Jack K. Hale, Hüseyin Kocak

Dynamics and Bifurcations (eBook, PDF)

Illustrator: Buttanri, H.

• Format: PDF

Produktbeschreibung

The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 574
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461244264
• Artikelnr.: 43992757

Autorenporträt

The authors present the subject of dynamical systems so that it is accessible to undergraduate and beginning graduate students in mathematics or science and engineering. The fundamental ideas of dynamics and bifurcations are explained in a mathematically insightful setting, yet devoid of extensive formalism.

Inhaltsangabe

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.

Rezensionen

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