253
Views
4
CrossRef citations to date
0
Altmetric
Chaos theory

Chaos—the origins and relevance of a new discipline

Pages 23-32 | Published online: 17 Feb 2012

References

  • Gleick , James . 1988 . Chaos: Making a New Science , London : Heinemann .
  • Mandelbrot , B B . 1983 . The Fractal Geometry of Nature , New York : W H Freeman .
  • Peitgen , H and Richter , P H . 1986 . The Beauty of Fractals , New York : SpringerVerlag .
  • Tritton , D . 1986 . “Chaos in the swing of a pendulum,” . New Scientist , 24 July : 37 – 40 .
  • December 1979 . EN Lorenz from his address to the annual meeting of the American Asociation for the Advancement of Science December , Washington
  • Feigenbaum , M J . 1979 . “The universal metric properties of nonlinear transformations” . Journal of Statistical Physics , 21 : 669 – 706 .
  • Feigenbaum , M J . 1980 . “Universal behaviour in nonlinear systems” . Los Alamos Science , 1 : 4 – 27 .
  • Lorenz , E N . 1963 . “Deterministic nonperiodic flow” . Journal of Atmospheric Science , 20 : 130 – 141 .
  • Takayasu , H . 1990 . Fractals in the Physical Sciences , Manchester : Manchester University Press . See for example
  • Stewart , I . 1990 . Does God Play Dice? The New Mathematics of Chaos , 161 Harmondsworth : Penguin . See for example
  • Radzicki , M J . 1990 . “Institutional dynamics, deterministic chaos, and self-organizing systems” . Journal of Economic Issues , XXIV ( 1 ) March : 57 – 102 .
  • May , R . 1976 . “Simple mathematical models with very complicated dynamics” . Nature , 261 : 459 – 467 .
  • Superstein , A M . 1984 . “Chaos—a model for the outbreak of war” . Nature , 309 : 303 – 305 .
  • Sterman , J D . 1989 . “Deterministic chaos in an experimental economic system” . Journal of Economic Behaviour and Organization , 12 Aug : 1 – 28 .
  • Scheinkman , J A . 1990 . “Nonlinearities in economic dynamics” . The Economic Journal , 100 ( 400 ) : 33 – 48 . Conference
  • Nusse , H E and Hommes , C H . 1990 . “Resolution of chaos with application to a modified Samuelson Model” . Journal of Economic Dynamics and Control , 14 ( 1 ) February : 1 – 19 .
  • Ashley , R A and Patterson , D M . 1989 . “Linear versus nonlinear macroeconomics: a statistical test” . International Economic Review , 30 ( 3 ) August : 685 – 704 .
  • Scheinkman , J A and LeBaron , B . 1989 . “Nonlinear dynamics and stock returns” . Journal of Business (Graduate School of Business, University of Chicago) , 62 ( 3 ) July : 311 – 337 .
  • Ottino , J M . 1989 . “The mixing of fluids” . Scientific American , January : 40 – 49 .
  • May , R . 1989 . “The chaotic rhythms of life” . New Scientist , 18 November : 37 – 41 .
  • Gollub , J P and Swinney , H L . 1975 . Onset of turbulence in a rotating fluid” . Physics Review Letters , 35 : 927 – 930 .
  • Kaye , B . 1989 . A Random Walk Through Fractal Dimensions , Weinheim : VCH . See for example
  • Routh , G . 1989 . “Economics and chaos” . Challenge, Magazine of Economic Affairs , 32 ( 4 ) July/Aug : 47 – 52 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.