Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits

Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits PDF Author: Fathi M. Abdel Salam
Publisher: SIAM
ISBN: 9780898712186
Category : Science
Languages : en
Pages : 442

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Book Description

Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits

Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits PDF Author: Fathi M. Abdel Salam
Publisher: SIAM
ISBN: 9780898712186
Category : Science
Languages : en
Pages : 442

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Book Description


Data-Driven Science and Engineering

Data-Driven Science and Engineering PDF Author: Steven L. Brunton
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615

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Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Integrability and Nonintegrability of Dynamical Systems

Integrability and Nonintegrability of Dynamical Systems PDF Author: Alain Goriely
Publisher: World Scientific
ISBN: 981023533X
Category : Mathematics
Languages : en
Pages : 435

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Book Description
This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence of integrability, its geometrical relevance and dynamical consequences. Integrability theory is approached from different perspectives, first in terms of differential algebra, then in terms of complex time singularities and finally from the viewpoint of phase geometry (for both Hamiltonian and non-Hamiltonian systems). As generic systems of differential equations cannot be exactly solved, the book reviews the different notions of nonintegrability and shows how to prove the nonexistence of exact solutions and/or a constant of motion. Finally, nonintegrability theory is linked to dynamical systems theory by showing how the property of complete integrability, partial integrability or nonintegrability can be related to regular and irregular dynamics in phase space.

The Dynamical Systems Approach to Cognition

The Dynamical Systems Approach to Cognition PDF Author: Wolfgang Tschacher
Publisher: World Scientific
ISBN: 9812386106
Category : Psychology
Languages : en
Pages : 345

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Book Description
The shared platform of the articles collected in this volume is used to advocate a dynamical systems approach to cognition. It is argued that recent developments in cognitive science towards an account of embodiment, together with the general approach of complexity theory and dynamics, have a major impact on behavioral and cognitive science. The book points out that there are two domains that follow naturally from the stance of embodiment: first, coordination dynamics is an established empirical paradigm that is best able to aid the approach; second, the obvious goal-directedness of intelligent action (i.e., intentionality) is nicely addressed in the framework of the dynamical synergetic approach.

Proceedings of the Second Workshop on Environments and Tools for Parallel Scientific Computing

Proceedings of the Second Workshop on Environments and Tools for Parallel Scientific Computing PDF Author: J. J. Dongarra
Publisher: SIAM
ISBN: 9780898713435
Category : Reference
Languages : en
Pages : 310

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Book Description
The editors provide a review of the programming environments for parallel computers with the help of worldwide specialists in each domain. Four different domains were discussed at the workshop, and they each form a part of this book.

2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach

2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach PDF Author: Zeraoulia Elhadj
Publisher: World Scientific
ISBN: 9814464791
Category : Science
Languages : en
Pages : 357

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Book Description
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 Hénon 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 Hénon 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 Poincaré 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 Poincaré mapping in addition to other analytical methods.

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra

Proceedings of the Fifth SIAM Conference on Applied Linear Algebra PDF Author: John Gregg Lewis
Publisher: SIAM
ISBN: 9780898713367
Category : Mathematics
Languages : en
Pages : 606

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Book Description


Proceedings of the Third SIAM International Conference on Data Mining

Proceedings of the Third SIAM International Conference on Data Mining PDF Author: Daniel Barbara
Publisher: SIAM
ISBN: 9780898715453
Category : Mathematics
Languages : en
Pages : 368

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Book Description
The third SIAM International Conference on Data Mining provided an open forum for the presentation, discussion and development of innovative algorithms, software and theories for data mining applications and data intensive computation. This volume includes 21 research papers.

Proceedings of the Fifth SIAM International Conference on Data Mining

Proceedings of the Fifth SIAM International Conference on Data Mining PDF Author: Hillol Kargupta
Publisher: SIAM
ISBN: 9780898715934
Category : Mathematics
Languages : en
Pages : 670

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Book Description
The Fifth SIAM International Conference on Data Mining continues the tradition of providing an open forum for the presentation and discussion of innovative algorithms as well as novel applications of data mining. Advances in information technology and data collection methods have led to the availability of large data sets in commercial enterprises and in a wide variety of scientific and engineering disciplines. The field of data mining draws upon extensive work in areas such as statistics, machine learning, pattern recognition, databases, and high performance computing to discover interesting and previously unknown information in data. This conference results in data mining, including applications, algorithms, software, and systems.

Proceedings of the Fourth SIAM International Conference on Data Mining

Proceedings of the Fourth SIAM International Conference on Data Mining PDF Author: Michael W. Berry
Publisher: SIAM
ISBN: 9780898715682
Category : Mathematics
Languages : en
Pages : 556

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Book Description
The Fourth SIAM International Conference on Data Mining continues the tradition of providing an open forum for the presentation and discussion of innovative algorithms as well as novel applications of data mining. This is reflected in the talks by the four keynote speakers who discuss data usability issues in systems for data mining in science and engineering, issues raised by new technologies that generate biological data, ways to find complex structured patterns in linked data, and advances in Bayesian inference techniques. This proceedings includes 61 research papers.