Titlebook: Nonlinear Dynamics; A Concise Introducti George Datseris,Ulrich Parlitz Textbook 2022 The Editor(s) (if applicable) and The Author(s), unde

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Information Across Timeseries,n is how much information is shared between two different timeseries. Answering this allows us to say how much they are “correlated” with each other, which is useful in practical applications. It is also possible to take this a step further and ask about information transfer (i.e., directed informat

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Billiards, Conservative Systems and Ergodicity, still accommodate almost all dynamical features of conservative systems. In this chapter we use them as examples to illustrate the dynamics of conservative systems, highlighting the coexistence of chaotic and regular orbits in the state space. Ergodicity is a concept historically linked with billia

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Dynamics on Networks, Power Grids, and Epidemics,etworks, supply chains, power grids, epidemic spreading, and more. In this chapter we first introduce the basics of network theory and some of the major kind of networks one encounters. We then discuss two main topics typically modelled using networks: synchronization of many units and spreading of

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Pattern Formation and Spatiotemporal Chaos,l compounds, electric or fluid current densities or other relevant physical quantities. In such systems spatial patterns may emerge corresponding to spatial variations of the fields representing the states of the extended system. These patterns can be stationary or may oscillate in time resulting in

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George Datseris,Ulrich Parlitzincluded assessed systems but it is also capable of interpolating into regions which are not well-known. Typical steel databases are confined to the Fe-rich corner. Contrary to that the present compilation cove978-3-540-88142-1Series ISSN 1615-1844 Series E-ISSN 1616-9522

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George Datseris,Ulrich Parlitzincluded assessed systems but it is also capable of interpolating into regions which are not well-known. Typical steel databases are confined to the Fe-rich corner. Contrary to that the present compilation cove978-3-540-88142-1Series ISSN 1615-1844 Series E-ISSN 1616-9522

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George Datseris,Ulrich Parlitzincluded assessed systems but it is also capable of interpolating into regions which are not well-known. Typical steel databases are confined to the Fe-rich corner. Contrary to that the present compilation cove978-3-540-88142-1Series ISSN 1615-1844 Series E-ISSN 1616-9522