International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 10  (October 2017), Pages:  106-115

Original Research Paper

Title: Transient and recurrence processes in open system

Author(s): Vladimirsky Eduard Iosifovich *, Ismailov Bahram Israfil

Affiliation(s):

Department of Instrumentation Engineering, Azerbaijan State Oil and Industrial University, Baku, Azerbaijan

https://doi.org/10.21833/ijaas.2017.010.015

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Abstract:

The results of studies of transient and recurrent processes in open systems are shown. Questions related to the features of fractional systems - generalized memory are considered. As a criterion for estimating the dynamics of the studied processes, we propose a generalized Poincare spectrum characterizing the dimensionality of the geometric, information, and dynamic properties of transient and recurrent processes. The proposed axiomatic shows the connection between generalized memory and the repetition of Poincare. Developed a mathematical model of the transition process in multidimensional fractional chaotic systems. 

© 2017 The Authors. Published by IASE.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Poincare recurrence, Generalized memory, Tsallis entropy, Fractional hyperchaotic systems

Article History: Received 18 May 2017, Received in revised form 11 August 2017, Accepted 20 August 2017

Digital Object Identifier: 

https://doi.org/10.21833/ijaas.2017.010.015

Citation:

Iosifovich VE and Israfil IB (2017). Transient and recurrence processes in open system. International Journal of Advanced and Applied Sciences, 4(10): 106-115

Permanent Link:

http://www.science-gate.com/IJAAS/V4I10/Iosifovich.html

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