Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Learning and energy-entropy dependence in some nonlinear functional-differential systems


Author: Stephen Grossberg
Journal: Bull. Amer. Math. Soc. 75 (1969), 1238-1242
MathSciNet review: 0284674
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Stephen Grossberg, A prediction theory for some nonlinear functional-differential equations. II. Learning of patterns, J. Math. Anal. Appl. 22 (1968), 490–522. MR 0227568 (37 #3152)
  • 2. Stephen Grossberg, A global prediction (or learning) theory for some nonlinear functional-differential equations, Advances in differential and integral equations (Conf. Qualitative Theory of Nonlinear Differential and Integral Equations, Univ. Wisconsin, Madison, Wis., 1968; in memoriam Rudolph E. Langer (1894–1968)), Soc. Indust. Appl. Math., Philadelphia, Pa., 1969, pp. 64–70. Studies in Appl. Math., No. 5. MR 0389252 (52 #10083)
  • 3. S. Grossberg, On learning, information, lateral inhibition and transmitters, Math. Biosci. 4 (1969), 255-310.
  • 4. S. Grossberg, On the production and release of chemical transmitters and related topics in cellular control, J. Theoret. Biol. 22 (1969), 327-364.
  • 5. Stephen Grossberg, A global prediction (or learning) theory for some nonlinear functional-differential equations, Advances in differential and integral equations (Conf. Qualitative Theory of Nonlinear Differential and Integral Equations, Univ. Wisconsin, Madison, Wis., 1968; in memoriam Rudolph E. Langer (1894–1968)), Soc. Indust. Appl. Math., Philadelphia, Pa., 1969, pp. 64–70. Studies in Appl. Math., No. 5. MR 0389252 (52 #10083)
  • 6. Stephen Grossberg, Some networks that can learn, remember, and reproduce any number of complicated space-time patterns. II, Studies in Appl. Math. 49 (1970), 135–166. MR 0281548 (43 #7263b)
  • 7. S. Grossberg, Some physiological and biochemical consequence of psychological postulates, Proc. Nat. Acad. Sci. U.S.A. 60 (1968), 758-765.
  • 8. Stephen Grossberg, On learning and energy-entropy dependence in recurrent and nonrecurrent signed networks, J. Statist. Phys. 1 (1969), 319–350. MR 0266640 (42 #1543)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1969-12373-6
PII: S 0002-9904(1969)12373-6