The subject and main areas of a new research field—cybernetical physics—are discussed.
A brief history of cybernetical physics is outlined. The main areas of activity in cybernetical …

Transient chaos is a characteristic behaviour in nonlinear dynamics where trajectories in a
certain region of phase space behave chaotically for a while, before escaping to an external …

We propose to control the orbits of the two-dimensional Rulkov model affected by bounded
noise. For the correct parameter choice the phase space presents two chaotic regions …

We provide rigorous computer-assisted proofs of the existence of different dynamical
objects, like stable families of periodic orbits, bifurcations and stable invariant tori around …

Safe sets are a basic ingredient in the strategy of partial control of chaotic systems. Recently
we have found an algorithm, the sculpting algorithm, which allows us to construct them …

We consider a dynamical model of cancer growth including three interacting cell populations
of tumor cells, healthy host cells and immune effector cells. For certain parameter choice, the …

We demonstrate, first in literature, that potential functions can be constructed in a continuous
dissipative chaotic system and can be used to reveal its dynamical properties. To attain this …

Discrete dynamical systems where one or several of their parameters vary randomly every
iteration are usually referred to as random maps in the literature. However, very few …

Extinction of a species is one of the most dramatic processes in ecology. Here we use an
extended version of the McCann–Yodzis three-species food chain model proposed by …

A new control algorithm based on the partial control method has been developed. The
general situation we are considering is an orbit starting in a certain phase space region Q …