Elementary Stability and Bifurcation Theory

Front Matter....Pages i-xv
Introduction....Pages 1-3
Equilibrium Solutions of Evolution Problems....Pages 4-12
Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension....Pages 13-31
Imperfection Theory and Isolated Solutions Which Perturb Bifurcation....Pages 32-44
Stability of Steady Solutions of Evolution Equations in Two Dimensions and n Dimensions....Pages 45-61
Bifurcation of Steady Solutions in Two Dimensions and the Stability of the Bifurcating Solutions....Pages 62-85
Methods of Projection for General Problems of Bifurcation into Steady Solutions....Pages 86-122
Bifurcation of Periodic Solutions from Steady Ones (Hopf Bifurcation) in Two Dimensions....Pages 123-138
Bifurcation of Periodic Solutions in the General Case....Pages 139-156
Subharmonic Bifurcation of Forced T -Periodic Solutions....Pages 157-185
Bifurcation of Forced T -Periodic Solutions into Asymptotically Quasi-Periodic Solutions....Pages 186-242
Secondary Subharmonic and Asymptotically Quasi-Periodic Bifurcation of Periodic Solutions (of Hopf’s Type) in the Autonomous Case....Pages 243-280
Back Matter....Pages 281-286