Pull-down plateau of a Toda-like fractal-fractional oscillator and its application in grass carp’s roes’ agglomeration

Grass carp’s roes should be agglomerated together for maximizing their survival rate against various predators. Any vibration induced by any environmental perturbation attenuated immediately. A Toda-like fractal-fractional oscillator is established, which shows a low-frequency property most cases; however, the grass carp has evolved very ability to attenuate perturbated sticky adhesion. The pull-down stability of roes’ discovered through results phase diagrams. mathematical analysis reveals that there plateau attenuating process, plateau’s height and width are discussed graphically, main factors affecting properties elucidated. paper offers totally new window biomechanics, especially biomimicking design chatter systems inspired roes.