This work reviews the present position of and surveys future perspectives in the physics of
chaotic advection: the field that emerged three decades ago at the intersection of fluid …

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 …

Explanations for the patchy distribution of marine phytoplankton are critically reviewed with
the focus on the role played by lateral advection and mixing. Generating mechanisms for …

Chaotic Dynamics provides a clear introduction to chaotic phenomena, based on
geometrical interpretations and simple arguments, without requiring prior in-depth scientific …

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 …

Transient chaos is a common phenomenon in nonlinear dynamics of many physical,
biological, and engineering systems. In applications it is often desirable to maintain …

Many chemical and biological processes take place in fluid environments in constant
motion? chemical reactions in the atmosphere, biological population dynamics in the ocean …

We review recent advances on the dynamics of finite–size particles advected by chaotic fluid
flows, focusing on the phenomena caused by the inertia of finite–size particles which have …

In this paper, two issues are addressed:(1) the applicability of the delay-coordinate
embedding method to transient chaotic time series analysis, and (2) the Hilbert transform …