from tvb.simulator.models.base import Model, ModelNumbaDfun
import numpy
from numpy import *
from numba import guvectorize, float64
from tvb.basic.neotraits.api import NArray, Final, List, Range
[docs]class MontbrioT(ModelNumbaDfun):
tau = NArray(
label=":math:`tau`",
default=numpy.array([1.0]),
domain=Range(lo=-10.0, hi=10.0, step=0.01),
doc=""""""
)
I = NArray(
label=":math:`I`",
default=numpy.array([0.0]),
domain=Range(lo=-10.0, hi=10.0, step=0.01),
doc=""""""
)
Delta = NArray(
label=":math:`Delta`",
default=numpy.array([0.7]),
domain=Range(lo=0.0, hi=10.0, step=0.01),
doc=""""""
)
J = NArray(
label=":math:`J`",
default=numpy.array([14.5]),
domain=Range(lo=-25.0, hi=25.0, step=0.0001),
doc=""""""
)
eta = NArray(
label=":math:`eta`",
default=numpy.array([-4.6]),
domain=Range(lo=-10.0, hi=10.0, step=0.0001),
doc=""""""
)
Gamma = NArray(
label=":math:`Gamma`",
default=numpy.array([5.0]),
domain=Range(lo=0., hi=10.0, step=0.1),
doc=""""""
)
cr = NArray(
label=":math:`cr`",
default=numpy.array([1.0]),
domain=Range(lo=0., hi=1, step=0.1),
doc=""""""
)
cv = NArray(
label=":math:`cv`",
default=numpy.array([1.0]),
domain=Range(lo=0., hi=1, step=0.1),
doc=""""""
)
state_variable_range = Final(
label="State Variable ranges [lo, hi]",
default={"r": numpy.array([0.0, -2.0]),
"V": numpy.array([-2.0, 1.5])},
doc="""state variables"""
)
state_variable_boundaries = Final(
label="State Variable boundaries [lo, hi]",
default={"r": numpy.array([0.0, inf]),
},
)
variables_of_interest = List(
of=str,
label="Variables or quantities available to Monitors",
choices=('r', 'V', ),
default=('r', 'V', ),
doc="Variables to monitor"
)
state_variables = ['r', 'V']
_nvar = 2
cvar = numpy.array([0,1,], dtype = numpy.int32)
[docs] def dfun(self, vw, c, local_coupling=0.0):
vw_ = vw.reshape(vw.shape[:-1]).T
c_ = c.reshape(c.shape[:-1]).T
deriv = _numba_dfun_MontbrioT(vw_, c_, self.tau, self.I, self.Delta, self.J, self.eta, self.Gamma, self.cr, self.cv, local_coupling)
return deriv.T[..., numpy.newaxis]
@guvectorize([(float64[:], float64[:], float64, float64, float64, float64, float64, float64, float64, float64, float64, float64[:])], '(n),(m)' + ',()'*9 + '->(n)', nopython=True)
def _numba_dfun_MontbrioT(vw, coupling, tau, I, Delta, J, eta, Gamma, cr, cv, local_coupling, dx):
"Gufunc for MontbrioT model equations."
# long-range coupling
c_pop0 = coupling[0]
c_pop1 = coupling[1]
r = vw[0]
V = vw[1]
dx[0] = 1/tau * (Delta / (pi * tau) + 2 * V * r)
dx[1] = 1/tau * (V**2 - pi**2 * tau**2 * r**2 + eta + J * tau * r + I + cr * c_pop0 + cv * c_pop1)
