- #1
Apteronotus
- 201
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In a book on synchronization it is stated that given the ODE
\frac{d\psi}{dt}=-\nu+\epsilon q(\psi)
there is at least one pair of fixed points if
\epsilon q_{min}<\nu<\epsilon q_{max}
were q_{min}, q_{max} are the min and max values of q(\psi) respectively.
While this could be true under particular circumstances (ie. when q_{min}<0, q_{max}>0), I don't see how it could hold in general; such as the case when q(\psi)>0.
Can anyone shed some light on this?
Thanks in advance.
\frac{d\psi}{dt}=-\nu+\epsilon q(\psi)
there is at least one pair of fixed points if
\epsilon q_{min}<\nu<\epsilon q_{max}
were q_{min}, q_{max} are the min and max values of q(\psi) respectively.
While this could be true under particular circumstances (ie. when q_{min}<0, q_{max}>0), I don't see how it could hold in general; such as the case when q(\psi)>0.
Can anyone shed some light on this?
Thanks in advance.
