small differences was the cause of the lack of periodicity. Later, when I presented my
results at the Tokyo meeting, I added a brief description of the unexpected response
of the equations to the round-off errors.” (Lorenz 2005b, pp. 134–135).
References
Bountis Τ (2004) The wonderful world of fractals: a tour in the new science of Chaos and
complexity (Greek language). Leader Books, Athens, Greece
Briggs J, Peat FD (1989) Turbulent mirror: an illustrated guide to Chaos theory and the science of
wholeness. Harper & Row, New York
Bybee RW, Taylor JA, Gardner A, Van Scotter P, Powell JC, Westbrook A, Landes N (2006) The
BSCS 5E instructional model: origins, effectiveness, and applications. BSCS, Colorado Springs
Diacu F (1996) The solution of the n-body problem. Math Intell 18(3):66–70
Duit R, Komorek M (1997) Understanding the basic ideas of Chaos-theory in a study of limited
predictability. Int J Sci Educ 19:247–264
Duit R, Komorek M, Wilbers J (1997) Studies on educational reconstruction of Chaos theory. Res
Sci Educ 27:339–357
Duit R, Roth W-M, Komorek M, Wilbers J (1998) Conceptual change cum discourse analysis to
understand cognition in a unit on chaotic systems: towards an integrative perspective on learning
in science. Int J Sci Educ 20:1059–1073
Gleick J (2008) Chaos: making a new science. Penguin Books, New York
Head B, Wilensky U (2017) NetLogo Chaos in a box model. Center for Connected Learning and
Computer-Based Modeling, Northwestern University, Evanston, IL. http://ccl.northwestern.
edu/netlogo/models/ChaosinaBox
Holland J (2014) Complexity: a very short introduction. Oxford University Press, Oxford
Kaufmann S (1995) At home the universe: the search for the laws of self-organization and
complexity. Oxford University Press, New York
Kellert SH (1994) In the wake of Chaos: unpredictable order in dynamical systems. The University
of Chicago Press, Chicago
Lorenz ΕΝ (1963) Deterministic non-periodic flow. J Atmos Sci 20(2):130–141
Lorenz EN (1969) Three approaches to atmospheric predictability. Bull Am Meteorol Soc
50:345–349
Lorenz EN (2005a) The essence of chaos. University of Washington Press, Seattle
Mandelbrot B (1982) The fractal geometry of nature. W. H. Freeman and Company, Canada
Mitchell M (2009) Complexity: a guided tour. Oxford University Press, New York
PASCO (2017) Chaos experiment. https://www.pasco.com/prodCatalog/EX/EX-5523_chaosexperiment/index.cfm. Accessed 15 Oct 2017
Peitgen H-O, Jürgens H, Saupe D, Maletsky E, Perciante T, Yunker L (1991) Fractals for the
classroom: strategic activities, vol 1. Springer-Verlag, New York
Peitgen H-O, Maletsky EM, Jürgens H, Perciante T, Saupe D, Yunker L (1992) Fractals for the
classroom: strategic activities, vol 2. Springer, New York
Peitgen H-O, Maletsky EM, Jürgens H, Perciante T, Saupe D, Yunker L (1999) Fractals for the
classroom: strategic activities, vol 3. Springer, New York
Peitgen H-O, Jürgens H, Saupe D (2004) Chaos and fractals: new frontiers of science, 2nd edn.
Springer-Verlag, New York
Poincaré H (1948) Science and method. Dover, New York
Poincaré H (2001) The value of science: essential writings of Henri Poincaré. Modern Library
Science, New York
Poincaré H (2017a) Science and hypothesis. CreateSpace Independent Publishing Platform, Scotts
Valley, CA
260
A. Gkiolmas et al.
results at the Tokyo meeting, I added a brief description of the unexpected response
of the equations to the round-off errors.” (Lorenz 2005b, pp. 134–135).
References
Bountis Τ (2004) The wonderful world of fractals: a tour in the new science of Chaos and
complexity (Greek language). Leader Books, Athens, Greece
Briggs J, Peat FD (1989) Turbulent mirror: an illustrated guide to Chaos theory and the science of
wholeness. Harper & Row, New York
Bybee RW, Taylor JA, Gardner A, Van Scotter P, Powell JC, Westbrook A, Landes N (2006) The
BSCS 5E instructional model: origins, effectiveness, and applications. BSCS, Colorado Springs
Diacu F (1996) The solution of the n-body problem. Math Intell 18(3):66–70
Duit R, Komorek M (1997) Understanding the basic ideas of Chaos-theory in a study of limited
predictability. Int J Sci Educ 19:247–264
Duit R, Komorek M, Wilbers J (1997) Studies on educational reconstruction of Chaos theory. Res
Sci Educ 27:339–357
Duit R, Roth W-M, Komorek M, Wilbers J (1998) Conceptual change cum discourse analysis to
understand cognition in a unit on chaotic systems: towards an integrative perspective on learning
in science. Int J Sci Educ 20:1059–1073
Gleick J (2008) Chaos: making a new science. Penguin Books, New York
Head B, Wilensky U (2017) NetLogo Chaos in a box model. Center for Connected Learning and
Computer-Based Modeling, Northwestern University, Evanston, IL. http://ccl.northwestern.
edu/netlogo/models/ChaosinaBox
Holland J (2014) Complexity: a very short introduction. Oxford University Press, Oxford
Kaufmann S (1995) At home the universe: the search for the laws of self-organization and
complexity. Oxford University Press, New York
Kellert SH (1994) In the wake of Chaos: unpredictable order in dynamical systems. The University
of Chicago Press, Chicago
Lorenz ΕΝ (1963) Deterministic non-periodic flow. J Atmos Sci 20(2):130–141
Lorenz EN (1969) Three approaches to atmospheric predictability. Bull Am Meteorol Soc
50:345–349
Lorenz EN (2005a) The essence of chaos. University of Washington Press, Seattle
Mandelbrot B (1982) The fractal geometry of nature. W. H. Freeman and Company, Canada
Mitchell M (2009) Complexity: a guided tour. Oxford University Press, New York
PASCO (2017) Chaos experiment. https://www.pasco.com/prodCatalog/EX/EX-5523_chaosexperiment/index.cfm. Accessed 15 Oct 2017
Peitgen H-O, Jürgens H, Saupe D, Maletsky E, Perciante T, Yunker L (1991) Fractals for the
classroom: strategic activities, vol 1. Springer-Verlag, New York
Peitgen H-O, Maletsky EM, Jürgens H, Perciante T, Saupe D, Yunker L (1992) Fractals for the
classroom: strategic activities, vol 2. Springer, New York
Peitgen H-O, Maletsky EM, Jürgens H, Perciante T, Saupe D, Yunker L (1999) Fractals for the
classroom: strategic activities, vol 3. Springer, New York
Peitgen H-O, Jürgens H, Saupe D (2004) Chaos and fractals: new frontiers of science, 2nd edn.
Springer-Verlag, New York
Poincaré H (1948) Science and method. Dover, New York
Poincaré H (2001) The value of science: essential writings of Henri Poincaré. Modern Library
Science, New York
Poincaré H (2017a) Science and hypothesis. CreateSpace Independent Publishing Platform, Scotts
Valley, CA
260
A. Gkiolmas et al.