Support Refhub: Together for Knowledge and Culture

Dear friends,

As you know, Refhub.ir has always been a valuable resource for accessing free and legal books, striving to make knowledge and culture available to everyone. However, due to the current situation and the ongoing war between Iran and Israel, we are facing significant challenges in maintaining our infrastructure and services.

Unfortunately, with the onset of this conflict, our revenue streams have been severely impacted, and we can no longer cover the costs of servers, developers, and storage space. We need your support to continue our activities and develop a free and efficient AI-powered e-reader for you.

To overcome this crisis, we need to raise approximately $5,000. Every user can help us with a minimum of just $1. If we are unable to gather this amount within the next two months, we will be forced to shut down our servers permanently.

Your contributions can make a significant difference in helping us get through this difficult time and continue to serve you. Your support means the world to us, and every donation, big or small, can have a significant impact on our ability to continue our mission.

You can help us through the cryptocurrency payment gateway available on our website. Every step you take is a step towards expanding knowledge and culture.

Thank you so much for your support,

The Refhub Team

Donate Now

Equations of Phase-Locked Loops: Dynamics on the Circle, Torus and Cylinder (World Scientific Series on Nonlinear Science Series a) (World Scientific Series on Nonlinear Science: Series a)

4.3

Reviews from our users

You Can Ask your questions from this book's AI after Login
Each download or ask from book AI costs 2 points. To earn more free points, please visit the Points Guide Page and complete some valuable actions.

Related Refrences:

Welcome to 'Equations of Phase-Locked Loops: Dynamics on the Circle, Torus and Cylinder', a comprehensive exploration of phase-locked loops (PLLs) and their intricate dynamics on various geometric surfaces. Authored by Jacek Kudrewicz and Stefan Wasowicz, this book is a cornerstone in the World Scientific Series on Nonlinear Science, providing an in-depth examination of the mathematics and engineering principles underpinning PLLs. Whether you are a seasoned researcher, a practicing engineer, or a student of nonlinear dynamics, this book offers valuable insights into the fascinating world of PLL systems.

Summary of the Book

This book delves deeply into the mathematical descriptions and dynamics of PLLs, focusing on their behavior when confined to geometrical structures such as circles, tori, and cylinders. PLLs are fundamental components in communication systems, used for synchronizing oscillators. The authors begin by introducing the basic configurations of PLLs and gradually progress to intricate models that exhibit complex dynamic behaviors like bifurcations and chaos.

The book outlines analytical methods for studying PLLs, emphasizing the geometric interpretation of phase dynamics. This involves exploring how phase synchronization, stability, and periodicity manifest in different geometrical contexts. Readers are guided through a seamless integration of theoretical derivations and practical applications, making sense of how such models function in real-world scenarios. Special chapters discuss various mathematical tools used in the analysis, such as differential equations and topological concepts, providing a robust framework for understanding PLL behavior.

Key Takeaways

  • The concept of phase-locked loops is explored through both linear and nonlinear dynamics.
  • Mathematical modeling on geometrical objects helps in understanding synchronization phenomena.
  • Tools from topology and differential equations are essential for analyzing PLL systems.
  • Real-world applications of PLLs in communication technologies highlight the practical relevance of the theoretical models presented.
  • The book serves as a bridge between advanced mathematical theories and engineering practices.

Famous Quotes from the Book

"Understanding the behavior of phase-locked loops through the lens of geometry allows for innovative insights into their synchronization capabilities."

"The interplay between nonlinearity and geometry in PLLs opens up new horizons for both theoretical investigations and applied engineering tasks."

Why This Book Matters

The significance of 'Equations of Phase-Locked Loops' lies in its unique approach to bridging mathematical theory with practical engineering applications. PLLs are crucial in numerous technological applications, including telecommunications, electronics, and signal processing. The text's emphasis on geometric interpretations not only equips readers with the necessary theoretical foundations but also enhances the understanding of how these principles are applied.

Moreover, this book addresses existing knowledge gaps by introducing novel techniques in the study of dynamical systems on non-traditional surfaces, which can lead to new developments in the design and analysis of PLL systems. As such, it is an indispensable resource for academics and industry professionals seeking to push the boundaries of what PLL technology can achieve in ever-evolving technological landscapes.

Free Direct Download

Get Free Access to Download this and other Thousands of Books (Join Now)

For read this book you need PDF Reader Software like Foxit Reader

Reviews:


4.3

Based on 0 users review