A geometric approach to singular perturbation problems with applications to nerve impulse equations

Author(s): Grossberg, S. |

Year: 1977

Citation: Journal of Differential Equations, 23, 335-367.

Abstract: This paper develops a geometric approach to singular perturbation problems. Results are used to study a general model of a biological process (e.g., nerve impulse, heartbeat, muscle contraction) consisting of a differential equations couple with l slow and m fast equations. The slow (fast) equations correspond to subprocesses whose rates are slow (fast) relative to the rate of the primary phenomenon.



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