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chao-dyn1998
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…
chao-dyn1998
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…