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Reconstruction of Dynamical Systems

2009; Springer Nature; Linguagem: Inglês

10.1007/978-3-642-00937-2_4

1860-0840

Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky,

Quantum chaos and dynamical systems

The concept of attractors plays an important role in physical research. This is because of their prevalence. Aside from that, when investigating properties of dynamical systems, we are actually studying attractors. In a certain sense, attractors realize the dynamical variant of the statistical principle of shortened description. Indeed, it is not necessary to study the behavior of a system in detail, starting from initial conditions, if after a time the system will reach a stationary regime corresponding to motion on the attractor. It is these limit regimes which must first of all be investigated. The existence and prevalence of such regimes is also important to reconstruct of restore the properties of dynamical systems from experimental data.