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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2023 Volume 49, Issue 22, Pages 39–42 (Mi pjtf7120)

Methods for detecting phase transitions in complex dynamic systems

A. O. Selskiiab, O. I. Moskalenkoab, A. A. Koronovskiiab

a Saratov State University, Saratov, Russia
b Regional Scientific and Educational Mathematical Center "Mathematics of Future Technologies", Saratov, Russia

Abstract: The paper proposes two methods for detecting transitions between laminar and turbulent behavior using the example of unidirectionally coupled Ressler systems in the band chaos regime. Both methods are based on calculating the probability of diagnosing the turbulent phase and introducing Poincar sections. Depending on the choice of method, you can either reduce the time it takes to find phase transitions or increase the accuracy of determining the moment of transition between two modes.

Keywords: generalized synchronization, intermittent behavior, unidirectionally coupled systems, Poincare section.

Received: 07.09.2023
Revised: 02.10.2023
Accepted: 03.10.2023

DOI: 10.61011/PJTF.2023.22.56599.19720



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© Steklov Math. Inst. of RAS, 2025