Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 20, Issue 3, Pages 1090-1098Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2014.07.004
Keywords
Bursting; FitzHugh-Nagumo equations; Numerical integration of ODEs
Categories
Funding
- IRTG Dynamical Phenomena in Complex Networks'' [1740]
- DFG Research Center MATHEON [D21]
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We present our numerical observations on dynamics in the system of two linearly coupled FitzHugh-Nagumo oscillators close to the destabilization of the state of rest. Under the considered parameter values the system, if integrated sufficiently accurately, converges to small-scale periodic oscillations. However, minor numerical inaccuracies, which occur already at the default precision of the standard Runge-Kutta solver, lead to a breakup of periodicity and an onset of large-scale aperiodic bursting. (C) 2014 Elsevier B.V. All rights reserved.
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