systems written by Elhadj Zeraoulia and published by World Scientific. This book was released on 2010 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the Hnon map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward Hnon mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincar map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincar mapping in addition to other analytical methods.

Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 0429647425
Total Pages : 307 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Dynamical Systems by : Zeraoulia Elhadj

Download or read book Dynamical Systems written by Zeraoulia Elhadj and published by CRC Press. This book was released on 2019-01-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.

Lozi Mappings

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Publisher : CRC Press
ISBN 13 : 1466580720
Total Pages : 334 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Lozi Mappings by : Zeraoulia Elhadj

Download or read book Lozi Mappings written by Zeraoulia Elhadj and published by CRC Press. This book was released on 2013-08-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map. Henon map is one of the most studied examples in dynamical systems and it attracts a lot of attention from researchers, however it is difficult to analyze analytically. Simpler structure of the Lozi map makes it more suitable fo

Publishers' circular and booksellers' record

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Publisher :
ISBN 13 :
Total Pages : 738 pages
Book Rating : 4.B/5 (1 download)

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Download or read book Publishers' circular and booksellers' record written by and published by . This book was released on 1881 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Publishers' Circular and Booksellers' Record of British and Foreign Literature

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Publisher :
ISBN 13 :
Total Pages : 1452 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Publishers' Circular and Booksellers' Record of British and Foreign Literature written by and published by . This book was released on 1881 with total page 1452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Publishers' Circular and General Record of British and Foreign Literature

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Publisher :
ISBN 13 :
Total Pages : 1454 pages
Book Rating : 4.:/5 (334 download)

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Download or read book The Publishers' Circular and General Record of British and Foreign Literature written by and published by . This book was released on 1881 with total page 1454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the ... American Control Conference

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Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Proceedings of the ... American Control Conference written by and published by . This book was released on 1983 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equations and Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1468402498
Total Pages : 530 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Differential Equations and Dynamical Systems by : Lawrence Perko

Download or read book Differential Equations and Dynamical Systems written by Lawrence Perko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence bf interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mat!!ematics (TAM). The development of new courses is a natural consequence of a high level of excitement oil the research frontier as newer techniques, such as numerical and symbolic cotnputer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math ematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface to the Second Edition This book covers those topics necessary for a clear understanding of the qualitative theory of ordinary differential equations and the concept of a dynamical system. It is written for advanced undergraduates and for beginning graduate students. It begins with a study of linear systems of ordinary differential equations, a topic already familiar to the student who has completed a first course in differential equations.

Ordinary Differential Equations and Dynamical Systems

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Publisher : American Mathematical Society
ISBN 13 : 147047641X
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl and published by American Mathematical Society. This book was released on 2024-01-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

Proceedings of the 1983 American Control Conference, Sheraton-Palace Hotel, San Francisco, California, June 22, 23, 24, 1983

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Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Proceedings of the 1983 American Control Conference, Sheraton-Palace Hotel, San Francisco, California, June 22, 23, 24, 1983 by :

Download or read book Proceedings of the 1983 American Control Conference, Sheraton-Palace Hotel, San Francisco, California, June 22, 23, 24, 1983 written by and published by . This book was released on 1983 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Journal of Physics

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Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Journal of Physics by :

Download or read book American Journal of Physics written by and published by . This book was released on 1993 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Data Sources

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Publisher :
ISBN 13 :
Total Pages : 1878 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Data Sources by :

Download or read book Data Sources written by and published by . This book was released on 2000 with total page 1878 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geobyte

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Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Geobyte written by and published by . This book was released on 1992 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Educational Times

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Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.E/5 ( download)

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Download or read book Educational Times written by and published by . This book was released on 1887 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

3-D Computer Animation

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Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 3-D Computer Animation by : John A. Vince

Download or read book 3-D Computer Animation written by John A. Vince and published by Addison Wesley Publishing Company. This book was released on 1992 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tutorial guide to current techniques for 3-dimensional computer animation that explains key concepts at a level requiring little mathematical background. It is ideal for self study by computer graphics professionals and others who need a guide to today's animation techniques.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physical Review

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Publisher :
ISBN 13 :
Total Pages : 1344 pages
Book Rating : 4.3/5 (97 download)

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Download or read book Physical Review written by and published by . This book was released on 1996 with total page 1344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.