Search results for Computational Science

7 - MATCONTM Tutorials
from Part Two - Software
Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands, Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
Book:

Numerical Bifurcation Analysis of Maps

Published online:

15 March 2019

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28 March 2019, pp 258-318
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2 - One-Parameter Bifurcations of Maps
from Part One - Theory
Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands, Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
Book:

Numerical Bifurcation Analysis of Maps

Published online:

15 March 2019

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28 March 2019, pp 30-49
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Index
Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands, Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
Book:

Numerical Bifurcation Analysis of Maps

Published online:

15 March 2019

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28 March 2019, pp 400-408
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8 - The Generalized Hénon Map
from Part Three - APPLICATIONS
Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands, Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
Book:

Numerical Bifurcation Analysis of Maps

Published online:

15 March 2019

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28 March 2019, pp 321-353
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9 - Adaptive Control Map
from Part Three - APPLICATIONS
Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands, Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
Book:

Numerical Bifurcation Analysis of Maps

Published online:

15 March 2019

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28 March 2019, pp 354-361
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Numerical Bifurcation Analysis of Maps

From Theory to Software
Yuri A. Kuznetsov, Hil G. E. Meijer
Published online:

15 March 2019

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28 March 2019
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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. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.

4 - Regression and Model Selection
from Part II - Machine Learning and Data Analysis
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 117-153
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5 - Clustering and Classification
from Part II - Machine Learning and Data Analysis
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 154-194
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Part IV - Reduced Order Models
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 373-374
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Frontmatter
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp i-iv
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11 - Reduced Order Models (ROMs)
from Part IV - Reduced Order Models
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 375-402
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Glossary
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 436-442
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12 - Interpolation for Parametric ROMs
from Part IV - Reduced Order Models
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 403-435
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Part III - Dynamics and Control
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 227-228
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Index
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 471-472
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3 - Sparsity and Compressed Sensing
from Part I - Dimensionality Reduction and Transforms
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 84-114
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7 - Data-Driven Dynamical Systems
from Part III - Dynamics and Control
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 229-275
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10 - Data-Driven Control
from Part III - Dynamics and Control
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 345-372
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Bibliography
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp 443-470
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Preface
Steven L. Brunton, University of Washington, J. Nathan Kutz, University of Washington
Book:

Data-Driven Science and Engineering

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15 February 2019

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28 February 2019, pp ix-xii
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2540 results in Computational Science

7 - MATCONTM Tutorials

2 - One-Parameter Bifurcations of Maps

Index

8 - The Generalized Hénon Map

9 - Adaptive Control Map

Numerical Bifurcation Analysis of Maps

4 - Regression and Model Selection

5 - Clustering and Classification

Part IV - Reduced Order Models

Frontmatter

11 - Reduced Order Models (ROMs)

Glossary

12 - Interpolation for Parametric ROMs

Part III - Dynamics and Control

Index

3 - Sparsity and Compressed Sensing

7 - Data-Driven Dynamical Systems

10 - Data-Driven Control

Bibliography

Preface

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2540 results in Computational Science

Numerical Bifurcation Analysis of Maps