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Unstable Orbits and Milnor Attractors in the Discontinuous Flat Top Tent Map

Viktor Avrutin, Ben Futter, Laura Gardini, Michael Schanz (2012)

ESAIM: Proceedings

In this work we consider the discontinuous flat top tent map which represents an example for discontinuous piecewise-smooth maps, whereby the system function is constant on some interval. Such maps show several characteristics caused by this constant value which are still insufficiently investigated. In this work we demonstrate that in the discontinuous flat top tent map every unstable periodic orbit may become a Milnor attractor. Moreover, it turns...

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