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 …

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

We explore the high-dimensional chaotic dynamics of the Lorenz-96 model by computing
the variation of the fractal dimension with system parameters. The Lorenz-96 model is a …

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

Experiments are performed in which a large number (∼ 104) of relaxation oscillators are
globally coupled through the concentration of chemicals in the surrounding solution. Each …

We present a finite element scheme capable of preserving the nonnegative and bounded
solutions of the generalized Burgers–Huxley equation. Proofs of existence and uniqueness …

We numerically explore the propagation of reacting fronts in a shallow and horizontal layer
of fluid. We focus on fronts that couple with the fluid due to density differences between the …

We consider the generalized Burgers–Huxley (GBH) equation subject to certain initial and
boundary conditions (BCs). Using a solitary wave solution, we derive an exact finite …

We study analytically, numerically, and experimentally the nonlinear symmetry breaking
induced by broken reflection symmetry in an optical fiber system. In particular, we investigate …

We extend a spatially non-local cross-diffusion model of aggregation between multiple
species with directed motion toward resource gradients to include many species and more …