Title: Dynamics and Bifurcations Authors: (view affiliations) Jack K. Hale, Hüseyin Koçak Part of the book series: Texts in Applied Mathematics (TAM, volume 3) Publisher: Springer Verlag Contents 1D Front Matter Pages 1-2 Scalar Autonomous Equations Pages 3-23 Elementary Bifurcations Pages 25-65 Scalar Maps Pages 67-104 1 1/2 D Front Matter Pages 105-106 Scalar Nonautonomous Equations Pages 107-132 Bifurcations of Periodic Equations Pages 133-146 On Tori and Circles Pages 147-166 2D Front Matter Pages 167-168 Planar Autonomous Systems Pages 169-215 Linear Systems Pages 217-264 Near Equilibria Pages 265-305 In the Presence of a Zero Eigenvalue Pages 307-332 In the Presence of Purely Imaginary Eigenvalues Pages 333-363 Periodic Orbits Pages 365-388 All Planar Things Considered Pages 389-411 Conservative and Gradient Systems Pages 413-441 Planar Maps Pages 443-494 2 1/2 + D Front Matter Pages 495-496 2 1/2 + D Dimension Two and One Half Pages 497-509 Dimension Three Pages 511-522 Dimension Four Pages 523-535 Back Matter Pages 537-571 The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and exp