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Deterministic physical systems with chaotic behaviour. (Czech) Zbl 0749.70017

Examples on systems with deterministic chaos were reviewed and analyzed by constructing corresponding transfer functions (i.e. the sequence of points characterizing the sequence of individual orbits of one or more trajectories). The type of stochasticity is determined and the behavior of the attractor is discussed. As examples the systems by E. N. Lorenz, \(\dot x=-\sigma(x-y)\), \(\dot y=-xz+rx-y\), \(\dot z=xy-bz\), dynamic systems in discrete time and dynamic systems with chaos described by ordinary differential equations were studied. Applications in physics, meteorology, biology, and ecology are mentioned.
Reviewer: V.Burjan (Praha)

MSC:

70K50 Bifurcations and instability for nonlinear problems in mechanics
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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