5 papers
Continuous time evolution from iterated maps and Carleman linearization
P. Gralewicz, K. Kowalski
Using the Carleman linearization technique the continuous iteration of a mapping is studied. Based on the detailed analysis of the Carleman embedding matrix the precise mathematica…
The -deformation of the Fock space
K. Kowalski, J. Rembielinski
A deformation of the Fock space based on the finite difference replacement for the derivative is introduced. The deformation parameter is related to the dimension of the finite ana…
Universal formats for nonlinear dynamical systems
Krzysztof Kowalski
It is demonstrated that very general nonlinear dynamical systems covering all cases arising in practice can be brought down to rate equations of chemical kinetics
Groups and nonlinear dynamical systems. Dynamics on the SU(2) group
K. Kowalski, J. Rembielinski
An abstract Newton-like equation on a general Lie algebra is introduced such that orbits of the Lie-group action are attracting set. This equation generates the nonlinear dynamical…
A hypothesis concerning "quantal" Hilbert space criterion of chaos in nonlinear dynamical systems
Krzysztof Kowalski
Based on the Hilbert space approach to the theory of nonlinear dynamical systems developed by the author a hypothesis is formulated concerning the "quantal" criterion for classical…