Chaos / / ed. by Arun V. Holden.

• Superior document: Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
• MitwirkendeR: Aihara, K.,; Belair, Jacques,; Conrad, M.,; Firth, W. J.,; Glass, Leon,; Grassberger, P.,; Holden, A.V.,; Kot, M.,; Lauwerier, H. A.,; Matsumoto, G.,; Mees, A.,; Muhamad, M.A.,; Rapp, P. E.,; Rossler, O. E.,; Schaffer, W. M.,; Shrier, Alvin,; Sparrow, C.,; Tomita, K.,; Wolf, A.,
• HerausgeberIn: Holden, Arun V.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2014]; ©1986
• Year of Publication: 2014
• Edition: Course Book
• Language: English
• Series: Princeton Legacy Library ; 461
• Physical Description: 1 online resource (334 p.)

This volume sets out the basic applied mathematical and numerical methods of chaotic dynamics and illustrates the wide range of phenomena, inside and outside the laboratory, that can be treated as chaotic processes.Originally published in 1986.The Princeton Legacy Library uses the latest print-on-de...

Table of Contents

• Frontmatter
• Contents
• Acknowledgements
• Part I. Prologue
• 1. What is the use of chaos?
• 2. A graphical zoo of strange and peculiar attractors
• Part II. Iterations
• 3. One-dimensional iterative maps
• 4. Two-dimensional iterative maps
• Part III. Endogenous chaos
• 5. Chaos in feedback systems
• 6. The Lorenz equations
• 7. Instabilities and chaos in lasers and optical resonators
• 8. Differential systems in ecology and epidemiology
• 9. Oscillations and chaos in cellular metabolism and physiological systems
• Part IV. Forced chaos
• 10. Periodically forced nonlinear oscillators
• 11. Chaotic cardiac rhythms
• 12. Chaotic oscillations and bifurcations in squid giant axons
• Part V. Measuring chaos
• 13. Quantifying chaos with Lyapunov exponents
• 14. Estimating the fractal dimensions and entropies of strange attractors
• Part VI. Epilogue
• 15. How chaotic is the universe?
• Index