5 edition of **Continuation and Bifurcations: Numerical Techniques and Applications (NATO Science Series C: (closed))** found in the catalog.

- 155 Want to read
- 25 Currently reading

Published
**August 31, 1990** by Springer .

Written in English

- Numerical analysis,
- Differential Equations - Partial Differential Equations,
- Differential Equations,
- Mathematics,
- Science/Mathematics,
- Number Systems,
- Engineering - Electrical & Electronic,
- Mathematics / Number Systems,
- Mathematics-Number Systems,
- Technology-Engineering - Electrical & Electronic,
- Bifurcation theory,
- Congresses,
- Continuation methods

**Edition Notes**

Contributions | D. Roose (Editor), Bart De Dier (Editor), Alastair Spence (Editor) |

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 444 |

ID Numbers | |

Open Library | OL7806367M |

ISBN 10 | 0792308557 |

ISBN 10 | 9780792308553 |

The course covers basic concepts of probability, discrete and continuous random variables, probability distributions, data description techniques, random samples, estimations, hypothesis testing, regression, and statistical quality control. Introduction to Probability: sets, sample setsevents, axioms of probability, simple results, equally likely outcomes, probability as a continuous set function and probability as a measure of belief, conditional probability, independent events, Bayes' formula, inverting probability trees. For example, Chapter 2 might be used for a short course on numerical continuation it contains a large number of exercises. If a good preconditioner can be constructed in the first approach, these methods will be more efficient than methods based on time simulation. Roose, B.

Appendix A summarizes simple estimates of convergence of Newton-like methods. In this course, you will learn about principles and algorithms for extracting patterns from data and and making effective automated predictions. Dynamics Differential Equations 5, 37— Several numerical methods are based on this idea, such as the recursive projection method Keller et al. The second result is: An n-1 -dimensional simplex can be tested to determine if the unique linear interpolant takes on the value 0 inside the simplex.

In Russian. Analytical techniques that yield exact solutions to problems are developed when possible, but in many cases, numerical calculations are employed using programs such as Matlab and Maple. Google Scholar Khibnik, A. Introduction to Probability: sets, sample setsevents, axioms of probability, simple results, equally likely outcomes, probability as a continuous set function and probability as a measure of belief, conditional probability, independent events, Bayes' formula, inverting probability trees. The initial simplex is then replaced by the simplex which lies across either face containing zero, and the process is repeated. Illustrative examples are used to motivate mathematical topics including ordinary and partial differential equations, Fourier analysis, eigenvalue problems, and stability analysis.

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The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems.

Algorithms 14, 79— This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.

The spring course emphasizes the study of Vector Analysis: space curves, Frenet-Serret formulae, vector theorems, reciprocal systems, co- and contra-variant components, orthogonal curvilinear systems. Please see the article on piecewise linear continuation for details.

This book is meant for those who want to apply numerical methods to bifurcation and dynamical systems problems.

Diekmann and Yu. Dynamics Differential Equations 5, 37— The book as a whole is not written as a textbook for teaching. A fourth part is devoted to the presentation of the software platform Siconos.

The second is a detailed treatment of bialternate matrix products and their Jordan structure. Google Scholar Rodriguez-Luis, A. Google Scholar Guckenheimer, J. Emphasis is placed on building intuition for the underlying concepts and their applications in engineering practice along with tools for solving problems.

Activity: Lecture 1.

We deal mainly with the continuous-time case and give only brief remarks on discrete-time systems. We will not sell or rent your email address to third parties. Preview Unable to display preview.

Google Scholar Carr, J. This is a preview of subscription content, log in to check access. In the enormous field of differential equations this is a modest subfield with the particular attraction of having Continuation and Bifurcations: Numerical Techniques and Applications book links with other research fields, in particular the geometric theory of differential equations, numerical analysis, and linear algebra.Numerical Bifurcation Analysis of Maps: From Theory to This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors.

Part II introduces MatContM Author: Iouri Aleksandrovitsj Kouznetsov, Hil Gaétan Ellart Meijer. Appendix C presents numerical methods for detection of higher-order homoclinic bifurcations.

The bibliographical notes in Appendix D include references to standard noninteractive software packages and interactive programs available for continuation and bifurcation analysis of dynamical by: 2. Lectures on Numerical Methods In Bifurcation Problems By H.B.

Keller Lectures delivered at the Indian Institute Of Science, Bangalore under the Programme In Applications Of Mathematics Notes by umaran and Mythily Ramaswamy Published for the Tata Institute Of Fundamental Research Modern continuation methods are.Appendix C presents numerical methods for detection of pdf homoclinic bifurcations.

The bibliographical notes in Appendix D include references to standard noninteractive software packages and interactive programs available for continuation and bifurcation analysis of dynamical by: 2.Finally, using bifurcation analyses and numerical continuation techniques [80][81] [82], we study the effect of ecological and environmental gradients represented by changing model parameters on.Govaerts discusses their use in the numerical methods for Hopf and related bifurcations.

A third ebook is a unified treatment of singularity theory, with and without a distinguished bifurcation parameter, from a numerical point of view. Finally, numerical methods for symmetry-breaking bifurcations are discussed in detail.