Read the equation
The α(E−C) term pulls C toward E when α is positive. The second term drives C with a sinusoid whose amplitude depends on L and on the current Fibonacci ratio. Because the forcing depends on time and on another changing state, a vanishing average of the sine alone does not prove that the complete feedback term averages to zero.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| C | State named consciousness in the model |
| E | Energy-like state |
| L | Learning-like state |
| α | Relaxation coefficient |
| β | Feedback coefficient |
| n | Fibonacci index |
| t | Model time |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
The source needs an explicit rule for n as time advances and a nonzero Fibonacci denominator.
Original context
Read the surrounding source passage
System dynamics follow coupled differential equations with Fibonacci modulation:
\begin{equation}
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}
\label{eq:dC}
\end{equation}
\begin{equation}
\frac{dE}{dt} = -\gamma C + I(t) \cdot \left(1 + \cos(\golden t \cdot \fib{n})\right)
\label{eq:dE}
\end{equation}Exact original notation
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}Related builds
Sources & provenance
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}
\frac{dC}{dt} = \alpha(E - C) + \beta \cdot L \cdot \sin(\golden t) \cdot \frac{\fib{n}}{\fib{n-1}}