Journal
NEURAL COMPUTATION
Volume 24, Issue 12, Pages 3111-3125Publisher
MIT PRESS
DOI: 10.1162/NECO_a_00370
Keywords
-
Funding
- Natural Sciences Engineering and Research Council (Canada)
- National Science Foundation (USA)
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1219753] Funding Source: National Science Foundation
Ask authors/readers for more resources
We introduce a simple two-dimensional model that extends the Poincare oscillator so that the attracting limit cycle undergoes a saddle node bifurcation on an invariant circle (SNIC) for certain parameter values. Arbitrarily close to this bifurcation, the phase-resetting curve (PRC) continuously depends on parameters, where its shape can be not only primarily positive or primarily negative but also nearly sinusoidal. This example system shows that one must be careful inferring anything about the bifurcation structure of the oscillator from the shape of its PRC.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available