2017
DOI: 10.1007/978-3-319-50255-7_10
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Non-Linear Chaotic Dynamics of Quantum Systems: Molecules in an Electromagnetic Field and Laser Systems

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Cited by 20 publications
(48 citation statements)
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“…One of the negative consequences of these processes, known as man-made, is, in particular, a catastrophic increase in atmospheric pollution. About 200 million tons of carbon dioxide, more than 150 million tons of sulfur oxide, more than 500 million tons of hydrocarbons, more than 250 million tons of fine aerosols (dust), and many other harmful substances [1][2][3][4] annually emit into the atmosphere as a result of such activities. Although the development of global transport and communication systems rule out the possibility of localization of human influence on the environment, the big industrial cities are in the most difficult situation as here there are focused a huge industrial and transport complex, which is the main source of the environmental pollution, and including the atmosphere.…”
Section: Introductionmentioning
confidence: 99%
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“…One of the negative consequences of these processes, known as man-made, is, in particular, a catastrophic increase in atmospheric pollution. About 200 million tons of carbon dioxide, more than 150 million tons of sulfur oxide, more than 500 million tons of hydrocarbons, more than 250 million tons of fine aerosols (dust), and many other harmful substances [1][2][3][4] annually emit into the atmosphere as a result of such activities. Although the development of global transport and communication systems rule out the possibility of localization of human influence on the environment, the big industrial cities are in the most difficult situation as here there are focused a huge industrial and transport complex, which is the main source of the environmental pollution, and including the atmosphere.…”
Section: Introductionmentioning
confidence: 99%
“…One of the difficult aspects of the problem is that the composition of the atmosphere of the city is influenced by many factors, which include the characteristics of pollution sources, their location on the terrain, climatic and meteorological parameters, especially the city's architecture, processes of energy and transport, dissipative and relaxation, self-cleaning and regeneration, etc. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. A link between the individual factors is difficult enough, processes are mostly random.…”
Section: Introductionmentioning
confidence: 99%
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“…A certain one-sidedness of the vibrodiagnostic methods, based primarily on the primary Fourier transform of the signal, does not allow for an integrated approach to solving the problem. The wide spread and more advanced methodologies such as wavelet analysis, subspace-based identification methodologies, regression analysis, singular value decomposition, auto-associative neural network and factor analysis under situation, dyanical systems and chaos theory methods [5][6][7][8][9][10] etc have been discussed.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper for the first time we present and apply a novel computational approach to modelling, analysis (further prediction) of a chaotic behaviour of structural dynamic properties of the engineering structures, based on earlier developed chaos-geometric and vibration blind source monitoring approach. In the concrete realization the novel approach includes a combined group of blind source monitoring , non-linear analysis and chaos theory methods such as a correlation integral approach, average mutual information, surrogate data, false nearest neighbours algorithms, the Lyapunov's exponents and Kolmogorov entropy analysis, nonlinear prediction models etc [5][6][7][8][9][10][11]. As illustration we present the results of the numerical investigation of a chaotic elements in dynamical parameter time series for the experimental cantilever beam (the forcing and environmental conditions are imitated by the damaged structure, the variable temperature and availability of the pink-noise force).…”
Section: Introductionmentioning
confidence: 99%