[Syllabus]
Course Title: CHAOS CONTROL AND ANTI-CONTROL
Lecture 1.
Overview of Chaos and Chaos Control
(controlling chaos toward engineering and scientific applications)
Lecture 2.
To be More Precise: What is Chaos?
(some mathematical definitions and features of chaos)
Lecture 3.
More Details on Chaotic Dynamics
(limit sets, Poincare map, Lyapunov exponent, topological dimensions, strange attractor, etc.)
Lecture 4.
Challenges in Chaos Control
(essential difficulties in chaos control versus classical control theory)
Lecture 5.
Some Representative Chaos Control
Methods
(OGY method, feedback control to UPOs, nonconventional techniques)
Lecture 6.
Time-Delayed Feedback Control
(motivation, advantages/limitations, applications)
Lecture 7.
Chaos Synchronization and Communication
(chaos synchronization: methods, applications, and challenges)
Lecture 8.
Spatiotemporal Chaos and Its Control
(chaos in PDEs, pattern formation and chaos control, applications)
Lecture 9.
Anti-control of Chaos: Making a
Non-chaotic System Chaotic
(how to rigorously generate chaos via state-feedback controls?)
Lecture 10.
Future Research Outlook