ある非線形振動系のカオス的挙動について : 第2報, 高調波共振領域の応答特性

概要

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We investigate the characteristics of a forced nonlinear oscillating system corresponding to the van der Pol and Duffing system with retardation. Making use of a numerical analytical scheme, the characteristics in the higher harmonic resonant region of the system have been considered in detail. The system has been found to possess very complex characteristics, e. g. , many kinds of subharmonic vibrations, both symmetric and unsymmetric subharmonic solutions, bifurcations and aperiodic motions. Configurations of these subharmonics have been isolated as islandlike response curves. Among these subharmonics, there may exit islandlike response curves which show only imperfect period doubling bifurcation. However, aperiodic motions, i. e. , chaotic behaviors, appear in various frequency regions, and a chaotic switching phenomenon has also been observed.
一般社団法人日本機械学会の論文
1994-06-25