@article{oai:nagoya.repo.nii.ac.jp:00030152,
 author = {山本, 裕二 and 横山, 慶子 and 郷原, 一寿 and YAMAMOTO, Yuji and YOKOYAMA, Keiko and GOHARA, Kazutoshi},
 issue = {1},
 journal = {総合保健体育科学},
 month = {May},
 note = {We applied a switching hybrid dynamical system to tennis singles matches to find hysteresis in the movements of the players. Players’ movements in nine international soft-tennis matches were analyzed from the viewpoint of a coupled switching hybrid dynamical system. First, the cycle, external input pattern, and state variables were defined. The cycle was defined as the interval of sequential opponent hitting and the external input pattern was defined as the deuce side or the advantage side, depending on the opponent hitting course. The state variables were defined as the angle and the tangential velocity in polar coordinates for which the origin was the center of the court. We considered the second-order sequence effect and the trajectories in hyper cylindrical state space using the state variables corresponding to the four kinds of external input for all rallies and the final rally of each point. Poincaré maps were depicted and analyzed. Hysteresis of the players’ movements during the matches could not be revealed because, in disadvantage situations, players would adopt a strategy to overcome the disadvantage. This result suggests that players in ball-over-net games or reciprocal interpersonal competitions tend to clear the hysteresis and adopt the “not to lose” strategy.},
 pages = {1--8},
 title = {切替混合力学系はテニスの試合に履歴現象を見出せるか},
 volume = {43},
 year = {2020}
}