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Universality and scaling in networks of period-doubling maps with a pacemaker.

Ivanova, Anna S., Kuznetsov, Sergey P., Osbaldestin, Andrew H. (2006)

Discrete Dynamics in Nature and Society

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...

Vector fields and flows on differentiable stacks.

Hepworth, Richard (2009)

Theory and Applications of Categories [electronic only]

Wandering Sets for a Class of Borel Isomorphisms of ...0,1).

Edward A. Azoff, Eugen J. Ionascu (2000)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Wavelet-based quantum field theory.

Altaisky, Mikhail V. (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary

Bassam Fayad, Maria Saprykina (2005)

Annales scientifiques de l'École Normale Supérieure

Weighted kneading theory of one-dimensional maps with a hole.

Rocha, J.Leonel, Ramos, J.Sousa (2004)

International Journal of Mathematics and Mathematical Sciences

Weighted power mean discrete dynamical systems: fast convergence properties.

Solis, Francisco J. (2006)

Discrete Dynamics in Nature and Society

Well-approximable angles and mixing for flows on $𝕋^{2}$ with nonsingular fixed points.

Kochergin, A. (2004)

Electronic Research Announcements of the American Mathematical Society [electronic only]

X-minimal patterns and a generalization of Sharkovskiĭ's theorem

Jozef Bobok, Milan Kuchta (1998)

Fundamenta Mathematicae

We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point of view of the forcing relation. We call these patterns X-minimal. We obtain a generalization of Sharkovskiĭ's Theorem where the notion of period is replaced by the notion of eccentricity.