Abstract
In this chapter we review the development of the control of chaos theory subsequent to the seminal paper by Ott, Grebogi and Yorke in 1990. After summarizing the main characteristics of the OGY method, we analyze and discuss various applications in several fields of mechanics.We then illustrate the main aspects of an alternative control method which aims at controlling the overall system dynamics instead of stabilizing a single periodic orbit, as the OGY method does. The two methods are both based on the modern idea of exploiting the chaotic properties of systems, instead of simply eliminating chaos. This paper is one of a collection written in honour of Celso Grebogi, on the occasion of his 60th birthday. So we have thought it appropriate to start with short personal reminiscences by two of the present authors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Rega, G., Lenci, S., Thompson, J. (2010). Controlling Chaos: The OGY Method, Its Use in Mechanics, and an Alternative Unified Framework for Control of Non-regular Dynamics. In: Thiel, M., Kurths, J., Romano, M., Károlyi, G., Moura, A. (eds) Nonlinear Dynamics and Chaos: Advances and Perspectives. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04629-2_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-04629-2_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04628-5
Online ISBN: 978-3-642-04629-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)