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Mathematical biology of automobile driving: V

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Abstract

The role of some inertial properties of the car, studied previously only for the case when the stimulus for the corrective turn is the perception of the angle between the direction of the car and the direction of a straight lane (Bull. Math. Biophysics,32, 71–78, 1970), is generalized to include such stimuli as the nearness to the edge of the lane and the anticipatory effect for a corrective turn, as well as the combination of all three stimuli. Conditions for stability of driving are deduced and discussed. They now depend on both biological parameters and such parameters as the position of the center of gravity of the car, its mass, and the side slip of the tires.

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Literature

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This work was done at the Mental Health Research Institute, University of Michigan, Ann Arbor.

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Rashevsky, N. Mathematical biology of automobile driving: V. Bulletin of Mathematical Biophysics 32, 173–178 (1970). https://doi.org/10.1007/BF02476883

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  • DOI: https://doi.org/10.1007/BF02476883

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