X-Nico

unusual facts about Dynamical system


The Beauty of Fractals

The Beauty of Fractals is a 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals.


Hopf bifurcation

In the mathematical theory of bifurcations, a Hopf or Poincaré–Andronov–Hopf bifurcation, named after Henri Poincaré, Eberhard Hopf, and Aleksandr Andronov, is a local bifurcation in which a fixed point of a dynamical system loses stability as a pair of complex conjugate eigenvalues of the linearization around the fixed point cross the imaginary axis of the complex plane.

Peter Štefan

Peter Štefan (or Peter Stefan) (1941, Bratislava, Slovak Republic – 18 June 1978, Tryfan, Wales) was a Slovak mathematician who was known for his works on dynamical systems and mathematical entropy.

Singular function

Singular functions occur, for instance, as sequences of spatially modulated phases or structures in solids and magnets, described in a prototypical fashion by the model of Frenkel and Kontorova and by the ANNNI model, as well as in some dynamical systems.


see also

Floris Takens

Takens also established the result now known as the Takens' theorem, which shows how to reconstruct a dynamical system from an observed time-series.

Hénon

Hénon map, a chaotic dynamical system introduced by Michel Hénon