Chaos Oscillator - Introduction to Detection

Author: Li Yue
Publisher:
Publish Date: 2004-05-01
Features: In recent years, as an important part of nonlinear science, chaos theory has made significant progress in areas such as chaos universality, mathematical and physical characteristics of chaos, causation mechanisms of chaos, and chaos application technologies. Among them, the chaos oscillator method for effective signal detection in strong noise backgrounds is a hot topic and an exploratory time-domain detection method. Its application fields include meteorology, biology, electronics, automatic control, quantitative economics, geology, and military science, among others. Using nonlinear chaos oscillators for weak signal detection is also an exploratory time-domain detection method. This book presents a systematic discussion on the application of chaos detection systems for signal detection in strong noise backgrounds for the first time. It includes providing mathematical models of typical signals, detecting weak signals under white noise and colored noise backgrounds respectively, discussing the working principles, and conducting detailed simulation experiment result analysis. It also applies Melnikov functions and Lyapunov exponents to study the chaos criteria and bifurcation thresholds of the system, while proposing a quantitative analysis method for the system. The target readers of this book are scientific and technological workers engaged in weak signal detection in various scientific research and engineering fields, as well as postgraduate students or senior undergraduate students in relevant disciplines at universities, serving as teaching materials or reference books.