Dynamical Concepts Used in Creativity and Chaos

Basic dynamical concepts relevant to human creativity include those of stability, instability, bifurcations, and self-organization. Here we present the view that most creative bifurcations are from chaotic to chaotic attractors, and that such bifurcation are macro-bifurcations comprised of a cascade of micro-bifurcations whether in continuous dynamics or network-style models. These typically are thus smeared in time and state-space. We suggest that the misunderstood phrase “edge of chaos” could be used for such a liberalized concept. NeuroQuantology | June 2012 | Volume 10 | Issue 2 | Page 177-182

[1]  S. Krippner,et al.  Creativity and Chaos in Waking and Dreaming States , 2012 .

[2]  R. Richards,et al.  Everyday Creativity and New Views of Human Nature: Psychological, Social and Spiritual Perspectives , 2007 .

[3]  Christopher G. Langton,et al.  Computation at the edge of chaos: Phase transitions and emergent computation , 1990 .

[4]  Frederick David Abraham.  THE DYNAMICS OF CREATIVITY & THE COURAGE TO BE , 1996 .

[5]  Stephen Wolfram,et al.  Universality and complexity in cellular automata , 1983 .

[6]  Michael F. Shlesinger,et al.  Dynamic patterns in complex systems , 1988 .

[7]  Jonathan E. Butner,et al.  Fearless-Evolution on Boolean Landscapes: Boolean Phase Portraits Reveal a New Navigation Strategy Based on Fearful Symmetry , 2010 .

[8]  James P. Crutchfield,et al.  Dynamics, computation, and the “edge of chaos”: a re-examination , 1993, adap-org/9306003.

[9]  Y. Ueda.  EXPLOSION OF STRANGE ATTRACTORS EXHIBITED BY DUFFING'S EQUATION , 1979 .

[10]  R. Abraham,et al.  Dynamics--the geometry of behavior , 1983 .

[11]  Vito Volterra,et al.  Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .

[12]  Donald O. Walter,et al.  Self-Organizing Systems , 1987, Life Science Monographs.

[13]  Albert Goldbeter,et al.  Analysis of the dynamics of a family system in terms of bifurcations , 1987 .

[14]  Harold H. Anderson,et al.  Creativity and Its Cultivation , 1961 .

[15]  Melanie Mitchell,et al.  Complexity - A Guided Tour , 2009 .

[16]  S. Kauffman.  At Home in the Universe: The Search for the Laws of Self-Organization and Complexity , 1995 .

[17]  T. Malloy,et al.  Dynamic constancy as a basis for perceptual hierarchies. , 2008, Nonlinear dynamics, psychology, and life sciences.

[18]  A. J. Lotka.  Elements of Physical Biology. , 1925, Nature.