A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems

Niranjan Chakravarthy; Konstantinos Tsakalis; Leon D. Iasemidis; Andreas Spanias

A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems

Niranjan Chakravarthy, Konstantinos Tsakalis, Leon D. Iasemidis, Andreas Spanias

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The control of unstable periodic orbits (UPOs) in chaotic systems by applying a weighted sum of external periodic inputs (basis functions) is herein proposed. The generic set of basis functions is used to stabilize different UPOs. All parameters associated with this multi-dimensional control scheme are experimentally computed. The proposed control scheme offers easy implementation for a wide variety of dynamical systems. The application of the control scheme to the chaotic Lorenz system is demonstrated.

Original language	English (US)
Title of host publication	Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
Editors	M.H. Hamza
Pages	35-40
Number of pages	6
State	Published - 2005
Event	24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005 - Innsbruck, Austria Duration: Feb 16 2005 → Feb 18 2005

Other

Other	24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005
Country/Territory	Austria
City	Innsbruck
Period	2/16/05 → 2/18/05

Keywords

Chaos
Multi-dimensional control

ASJC Scopus subject areas

General Engineering

Cite this

A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems. / Chakravarthy, Niranjan; Tsakalis, Konstantinos; Iasemidis, Leon D. et al.
Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. ed. / M.H. Hamza. 2005. p. 35-40 457-167.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chakravarthy, N, Tsakalis, K, Iasemidis, LD & Spanias, A 2005, A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems. in MH Hamza (ed.), Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC., 457-167, pp. 35-40, 24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005, Innsbruck, Austria, 2/16/05.

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AU - Tsakalis, Konstantinos

AU - Iasemidis, Leon D.

AU - Spanias, Andreas

PY - 2005

Y1 - 2005

N2 - The control of unstable periodic orbits (UPOs) in chaotic systems by applying a weighted sum of external periodic inputs (basis functions) is herein proposed. The generic set of basis functions is used to stabilize different UPOs. All parameters associated with this multi-dimensional control scheme are experimentally computed. The proposed control scheme offers easy implementation for a wide variety of dynamical systems. The application of the control scheme to the chaotic Lorenz system is demonstrated.

AB - The control of unstable periodic orbits (UPOs) in chaotic systems by applying a weighted sum of external periodic inputs (basis functions) is herein proposed. The generic set of basis functions is used to stabilize different UPOs. All parameters associated with this multi-dimensional control scheme are experimentally computed. The proposed control scheme offers easy implementation for a wide variety of dynamical systems. The application of the control scheme to the chaotic Lorenz system is demonstrated.

KW - Chaos

KW - Multi-dimensional control

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M3 - Conference contribution

AN - SCOPUS:27944485726

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BT - Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC

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T2 - 24th IASTED International Conference on Modeling, Identification, and Control, MIC 2005

Y2 - 16 February 2005 through 18 February 2005

ER -

A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems

Abstract

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Keywords

ASJC Scopus subject areas

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