Chaos and time-series analysis

By Julien Clinton Sprott. 2001

1,833 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/7eeae627ab0f2e05c2dca983250ecc17bd55ea5d

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In Economics and Econometrics

Citations in the corpus

Symptoms of complexity in a tourism system (2007, methodology): “91 tourist overnights at Elba Island for the period (Sprott, 2003).”
New class of chaotic systems with circular equilibrium (2015, background): “Dynamical motion in the close neighborhood of the equilibrium circle is determined by the eigenvalues and associated eigenspaces established along this structure [9].”
Emotions are emergent processes: they require a dynamic computational architecture (2009, methodology): “A second illustration of the use of dynamic nonlinear systems models draws from chaos theory, in particular the branch known as catastrophe theory (Stewart & Peregoy 1983; Abraham & Gilgen 1995; Sprott 2003).”
Chaotic hyperjerk systems (2006, background): “The study of chaos in low-dimensional dynamical systems is now relatively mature [1], and interest is turning more to understanding the dynamics of high-dimensional systems where chaos, hyperchaos, self-organization, pattern formation, and other related processes are common.”
Complex Dynamics in Macroeconomics: A Novel Approach (2005, background): “The rest of the sequences where embedded according to the stylized facts on the reconstruction of their phase space dynamics (Zbilut and Webber [69]; Sprott [60]; Webber and Zbilut [67]; Marwan [44]).”
Detecting chaos from a time series (2005, methodology): “In this paper, we use basic nonlinear time series analysis methods for confirming the chaotic behaviour of a very simple periodically driven resistor–inductor diode (RLC) circuit [16].”
Highly comparative time-series analysis: the empirical structure of time series and their methods (2013, methodology): “Some clusters contained time series generated by different systems, such as the cluster illustrated in figure 4b that contains time series generated from three different iterative maps: the Cubic Map, the Sine Map and the Asymmetric Logistic Map [9].”
The dynamics of human gait (2005, background): “While there exist excellent monographs on nonlinear time series analysis [4–6], there is still a shortage of literature showing concrete applications of simple methods to real-life problems.”