spatially homogeneous

基本解释

By making use of formal series expansion, we prove that for their spatially homogeneous global solutions, a slight perturbation of initial values would lead to blow-up in finite time.
利用形式级数展开的方法，得到全局解在微小扰动下，导致解在有限时间内爆破，并对爆破时间进行了估计。
Numerical simulations show that the spatially extended system has the homogeneous stationary states, the traveling wave solutions and the spatiotemporal chaos states with the change of its parameters.
数值模拟表明，随着参数的改变，空间扩展系统由均匀稳态、行波解向时空混沌演化。