Estimation of the largest L/apunov exponent of discontinuous systems using chaos synchronization

Proceedings of the ASME Design Engineering Technical Conference

Volumn 7A-1999, Issue , 1999, Pages 1447-1450

  Stefanski, Andrzej ^a   Wojewoda, Jerzy ^a   Kapitaniak, Tomasz ^a   Brindley, John ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; VIBRATIONS (MECHANICAL);

CHAOS SYNCHRONIZATION; DISCONTINUOUS SYSTEMS; DRY FRICTION; IDENTICAL SYSTEMS; LARGEST LYAPUNOV EXPONENT; MECHANICAL SYSTEMS;

CHAOS THEORY;

EID: 84907178773     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC99/VIB-8041     Document Type: Conference Paper

References (7)

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3. A. Wolf,丄B* Swift, H.L. Swinney and J.A. Vastano: Determining Lyapunov exponents from a time series, Physica D 16, 285-317,(1985).
4. R Muller: Calculation of Lyapunov exponents for Dynamical Systems with Discontinuities, Chaos, Solitons and Fractals 5(9). 1671-1681,(1995).
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6. L.M. Pecora and T.L. Carroll: Synchronization of chaos. Physical Review Letters 64, 221-224, (1990).
7. K. Popp and R Slelter: Nonlinear oscillations of structures induced by dry friction, in: Non-linear Dynamics in Engineering Systems, ed. W. Schiehlen, Springer, New York, (1990).