transientDynamics

Class AutapseODE

java.lang.Object

transientDynamics.AutapseODE

All Implemented Interfaces:

org.apache.commons.math3.ode.FirstOrderDifferentialEquations

public class AutapseODE
extends java.lang.Object
implements org.apache.commons.math3.ode.FirstOrderDifferentialEquations

This class implements a single leaky integrator with intrinsic plasticity and autapse.

Since:

2012-07-31

Constructor Summary

Constructors

Constructor and Description
AutapseODE(double gamma, double w, double epsilon_a, double epsilon_b, double lambda_1, double lambda_2) Creates a new leaky integrator with autapse according to the specified parameters.

Method Summary

Methods

Modifier and Type	Method and Description
void	computeDerivatives(double time, double[] state, double[] stateDot) Calculates the first derivatives of the ODE.
static double	g(double x, double a, double b) Transfer function $g(x, a, b) = \frac{1}{1 + e^{-a(x-b)}}$.
int	getDimension() Returns the dimension of the ODE.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

AutapseODE

public AutapseODE(double gamma,
          double w,
          double epsilon_a,
          double epsilon_b,
          double lambda_1,
          double lambda_2)

Creates a new leaky integrator with autapse according to the specified parameters.

Parameters:

gamma - leak

w - weighted adjacency matrix

epsilon_a - transfer function gain learning rate

epsilon_b - transfer function threshold learning rate

lambda_1 - target firing rate distribution parameter 1

lambda_2 - target firing rate distribution parameter 2

Method Detail

getDimension

public int getDimension()

Returns the dimension of the ODE.

Specified by:

getDimension in interface org.apache.commons.math3.ode.FirstOrderDifferentialEquations

Returns:

3

computeDerivatives

public void computeDerivatives(double time,
                      double[] state,
                      double[] stateDot)

Calculates the first derivatives of the ODE.

Specified by:

computeDerivatives in interface org.apache.commons.math3.ode.FirstOrderDifferentialEquations

Parameters:

time - time $t$

state - vector $(x(t), a(t), b(t))$

stateDot - vector $(\dot{x}(t), \dot{a}(t), \dot{b}(t))$

g

public static double g(double x,
       double a,
       double b)

Transfer function $g(x, a, b) = \frac{1}{1 + e^{-a(x-b)}}$.

Parameters:

x - membrane potential $x$

a - transfer function gain $a$

b - transfer function threshold $b$

Returns:

firing rate $y = g(x, a, b)$