Dynamics and Bifurcations

• I: Dimension One.- 1. Scalar Autonomous Equations.- 2. Elementary Bifurcations.- 3. Scalar Maps.- II: Dimension One and One Half.- 4. Scalar Nonautonomous Equations.- 5. Bifurcation of Periodic Equations.- 6. On Tori and Circles.- III: Dimension Two.- 7. Planar Autonomous Systems.- 8. Linear Systems.- 9. Near Equilibria.- 10. In the Presence of a Zero Eigenvalue.- 11. In the Presence of Purely Imaginary Eigenvalues.- 12. Periodic Orbits.- 13. All Planar Things Considered.- 14- Conservative and Gradient Systems.- 15. Planar Maps.- IV: Higher Dimensions.- 16. Dimension Two and One Half.- 17. Dimension Three.- 18. Dimension Four.- Farewell.- APPENDIX: A Catalogue of Fundamental Theorems.- References.

J.K. Hale, H. Kocak, and H. Buttanri Dynamics and Bifurcations "This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism. A refreshing balance is further achieved by the use of many excellent illustrations and a wealth of worked and unworked examples."-MATHEMATIKA