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Practical bifurcation and stability analysis

By: Material type: TextTextSeries: Interdisciplinary applied mathematics ; 5.Publication details: New York : Springer, c2010.Edition: 3rd edDescription: xvii, 483 p. : ill. ; 24 cmISBN:
  • 9781441917393
Subject(s): LOC classification:
  • QA380 .S49 2010
Contents:
Introduction and prerequisites -- Basic nonlinear phenomena -- Applications and extensions -- Principles of continuation -- Calculation of the branching behavior of nonlinear equations -- Calculating branching behavior of boundary-value problems -- Stability of periodic solutions -- Qualitative instruments -- Chaos -- Appendix A : Some basic glossary -- Appendix B : Some basic facts from linear algebra -- Appendix C : Some elementary facts form ODEs -- Appendix D : Implicit function theorem -- Appendix E : Special invariant manifolds -- Appendix F : Numerical integration of ODEs -- Appendix G : Symmetric groups -- Appendix H : Proof of theorem 5.8 -- Appendix I : Numerical software and packages.
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Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD Reference Mathematics REF 515.35 SEY-P (Browse shelf(Opens below)) Available 001010
Total holds: 0

Includes bibliographical references (p. [441]-471) and index..

Introduction and prerequisites -- Basic nonlinear phenomena -- Applications and extensions -- Principles of continuation -- Calculation of the branching behavior of nonlinear equations -- Calculating branching behavior of boundary-value problems -- Stability of periodic solutions -- Qualitative instruments -- Chaos -- Appendix A : Some basic glossary -- Appendix B : Some basic facts from linear algebra -- Appendix C : Some elementary facts form ODEs -- Appendix D : Implicit function theorem -- Appendix E : Special invariant manifolds -- Appendix F : Numerical integration of ODEs -- Appendix G : Symmetric groups -- Appendix H : Proof of theorem 5.8 -- Appendix I : Numerical software and packages.

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