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Toward automated extraction and characterization of scaling regions in dynamical systems

Toward automated extraction and characterization of scaling regions in dynamical systems

Scaling regions-intervals on a graph where the dependent variable depends linearly on the independent variable-abound in dynamical systems, notably in calculations of invariants like the correlation dimension or a Lyapunov exponent. In these applications, scaling regions are generally selected by hand, a process that is subjective and often challenging due …