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Article

A Criterion for Distinguishing Temporally Different Dynamical Systems

Department of Industrial Engineering, Faculty of Engineering, Ariel University, Kiryat Ha-Mada, Ariel 4070000, Israel
Entropy 2025, 27(9), 916; https://doi.org/10.3390/e27090916
Submission received: 22 June 2025 / Revised: 24 August 2025 / Accepted: 28 August 2025 / Published: 29 August 2025

Abstract

The paper presents a method for distinguishing dynamical systems with respect to their behavior. The suggested criterion is interpreted as internal time of the ergodic dynamical system, which is a time generated by the system and differs from the external global or reference time. The paper includes a formal definition of the internal time of dynamical system in the form of the entropy ratio, considers its basic properties and gives examples of analysis of dynamical systems.
Keywords: dynamical systems; internal time; entropy dynamical systems; internal time; entropy

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MDPI and ACS Style

Kagan, E. A Criterion for Distinguishing Temporally Different Dynamical Systems. Entropy 2025, 27, 916. https://doi.org/10.3390/e27090916

AMA Style

Kagan E. A Criterion for Distinguishing Temporally Different Dynamical Systems. Entropy. 2025; 27(9):916. https://doi.org/10.3390/e27090916

Chicago/Turabian Style

Kagan, Evgeny. 2025. "A Criterion for Distinguishing Temporally Different Dynamical Systems" Entropy 27, no. 9: 916. https://doi.org/10.3390/e27090916

APA Style

Kagan, E. (2025). A Criterion for Distinguishing Temporally Different Dynamical Systems. Entropy, 27(9), 916. https://doi.org/10.3390/e27090916

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