Abstract Theory and observation indicate that natural multi-species assemblies of plants and
animals are likely to possess several different equilibrium points. This review discusses how …

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

We consider the notion of qualitative information and the practicalities of extracting it from
experimental data. Our approach, based on a theorem of Takens, draws on ideas from the …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

In this chapter we study models for the growth of a single population. Some of these models
will be used in the sequel as constituents for models of interacting popula tions …

Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an
alternation between oscillations of distinct large and small amplitudes. MMOs have been …

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 …

Den meisten von uns fällt es schwer genug, die dynamischen Vorgänge in unserer Um-
gebung einzuordnen, zu verstehen und in ihrer weiteren Entwicklung einzuschätzen. Die …

We investigate the dynamical properties of continuous maps of a compact metric space into
itself. The notion of chaos is defined as the instability of all trajectories in a set together with …