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Application of Chaos Theory to Engine Systems
Technical Paper
2008-32-0010
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
We focus on the control issue for engine systems from the perspective of chaos theory, which is based on the fact that engine systems have a low-dimensional chaotic dynamics. Two approaches are discussed: controlling chaos and harnessing chaos, respectively. We apply Pyragas' chaos control method to an actual engine system. The experimental results show that the chaotic motion of an engine system may be stabilized to a periodic motion. Alternatively, harnessing chaos for engine systems is addressed, which regards chaos as an essential dynamic mode for the engine.
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Matsumoto, K., Diebner, H., Tsuda, I., and Hosoi, Y., "Application of Chaos Theory to Engine Systems," SAE Technical Paper 2008-32-0010, 2008, https://doi.org/10.4271/2008-32-0010.Also In
References
- Wendeker M. Litak G. Czarnigowski J. Szabelski K. “Nonperiodic oscillations of pressure in a spark ignition combustion engine,” Int. J. Bifurcation and Chaos 14 5 2004 1801 1806
- Litak G. Kamiński T. Rusinek R. Czarnigowski J. Wendeker M. “Patterns in the combustion process in a spark ignition engine,” Chaos, Solitons & Fractals 35 2008 578 585
- Wendeker M. Czarnigowski J. Litak G. Szabelski K. “Chaotic combustion in spark ignition engines,” Chaos, Solitons & Fractals 18 2003 803 806
- Matsumoto K. Tsuda I. Hosoi Y. “Controlling engine system: a low-dimensional dynamics in a spark ignition engine of a motorcycle,” Z. Naturforsch. 62a 2007 587 595
- Ott E. Grebogi C. Yorke J. A. “Controlling chaos,” Phys. Rev. Lett. 64 11 1990 1196 1199
- Pyragas K. “Continuous control of chaos by self-controlling feedback,” Phys. Lett. A 170 1992 421 428
- Matsumoto K. Tsuda I. Hosoi Y. “Controlling Engine System from the Perspectives of Chaos Theory,” JSAE Annual Congress (Spring) Yokohama 2008
- Casti J. Karlqvist A. “Art and Complexity,” Elsevier Science 2003
- Yamaguti M. “Towards the Harnessing of Chaos:A Collection of Contributions Based on Lectures Presented at the Seventh Toyota Conference, Mikkabi, Shizuoka, Japan,” Elsevier 1994
- Sato M. Murakami Y. “Learning nonlinear dynamics by recurrent neural networks” Proceedings of the Symposium on Some Problems on the Theory of Dynamical Systems in Applied Sciences Singapore WorldScientific 1991 49 63
- Tokuda I. Tokunaga R. Aihara K. “Back-propagation learning of infinite dimensional dynamical systems,” Neural Networks 16 2003 1179 1193
- Tsuda I. Tahara T. Iwanaga H. “Chaotic Pulsation in Human Capillary Vessels and its Dependence on Mental and Physical Conditions,” International J. of Bifurcation and Chaos 2 1992 313 324
- Diebner Hans H. “Performative Science and Beyond - Involving the Process in Research,” Springer Verlag Wien, NY 2006