In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

Chemical and biological processes often take place in fluid flows. Many of them, like
environmental or microfluidical ones, generate filamentary patterns which have a fractal …

Hydrodynamical phenomena play a keystone role in the population dynamics of passively
advected species such as phytoplankton and replicating macromolecules. Recent …

Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …

It is well known, that the dynamics of small particles moving in a viscous fluid is strongly
influenced by the long-range hydrodynamical interaction between them. Motion at high …

Nonlinear systems often give rise to fractal boundaries in phase space, hindering
predictability. When a single boundary separates three or more different basins of attraction …

We investigate the evolution of active particle ensembles in open chaotic flows. The active
processes of the type A+ B→ 2 B and A+ B→ 2 C are considered in the limit of weak …

This paper describes some numerical experiments giving evidence of Wada basin
boundaries for the Duffing oscillator. We suggest some mechanisms by which this fractal …

Chaotic scattering in open Hamiltonian systems under weak dissipation is not only of
fundamental interest but also important for problems of current concern such as the …

The action of a set of ergodic magnetic limiters in tokamaks is investigated from the
Hamiltonian chaotic scattering point of view. Special attention is paid to the influence of …