Nonlinear Stability and Bifurcation Theory : An Introduction for Engineers and Applied Scientists.

Intro -- Nonlinear Stability and Bifurcation Theory -- Copyright -- Preface -- Contents -- Chapter 1 Introduction -- Chapter 2 Representation of systems and definition of stability -- Chapter 3 Reduction process, bifurcation equations -- Chapter 4 Application of the reduction process -- Chapter 5 Bifurcations under symmetries -- Chapter 6 Discussion of the bifurcation equations -- Appendix A Linear spaces and linear operators -- Appendix B Transformation of matrices to diagonal or Jordan form -- Appendix C Adjoint and self-adjoint linear differential operators -- Appendix D Projection operators -- Appendix E Spectral decomposition of the inverse of linear differential operators -- Appendix F Some formulas concerning the shell equations on the complete sphere -- Appendix G Some properties of groups -- Appendix H Stability boundaries in parameter space -- Appendix I Differential equation of an elastic ring -- Appendix J Static shallow shell and plate equations for moderately large deformations -- Appendix K Shell equations for axisymmetric deformations -- Appendix L Equations of motion of a fluid conveying tube -- Appendix M Various concepts of equivalences -- Appendix N Slowly varying parameter -- Appendix O Transformation of dynamical systems into standard form -- Bibliography -- Index.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.