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  1. 2 Open Physics

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  1. 2 2013

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  1. 2 Machado J.

  2. 1 Menezes R.

  3. 1 Nigmatullin R.

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Dynamics of a backlash chain

100%
Machado J.
Open Physics
|
2013
|
vol. 11
|
issue 10
1268-1274
EN
This paper studies the dynamical properties of a system with distributed backlash and impact phenomena. This means that it is considered a chain of masses that interact with each other solely by means of backlash and impact phenomena. It is observed the emergence of non-linear phenomena resembling those encountered in the Fermi-Pasta-Ulam problem.
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Self-similarity principle: the reduced description of randomness

51%
Nigmatullin R., Machado J., Menezes R.
Open Physics
|
2013
|
vol. 11
|
issue 6
724-739
EN
A new general fitting method based on the Self-Similar (SS) organization of random sequences is presented. The proposed analytical function helps to fit the response of many complex systems when their recorded data form a self-similar curve. The verified SS principle opens new possibilities for the fitting of economical, meteorological and other complex data when the mathematical model is absent but the reduced description in terms of some universal set of the fitting parameters is necessary. This fitting function is verified on economical (price of a commodity versus time) and weather (the Earth’s mean temperature surface data versus time) and for these nontrivial cases it becomes possible to receive a very good fit of initial data set. The general conditions of application of this fitting method describing the response of many complex systems and the forecast possibilities are discussed.
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