Institute for Nonlinear Dynamical Inference

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Objectives and Activities

The deep advances of Russian and Ukranian scholars in nonlinear inference during the 19th and early 20th centuries are legendary, with the names of such critics of linear statics as Liapunov, Pontryagin, Kolmogorov, von Mises, Baran, Smirnov, Kondratiev, Markov, Chebyshev, Gelfand, Lifshitz, and Kantorovich being synonymous with many areas of nonlinear dynamical inference in mathematics, statistics, physics, economics, history, and engineering. More recently the relevance of nonlinear dynamics to inference in economics has been growing, but with the full scope and depth of advances in that methodology, as by Leonid Shilnikov (1934-2011), not yet fully recognized by mainstream economists.  The primary objective of INDI is to bring together scholars from throughout the world with expertise in nonlinear methodology and in econometric practice, to advance the mutual best interests of both groups.  Many participants will not be economists, but with interests in the potential spread of their research to economics.

Major researchers from both groups will be appointed Fellows of INDI, with the ability to submit research to the Institute‚Äôs online library, Studies in Nonlinear Dynamical Inference (SNDI).  Only INDI Fellows will be authorized to submit to SNDI.  But access to SNDI papers will be available to all researchers at no cost and without required membership in INDI.  In addition, INDI will cosponsor relevant conferences, with particular emphasis on conferences in which INDI fellows participate. As visibility of INDI research grows, there will be publications of journal special issues and monograph volumes containing research by INDI Fellows.

Lorenz Attractor and the Butterfly Effect
Lorenz Attractor and the Butterfly Effect