Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Homburg, Ale Jan"'
Autor:
Fakhari, Abbas, Homburg, Ale Jan
We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop theory for it and use it i
Externí odkaz:
http://arxiv.org/abs/2408.00339
We consider reversible vector fields in $\mathbb{R}^{2n}$ such that the set of fixed points of the involutory reversing symmetry is $n$-dimensional. Let such system have a smooth one-parameter family of symmetric periodic orbits which is of saddle ty
Externí odkaz:
http://arxiv.org/abs/2207.10624
Autor:
Homburg, Ale Jan, Kalle, Charlene
We analyze the two-point motions of iterated function systems on the unit interval generated by expanding and contracting affine maps, where the expansion and contraction rates are determined by a pair $(M,N)$ of integers. This dynamics depends on th
Externí odkaz:
http://arxiv.org/abs/2207.09987
Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay of a superstable fixed point and a repelling fixed point. We consider critical intermittency for iterated function systems of inter
Externí odkaz:
http://arxiv.org/abs/2107.02556
Intermittent dynamics is characterized by long periods of different types of dynamical characteristics, for instance almost periodic dynamics alternated by chaotic dynamics. Critical intermittency is intermittent dynamics that can occur in iterated f
Externí odkaz:
http://arxiv.org/abs/1909.05559
We consider a class of cubic stochastic operators that are motivated by models for evolution of frequencies of genetic types in populations. We take populations with three mutually exclusive genetic types. The long term dynamics of single maps, start
Externí odkaz:
http://arxiv.org/abs/1808.10671
We consider a class of skew product maps of interval diffeomorphisms over the doubling map. The interval maps fix the end points of the interval. It is assumed that the system has zero fiber Lyapunov exponent at one endpoint and zero or positive fibe
Externí odkaz:
http://arxiv.org/abs/1803.02091
Autor:
Gharaei, Masoumeh, Homburg, Ale Jan
We consider a class of step skew product systems of interval diffeomorphisms over shift operators, as a means to study random compositions of interval diffeomorphisms. The class is chosen to present in a simplified setting intriguing phenomena of int
Externí odkaz:
http://arxiv.org/abs/1611.07248
Autor:
Homburg, Ale Jan
Shub & Wilkinson and Ruelle & Wilkinson studied a class of volume preserving diffeomorphisms on the three dimensional torus that are stably ergodic. The diffeomorphisms are partially hyperbolic and admit an invariant central foliation of circles. The
Externí odkaz:
http://arxiv.org/abs/1610.00491
Autor:
Homburg, Ale Jan
We treat synchronization for iterated function systems generated by diffeomorphisms on compact manifolds. Synchronization here means the convergence of orbits starting at different initial conditions when iterated by the same sequence of diffeomorphi
Externí odkaz:
http://arxiv.org/abs/1303.6054