Cellular rhythms are generated by complex interactions among genes, proteins and
metabolites. They are used to control every aspect of cell physiology, from signalling, motility …

We review here the status of research on the dynamics of electrochemical reactions. The
electrodissolution of metals, cathodic deposition, and electrocatalytic reactions are …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

A prototype equation to the Lorenz model of turbulence contains just one (second-order)
nonlinearity in one variable. The flow in state space allows for a “folded” Poincaré map …

A simple four-variable oscillator containing but one quadratic term produces a higher form of
chaos with two (rather than one) directions of hyperbolic instability on the attractor. The …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

While it is known that 3-variable continuous dynamical systems are 'infinitely'richer in their
behavioral capabilities than two-variable ones (see, eg,(1)), a systematic attempt at finding …

This paper deals with turbulent or chaotic phenomena which occur in the system governed
by Duffing's equation, a special type of two-dimensional periodic system. By using analog …

A DC-DC buck converter controlled by naturally-sampled, constant-frequency pulsewidth
modulation in continuous conduction mode gives rise to a great variety of behavior …

Some general relationships between bistability and limit cycle oscillations may be
summarizedin a typical two-dimensional cross-shaped phase diagram whose validity limits …