Strange attractors are a by now well-known phenomenon in chaotic dynamical systems. Although not the only of its kind, Hénon attractor is a standard and extensively studied component of chaotic dynamics. Despite being the center of intensive research for over three decades, the Hénon and other horseshoe-like strange attractors are still poorly understood.

An inverse limit space with a single bonding map can be seen as the collection of all backward orbits of a dynamical system of the bonding map. Unimodal inverse limits model (to some extend) the Hénon-like attractors, but they are also sufficiently complicated themselves to leave us with many questions.

- H. Bruin, S. Štimac,
*Entropy of homeomorphisms on unimodal inverse limit spaces,*Nonlinearity**26**(2013), 991 - 1000. - M. Barge, R. F. Williams, S. Štimac,
*Pure discrete spectrum in substitution tiling spaces,*Discrete and Continuous Dynamical Systems - Series A**33**(2013), 579 - 597. - M. Barge, H. Bruin, S. Štimac,
*The Ingram Conjecture,*Geometry and Topology**16**(2012), 2481 - 2516. - H. Bruin, S. Štimac,
*On isotopy and unimodal inverse limit spaces,*Discrete and Continuous Dynamical Systems - Series A**32**(2012), 1245 - 1253.

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