3

Overview of dynamical systems and chaos

Luiz H. A. Monteiro

Escola de Engenharia da Universidade Presbiteriana Mackenzie Escola Politécnica da Universidade de São Paulo

CONTENTS

3.1    State-variable representation and some terminology

3.2    Steady state and Lyapunov stability

3.3    Periodic and quasiperiodic solutions

3.4    Chaotic behavior

3.5    Structural stability and bifurcation

3.6    Examples: dynamics of PLLs

3.7    Concluding remarks

3.8    Acknowledgments

Bibliography

Dynamical Systems Theory (DST) is the branch of applied mathematics dedicated to qualitatively characterizing the long-term behavior of systems evolving according to difference and differential equations. DST has its roots in classical mechanics, a major area in ...

Get Chaotic Signals in Digital Communications now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.