Phys. Rev. E 72, 016216 (2005) [4 pages]Thresholds of excitability in three-dimensional dynamical systemsReceived 21 January 2005; published 22 July 2005 A two-dimensional threshold surface of an excitable system is found as a set of threshold trajectories calculated step by step in cross sections of the phase space. The method leads to a highly nonlinear boundary value problem that can be solved numerically with the use of adaptive multiple shooting and continuation methods. We demonstrate this technique by examining a model of a biochemical oscillator with two positive feedbacks. Generalization to arbitrary dimension is discussed. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.016216
DOI:
10.1103/PhysRevE.72.016216
PACS:
05.45.−a, 82.20.Wt
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.