Monthly Archives: January 2013

Spectral methods in dynamics

In the dynamics seminar here at Houston, we’re beginning a series of expository talks on statistical properties of dynamical systems. This week’s talk was given by Andrew Török and introduces some of the spectral methods for transfer operators that prove … Continue reading

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More on Riccati equations and fractional linear transformations

In the last post, we saw that solutions of the non-autonomous Riccati equation are given by fractional linear transformations — that is, if is the map taking the initial condition to the solution at time , then for some functions … Continue reading

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Riccati equations and fractional linear transformations

In a typical course on ordinary differential equations, the Picard–Lindelöf theorem on existence and uniqueness of solutions is followed at some point by an example illustrating that such solutions may not be defined for all time, but may go to … Continue reading

Posted in ODE | Tagged , | 4 Comments