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Cell Mapping Methods

Algorithmic Approaches and Applications

  • Jian-Qiao Sun
  • Fu-Rui Xiong
  • Oliver Schütze
  • Carlos Hernández

Table of contents

  1. Front Matter
    Pages i-xv
  2. Cell Mapping Methods

    1. Front Matter
      Pages 1-1
    2. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 3-9
    3. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 11-27
    4. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 29-43
    5. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 45-56
    6. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 57-71
    7. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 73-78
    8. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 79-82
  3. Applications

    1. Front Matter
      Pages 83-83
    2. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 85-106
    3. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 107-148
    4. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 149-168
    5. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 169-190
    6. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 191-202
    7. Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 203-210
  4. Back Matter
    Pages 211-226

About this book

Introduction

This book presents the latest algorithmic developments in the cell-mapping method for the global analysis of nonlinear dynamic systems, global solutions for multi-objective optimization problems, and global solutions for zeros of complex algebraic equations. It also discusses related engineering and scientific applications, including the nonlinear design of structures for better vibration resistance and reliability; multi-objective, structural-acoustic design for sound abatement; optimal multi-objective design of airfoils for better lift; and optimal multi-objective design of linear and nonlinear controls with or without time delay.

The first book on the subject to include extensive Matlab and C++ codes, it presents various implementation algorithms of the cell-mapping method, enabling readers to understand how the method works and its programming aspects. A link to the codes on the Springer website will be provided to the readers.

Keywords

Cell mapping method Parallel computing Global analysis Nonlinear dynamics Multi-objective optimization Multi-objective optimal control Multi-objective optimal structural design Multi-objective optimal structural-acoustic design Multi-objective optimal airfoil design Zeros of functions Stability boundaries

Authors and affiliations

  • Jian-Qiao Sun
    • 1
  • Fu-Rui Xiong
    • 2
  • Oliver Schütze
    • 3
  • Carlos Hernández
    • 4
  1. 1.School of EngineeringUniversity of California, MercedMercedUSA
  2. 2.Nuclear Power Institute of ChinaChengduChina
  3. 3.Computer Science DepartmentCINVESTAV-IPNMexico CityMexico
  4. 4.Computer Science DepartmentCINVESTAV-IPNMexico CityMexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-0457-6
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-13-0456-9
  • Online ISBN 978-981-13-0457-6
  • Buy this book on publisher's site