Practical bifurcation and stability analysis
Material type: TextSeries: Interdisciplinary applied mathematics ; 5.Publication details: New York : Springer, c2010.Edition: 3rd edDescription: xvii, 483 p. : ill. ; 24 cmISBN:- 9781441917393
- QA380 .S49 2010
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
Books | IIITD Reference | Mathematics | REF 515.35 SEY-P (Browse shelf(Opens below)) | Available | 001010 |
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REF 515.35 BEN-A Advanced mathematical methods for scientists and engineers : | REF 515.35 BOY-E Elementary differential equations and boundary value problems | REF 515.35 HAL-D Dynamics and bifurcations | REF 515.35 SEY-P Practical bifurcation and stability analysis | REF 515.352 COD-L Linear ordinary differential equations | REF 515.352 DEV-I An introduction to chaotic dynamical systems | REF 515.352 ERM-S Simulating, analyzing, and animating dynamical systems : |
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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