Abstract
In this paper, our aim is to establish the control mechanism of the iteration process defined as S-iteration in the literature. First of all, it is to determine the dynamics of a system with chaotic property under Siteration. Afterward, we investigate the stability state of the chaotic system under this iteration with the parameters of the S-iteration. In addition, using the chaotic logistic system, we will illustrate the theoretical results in this example in the MATLAB program. Finally, we will examine the periodic state of the S-iteration and investigate the cases in which the periodic behavior is stable or unstable of the S-iteration with the Lyapunov exponent.
Keywords
Lyapunov exponent
CHAOS (operating system)
Mathematics
Control of chaos
Synchronization of chaos
Dynamical systems theory
Control theory (sociology)
Applied mathematics
Statistical physics
Control (management)
Chaotic
Computer science
Physics
Artificial intelligence
Quantum mechanics
Subject Areas
Chaos control and synchronization
·Statistical and Nonlinear Physics ·Physical Sciences
Elasticity and Wave Propagation
·Mechanics of Materials ·Physical Sciences
Mathematical Dynamics and Fractals
·Mathematical Physics ·Physical Sciences
Citations by Year
2025: 2
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