一类一维映射微分方程的稳定性
Stability of differential equations associated with a class of one dimensional maps
摘要:
通过截断时间演化算子的泰勒级数展开到有限阶N,将一维映射的离散时间演化嵌入到连续时间中。N > 4的截断导致无条件不稳定性。对N = 3和4的截断模型的推广表明了参数空间充满的系统的动力学行为特征。
英文摘要:
Discrete time evolution of one-dimensional maps is embedded in continuous time by truncating the Taylor series expansion of the time evolution operator to a finite order N. Truncations with N > 4 leads to unconditional instability. Generalization of the truncated models with N = 3 and 4 shows dynamical behaviour characteristic of systems with a riddled parameter space.
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