向时空混沌转变的机制及有关问题研究

By using the driven/damped nonlinear drift-wave equation we studied the mechanism for the discontinuous transition from a spatially coherent state to the spatiotemporal chaotic state (STC). It is found that, in certain parameter regime, a crisis of transition to the STC can be triggered if the realized waveform evolves to a shape that coincides nearly with the 'virtual waveform' of a saddle steady wave. We call the phenomenon as a 'pattern resonance', and pointed out that it is essentially a nonlinear frequency resonance. We also found that the transition to the STC displays as a critical phenomenon in parameter space, which is related to the change of the averaged symmetry property of motion of the master mode. The 'pattern resonance' is a novel phenomenon reported for the first time, it can be significant theoretically as well as practically. Another new phenomenon we found is 'on-off collective imperfect phase ynchronization' occurring in the STC, which is responsible for the energy bursts in the STC system. The CIS may have general significance in understanding the energy bursts in turbulence such as in solar system. Besides, we demonstrated that charged particles can be accelerated tochastically in non-steady nonlinear wave fields. This provides a possible mechanism for the stochastic acceleration of charged articles. We also got some results in studying quantum chaos.

本申请探索可能导致时空混沌的不同途径和机制.对于我们已发现的激变引起的时空混沌，钊胙芯考け淞俳缡笨毯图け淝昂蟛煌刺脑硕媛桑⑼ü治銎浞植ㄐ形妊芯靠占湎喔尚云苹档脑颉Ｔて诮峁越徊窖芯客牧髌鹨蛭侍庥兄匾庖濉４送猓教址欠蠢》椒刂剖笨栈煦缭硕⒀芯苛Ｗ釉谑奔浠煦绾褪笨栈煦绯≈械氖湓斯媛伞?时空混沌机制激变控制和输运.Mechanism for spatce-time chaos crisis control&transport.