Dear ResearchGate Community,
I am thrilled to share my recently published research, titled Chaotic dynamics and zero distribution: implications and applications in control theory for Yitang Zhang’s Landau Siegel zero theorem. The study explores the following key aspects:
- Chaotic Dynamics from Dirichlet L-functions: The research delves into the realm of chaotic dynamics derived from Dirichlet L-functions, inspired by Yitang Zhang’s groundbreaking work on Landau–Siegel zeros.
- Dynamic Behavior and Chaos Indicators: The dynamic behavior is investigated, revealing profound chaos. This is corroborated by calculated Lyapunov exponents and entropy, providing evidence of the system’s inherent unpredictability.
- Fractal Geometry and Quantum Chaos: A novel connection is established between Fractal geometry and Quantum chaos, predicting the distributions of zeros for both Yitang dynamics and Riemann dynamics.
- Support for Zhang’s Theorem: Findings offer indirect support for Zhang’s groundbreaking theorem concerning Landau–Siegel zeros, suggesting potential applications in engineering and control systems, with the ability to harness chaos for beneficial purposes.
- Applications in Engineering and Control Systems: The study explores stability within electrical systems, uncovering the instability of fixed points. This highlights both the challenges and opportunities for harnessing chaotic behavior to achieve specific control objectives.
- Contributions to the Generalized Riemann Hypothesis: The research not only advances our understanding of chaotic dynamics but also opens new avenues for exploring potential applications of Yitang dynamics in electrical control systems. It may be considered as a new consequence for the generalized Riemann hypothesis.
I would be immensely grateful for your insights and feedback on these aspects. You can access the full paper here :
Article Chaotic Dynamics and Zero Distribution: Implications and App...
.Your expertise and thoughts on the implications for Yitang Zhang's work and the potential contributions to solving the Riemann hypothesis would be highly valuable.
Thank you for your time and consideration.
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