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Network stabilization on unstable manifolds: Computing with middle layer transients

Published online by Cambridge University Press:  15 November 2002

Arnold J. Mandell  and
Karen A. Selz
Arnold J. Mandell
Affiliation:
Cielo Institute, Asheville, NC, Psychiatry and Behavioral Science, Emory University Medical School, Atlanta, GA, and Department of Mathematical Sciences and Physics, Florida Atlantic University, Boca Raton, FL [email protected]
Karen A. Selz
Affiliation:
Cielo Institute, Asheville, NC, Psychiatry and Behavioral Science, Emory University Medical School, Atlanta, GA, and Department of Mathematical Sciences and Physics, Florida Atlantic University, Boca Raton, FL [email protected]
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Abstract

Studies have failed to yield definitive evidence for the existence and/or role of well-defined chaotic attractors in real brain systems. Tsuda's transients stabilized on unstable manifolds of unstable fixed points using mechanisms similar to Ott's algorithmic “control of chaos” are demonstrable. Grebogi's order in preserving “strange nonchaotic” attractor with fractal dimension but Lyapounov is suggested for neural network tasks dependent on sequence.

Type
Brief Report
Information
Behavioral and Brain Sciences , Volume 24 , Issue 5 , October 2001 , pp. 822 - 823
Copyright
© 2001 Cambridge University Press

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