Date of download: 7/28/2017
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From: Time Delay Control for Two van der Pol Oscillators
J. Comput. Nonlinear Dynam. 2010;6(1):011016-011016-7. doi:10.1115/1.4002390
Figure Legend:
(a) Stability chart in the plane (α,ρ) for the nonlinear model systems with the parameter values C=0.06, D=1.0, E=0.78, F=0.01,
σ=−0.04, Ω=1, and T=π/4. Note that A and B are not constant because for a specific value in the plane (α,ρ), A and B are calculated
from Eqs. . The phase varies from 0 to 2π and the response from 0 to 0.4. White (black) regions stand for stable (unstable) solutions.
Note that A and B are different. (b) The prevision of our method for the stability chart in the plane (X0,X•0=V0) for the van der Pol
system with the parameter values C=0.06, D=1.0, E=0.78, F=0.01, σ=−0.04, Ω=1, and T=π/4. Note that A and B are not constant
because for a specific value in the plane (α,ρ), A and B are calculated from Eqs. . X0 and V0 vary from −0.8 to 0.8. White (black)
regions stand for stable (unstable) solutions. (c) The result of numerical integration by the Runge–Kutta–Fehlberg method for the
stability chart in the plane (X0,Ẋ0=V0) for the van der Pol system with the parameter values C=0.06, D=1.0, E=0.78, F=0.01, σ=−0.04,