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Dane Sabo 2024-12-02 13:20:09 -05:00
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300s School/ME 2016 - Nonlinear Dynamical Systems 1/2024-12-02 Delay Differential Equation.md
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@ -14,4 +14,7 @@ Then after some steps
$$\frac{dx}{dt} = -x(t-1) \rightarrow dx' = -x'(t'-1)dt'$$ $$\frac{dx}{dt} = -x(t-1) \rightarrow dx' = -x'(t'-1)dt'$$
And then this can be solved at each interval. And then this can be solved at each interval.
- This gets annoying. - This gets annoying.
- Need to solve at each interval over and over. - Need to solve at each interval over and over.
## Stability of DDEs
For ODE: equilibrium point is 0 of derivative
For DDE: dx/dt is still 0