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Book Review

Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity

by Saber Elaydi, Independent, 2023, 166pp., US$21.00 (paperback), Kindle $9.00, ISBN-13: 979-8859033805

References

  • A. Bousquet, The Scientific Way of Warfare Order and Chaos on the Battlefields of Modernity, Hurst, London, 2022.
  • S. Elaydi, Is the world evolving discretely?, Adv. Appl. Math. 31 (2003), pp. 1–9.
  • S. Elaydi, Discrete Chaos: With Applications in Science and Engineering, Chapman and Hall/CRC, Boca Raton, 2007.
  • J. Horgan, The End of Science Facing the Limits of Knowledge in the Twilight of the Scientific Age, Helix Books, Addison Wesley, Boston, 1996.
  • R. Lozi, M.-S. Abdelouahab, and G. Chen, Mixed-mode oscillations based on complex canard explosion in a fractional-order Fitzhugh–Nagumo model, Appl. Math. Nonlinear Sci. 5(2) (2020), pp. 239–256.
  • R. Lozi, V. Belykh, J.M. Cushing, L. Efremova, S. Elaydi, L. Gardini, M. Misiurewicz, E. Schöll, and G. Strelkova, The paths of nine mathematicians to the realm of dynamical systems, J. Differ. Equ. Appl. 30 (2024). https://doi.org/10.1080/10236198.2024.2314411.
  • J.-J. Rousseau, Oeuvres Complètes, XI, écrits sur la botanique, (dir. Raymond Trousson, Frédéric S. Eigeldinger), Éditions Champion, Paris, 2012.
  • D. Ruelle, Strange attractors (translated from French attracteurs étranges, La Recherche, 108, (1980)). Available at https://people.math.harvard.edu/knill/teaching/mathe320_2014/blog/RuelleIntelligencer.pdf.
  • R. Thom, Conclusions, in Logos et théorie des catastrophes à partir de l'oeuvre de René Thom (Actes du colloque international de 1982), J. Petitot, ed., Patino, Paris, 1988, p. 513.
  • Y. Ueda, R.H. Abraham, and H.B. Stewart, The Road to Chaos (7. Strange attractors and the origin of chaos) (1992). Available at Kyoto University Research information Repository, https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/71101.
  • E.C. Zeeman, Catastrophe theory, Sci. Am. 234(4) (1976), pp. 65–83.

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