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In this paper, we look for the relevance of chaos in the well-known Hicks-Samuelson's oscillator model investigating …. We compute the Lyapunov exponent, via Monte-Carlo simulations, to detect chaos in the evolution of the income between … quasi-periodic attractor that can be chaotic or not. …
Persistent link: https://www.econbiz.de/10012623438
We demonstrate that the methods of signal (time series) analysis developed in nonlinear and symbolic dynamics when applied to financial data in Econophysics give new possibilities of interpretation of those data. Analogies with interpretation of biosignals in Medical Physics may be observed....
Persistent link: https://www.econbiz.de/10010590499
Persistent link: https://www.econbiz.de/10010350405
This text was written as part of the project "Modelling of Complex Systems for Public Policy". It reviews the classical authors who jointly contributed to establish the elements of what could constitute a "science of complexity". Based on the original writings of these authors, the text...
Persistent link: https://www.econbiz.de/10010462099
This text was written as part of the project Modelling of Complex Systems for Public Policy. It reviews the classical authors who jointly contributed to establish the elements of what could constitute a "science of complexity". Based on the original writings of these authors, the text discusses...
Persistent link: https://www.econbiz.de/10012057058
This paper presents results concerning the nonlinear analysis of the mean annual value temperature time series corresponding to the Earth’s global climate for the time period of 713 – 2004. The nonlinear analysis consists of the application of several filtering methods, the estimation of...
Persistent link: https://www.econbiz.de/10011114282
Time complexity is associated with sensitive dependence on initial conditions and severe intrinsic predictability limits, in particular, the ‘butterfly effect’ paradigm: an exponential error growth and a corresponding characteristic predictability time. This was believed to be the universal...
Persistent link: https://www.econbiz.de/10010874624
This paper builds on Kocenda (2001) and extends it in two ways. First, two new intervals of the proximity parameter epsilon (over which the correlation integral is calculated) are specified. For these epsilon-ranges new critical values for various lengths of the data sets are introduced and...
Persistent link: https://www.econbiz.de/10005086598
The aim of these lecture notes is to present a few mathematical facts about the bifurcations of nonlinear difference equations, in a concise and simple form that might be useable by economic theorists.
Persistent link: https://www.econbiz.de/10005057178
The relation between the degree of financial development of an economy (measured by the extent in which constraints to credit exist) and fluctuations affecting the trend of economic growth, is a relevant theme of discussion in macroeconomics. Some of the literature on this field argues that the...
Persistent link: https://www.econbiz.de/10005620066