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[4] To Learn More


[4.1] What should I read to learn more?

  1. Gleick, J. (1987). Chaos, the Making of a New Science.
    London, Heinemann. http://www.around.com/chaos.html
  2. Stewart, I. (1989). Does God Play Dice? Cambridge, Blackwell.
    http://www.amazon.com/exec/obidos/ASIN/1557861064
  3. Devaney, R. L. (1990). Chaos, Fractals, and Dynamics: Computer
    Experiments in Mathematics. Menlo Park, Addison-Wesley
    http://www.amazon.com/exec/obidos/ASIN/1878310097
  4. Lorenz, E., (1994) The Essence of Chaos, Univ. of Washington Press.
    http://www.amazon.com/exec/obidos/ASIN/0295975148
  5. Schroeder, M. (1991) Fractals, Chaos, Power: Minutes from an infinite paradise
    W. H. Freeman New York:
  1. Abraham, R. H. and C. D. Shaw (1992) Dynamics: The Geometry of
    Behavior, 2nd ed. Redwood City, Addison-Wesley.
  2. Baker, G. L. and J. P. Gollub (1990). Chaotic Dynamics.
    Cambridge, Cambridge Univ. Press.
    http://www.cup.org/titles/catalogue.asp?isbn=0521471060
  3. Devaney, R. L. (1986). An Introduction to Chaotic Dynamical
    Systems. Menlo Park, Benjamin/Cummings.
    http://math.bu.edu/people/bob/books.html
  4. Kaplan, D. and L. Glass (1995). Understanding Nonlinear Dynamics,
    Springer-Verlag New York. http://www.cnd.mcgill.ca/books_understanding.html
  5. Glendinning, P. (1994). Stability, Instability and Chaos.
    Cambridge, Cambridge Univ Press.
    http://www.cup.org/Titles/415/0521415535.html
  6. Jurgens, H., H.-O. Peitgen, et al. (1993). Chaos and Fractals: New
    Frontiers of Science. New York, Springer Verlag.
    http://www.springer-ny.com/detail.tpl?isbn=0387979034
  7. Moon, F. C. (1992). Chaotic and Fractal Dynamics. New York, John Wiley.
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471545716.html
  8. Percival, I. C. and D. Richard (1982). Introduction to Dynamics. Cambridge,
    Cambridge Univ. Press. http://www.cup.org/titles/catalogue.asp?isbn=0521281490
  9. Scott, A. (1999). NONLINEAR SCIENCE: Emergence and Dynamics of
    Coherent Structures, Oxford http://www4.oup.co.uk/isbn/0-19-850107-2
    http://www.imm.dtu.dk/documents/users/acs/BOOK1.html
  10. Smith, P (1998) Explaining Chaos, Cambridge
    http://us.cambridge.org/titles/catalogue.asp?isbn=0521477476
  11. Strogatz, S. (1994). Nonlinear Dynamics and Chaos. Reading,
    Addison-Wesley
    http://www.perseusbooksgroup.com/perseus-cgi-bin/display/0-7382-0453-6
  12. Thompson, J. M. T. and H. B. Stewart (1986) Nonlinear Dynamics and
    Chaos. Chichester, John Wiley and Sons.
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471876844.html
  13. Tufillaro, N., T. Abbott, et al. (1992). An Experimental Approach
    to Nonlinear Dynamics and Chaos. Redwood City, Addison-Wesley.
    http://www.amazon.com/exec/obidos/ASIN/0201554410/
  14. Turcotte, Donald L. (1992). Fractals and Chaos in Geology and
    Geophysics, Cambridge Univ. Press.
    http://www.cup.org/titles/catalogue.asp?isbn=0521567335
  1. May, R. M. (1986). "When Two and Two Do Not Make Four."
    Proc. Royal Soc. B228: 241.
  2. Berry, M. V. (1981). "Regularity and Chaos in Classical Mechanics,
    Illustrated by Three Deformations of a Circular Billiard."
    Eur. J. Phys. 2: 91-102.
  3. Crawford, J. D. (1991). "Introduction to Bifurcation Theory."
    Reviews of Modern Physics 63(4): 991-1038.
  4. Shinbrot, T., C. Grebogi, et al. (1992). "Chaos in a Double Pendulum."
    Am. J. Phys 60: 491-499.
  5. David Ruelle. (1980). "Strange Attractors,"
    The Mathematical Intelligencer 2: 126-37.
  1. Arnold, V. I. (1978). Mathematical Methods of Classical Mechanics.
    New York, Springer.
    http://www.springer-ny.com/detail.tpl?isbn=038796890
  2. Arrowsmith, D. K. and C. M. Place (1990), An Introduction to Dynamical Systems.
    Cambridge, Cambridge University Press.
    http://us.cambridge.org/titles/catalogue.asp?isbn=0521316502
  3. Guckenheimer, J. and P. Holmes (1983), Nonlinear Oscillations, Dynamical
    Systems, and Bifurcation of Vector Fields, Springer-Verlag New York.
  4. Kantz, H., and T. Schreiber (1997). Nonlinear time series analysis.
    Cambridge, Cambridge University Press
    http://www.mpipks-dresden.mpg.de/~schreibe/myrefs/book.html
  5. Katok, A. and B. Hasselblatt (1995), Introduction to the Modern
    Theory of Dynamical Systems, Cambridge, Cambridge Univ. Press.
    http://titles.cambridge.org/catalogue.asp?isbn=0521575575
  6. Hilborn, R. (1994), Chaos and Nonlinear Dyanamics: an Introduction for
    Scientists and Engineers, Oxford Univesity Press.
    http://www4.oup.co.uk/isbn/0-19-850723-2
  7. Lichtenberg, A.J. and M. A. Lieberman (1983), Regular and Chaotic Motion,
    Springer-Verlag, New York .
  8. Lind, D. and Marcus, B. (1995) An Introduction to Symbolic Dynamics and Coding,
    Cambridge University Press, Cambridge http://www.math.washington.edu/SymbolicDynamics/
  9. MacKay, R.S and J.D. Meiss (eds) (1987), Hamiltonian Dynamical Systems A reprint
    selection, , Adam Hilger, Bristol
  10. Nayfeh, A.H. and B. Balachandran (1995), Applied Nonlinear Dynamics:
    Analytical, Computational and Experimental Methods
    John Wiley& Sons Inc., New York
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471593486.html
  11. Ott, E. (1993). Chaos in Dynamical Systems. Cambridge University Press,
    Cambridge. http://us.cambridge.org/titles/catalogue.asp?isbn=0521010845
  12. L.E. Reichl, (1992), The Transition to Chaos, in Conservative and Classical Systems:
    Quantum Manifestations Springer-Verlag, New York
  13. Robinson, C. (1999), Dynamical Systems: Stability, Symbolic
    Dynamics, and Chaos, 2nd Edition, Boca Raton, CRC Press.
    http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=8495
  14. Ruelle, D. (1989), Elements of Differentiable Dynamics and Bifurcation Theory,
    Academic Press Inc.
  15. Tabor, M. (1989), Chaos and Integrability in Nonlinear Dynamics:
    an Introduction, Wiley, New York.
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471827282.html
  16. Wiggins, S. (1990), Introduction to Applied Nonlinear Dynamical Systems and Chaos,
    Springer-Verlag New York.
  17. Wiggins, S. (1988), Global Bifurcations and Chaos, Springer-Verlag New York.


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[4.2] What technical journals have nonlinear science articles?

Physica D                    The premier journal in Applied Nonlinear Dynamics
Nonlinearity                 Good mix, with a mathematical bias
Chaos                        AIP Journal, with a good physical bent
SIAM J. of Dynamical Systems Online Journal with multimedia
                              http://www.siam.org/journals/siads/siads.htm
Chaos Solitons and Fractals  Low quality, some good applications
Communications in Math Phys  an occasional paper on dynamics
Comm. in Nonlinear Sci.      New Elsevier journal
     and Num. Sim.              http://www.elsevier.com/locate/cnsns
Ergodic Theory and           Rigorous mathematics, and careful work
      Dynamical Systems
International J of           lots of color pictures, variable quality.
    Bifurcation and Chaos
J Differential Equations     A premier journal, but very mathematical
J Dynamics and Diff. Eq.     Good, more focused version of the above
J Dynamics and Stability     Focused on Eng. applications. New editorial
      of Systems              board--stay tuned.
J Fluid Mechanics            Some expt. papers, e.g. transition to turbulence
J Nonlinear Science          a newer journal--haven't read enough yet.
J Statistical Physics        Used to contain seminal dynamical systems papers
Nonlinear Dynamics           Haven't read enough to form an opinion
Nonlinear Science Today      Weekly News: http://www.springer-ny.com/nst/
Nonlinear Processes in       New, variable quality...may be improving
    Geophysics
Physics Letters A            Has a good nonlinear science section
Physical Review E            Lots of Physics articles with nonlinear emphasis
Regular and Chaotic Dynamics Russian Journal 
http://web.uni.udm.ru/~rcd/


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[4.3] What are net sites for nonlinear science materials?


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