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Related Experiment Video

Updated: Nov 23, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Fractional q-deformed chaotic maps: A weight function approach.

Guo-Cheng Wu¹, Mehmet Niyazi Çankaya², Santo Banerjee³

¹Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, People's Republic of China.

Chaos (Woodbury, N.Y.)

|December 31, 2020

Summary

This summary is machine-generated.

This study introduces fractional quantum calculus on the time scale to analyze chaotic dynamics in q-deformed discrete-time systems, overcoming challenges with non-local memory effects.

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Area of Science:

Nonlinear Dynamics
Fractional Calculus
Quantum Calculus

Background:

Fractional derivatives model systems with long-range interactions and memory effects.
Investigating chaos in deformed fractional discrete-time systems presents significant challenges due to non-locality.

Purpose of the Study:

To explore chaotic dynamics in fractional q-deformed maps using fractional quantum calculus on the time scale.
To propose an efficient methodology for modeling complex dynamics in such systems.

Main Methods:

Application of fractional quantum calculus on the time scale.
Utilization of discrete memory kernels.
Development of a weight function approach for fractional modeling.

Main Results:

Demonstration of rich q-deformed dynamics.
Successful investigation of chaos in the studied fractional systems.
Validation of the proposed methodology's efficiency.

Conclusions:

Fractional quantum calculus on the time scale provides an effective framework for analyzing chaos in q-deformed discrete systems.
The proposed weight function approach with discrete memory kernels is efficient for modeling complex dynamics.