Rössler, O.E.: Adequate locomotion strategies for an abstract organism in an abstract environment: a relational approach to brain function. In: Physics and Mathematics of the Nervous System (M. Conrad, W. Guttinger and M. DalCin, eds.), Lecture Notes in Biomathematics, vol. 4, pp. 342–369. Springer, New York (1974)


Abstract /chapter: The Brain Equation

The brain equation is a solution to the “second survival problem.” The latter is called “positional adaptation.” It unlike Darwin’s first (“metabolic adaptation”) is history-independent. As such it is mathematically well posed. The equation applies to all life forms in the cosmos that live in a structured environment in which survival depends on position in space in a short-term fashion. An eusocial version does not exist. The equation solves, in conjunction with the necessarily attached VR machine, the famous NP-complete “decision-type travelling salesman problem” for finite times. The resulting autonomous optimizer with cognition is susceptible to a “function change” in the sense of Bob Rosen which so far is known empirically only from the human brain.

Cite this chapter as:
Rössler O.E. (2014) The Brain Equation. In: Sanayei A., Zelinka I., Rössler O. (eds) ISCS 2013: Interdisciplinary Symposium on Complex Systems. Emergence, Complexity and Computation, vol 8. Springer, Berlin, Heidelberg