Evidence of quasi-periodic behavior through combined mutual information-Lyapunov exponent approach applied to an internat combustion engine

• Autorzy: Haji, A. H. , Mahzoon, M. , Emdad, H.
• Języki publikacji: EN

Abstrakty

EN

In this study, a new method for detecting the quasi periodic behavior is introduced and evaIuated on a feature of the phenomenon of cyclic variations in internal combustion engines. The investigated time series are due to succeeding Top Dead Centers (TDC) intervals at three different engine speeds. Computing the auto - mutual information function using the Fraser-Swinney aIgorithm and maximaI Lyapunov exponent using Kantz algorithm, the TDC dynamics is compared to the quasi periodic route to chaos which we expect from a sine circle map.

Słowa kluczowe

PL

spalanie; mechanika; silnik spalinowy

EN

cyclic variations; Lyapunov exponent; mutuaI information; quasi-periodic route to chaos; sine-circle map

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 2
• Strony: 369-378
• Opis fizyczny: Bibliogr. 8 poz., wykr.

Twórcy

autor

Haji, A. H.

autor

Mahzoon, M.

autor

Emdad, H.

• Department of Mechanical Engineering, University of Shiraz Shiraz, IRAN,

Bibliografia

• Alstrom P., Christiansen B. and Levinsen M.T. (1988): Nonchaotic transition from quasiperiodicity to complete phase locking. - Physical Review Letters, vol.61, pp.1679-1682.
• Assireu A.T., Rosa R.R., Vijaykumar N.L., Lorenzzetti J.A., Rempel E.L., Ramos F.M., Abreu Sá L.D., Bolzan M.J. A. and Zanandrea A. (2002): Gradient pattern analysis of short nonstationary time series: an application to Lagrangian data from satellite tracked drifters. - Physica D, vol.168-169, pp.397-403.
• Fraser A.M. and Swinney H.L. (1986): Independent coordinates for strange attractors from mutual information. - Physical Review A, vol.33, No.2, pp.1134-1140.
• Hilborn R.C. (2000): Chaos and Nonlinear Dynamics, 2nd Ed. - New York: Oxford University Press.
• Kantz H. (1994): A robust method to estimate the maximal Lyapunov exponent of a time series. - Physical Letters A, vol.185, pp.77-87.
• Martinerie J.M., Albano A.M., Mees A.I. and Rapp P.E. (1992): Mutual information, strange attractors, and the optimal estimation of dimension. - Physical Review A, vol.45, No.10, pp.7058-7064.
• Papoulis A. (1991): Probability, Random Variables, and Statistic Processes, 3rd Ed. - New York: McGraw-Hill.
• Tung W., Qi Y., Gao J.B., Cao Y. and Billings L. (2005): Direct characterization of chaotic and stochastic dynamics in a population model with strong periodicity. - Chaos, Solitons and Fractal, vol.24, pp.645-652.