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Intermittent non-linear systems with noise. A derivation from first principles.

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FDE2 - Fractional differential equations

Starting from a random walk model we add intermittency to probabilistically derive three equivalent governing equations for the location of the drunken sailor. Using the Conservation of Mass Equation we pick a winner and extend the model to  non-autonomous systems with forcing (deterministic plus noise).  After carefully adding reaction terms the full non-linear system of equations emerges.

This talk is part of the Isaac Newton Institute Seminar Series series.

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