同步态与行波耦合映象格子及其倍周期级联的解析研究
An Analytical Study in Coupled Map Lattices of Synchronized States and Travelling Waves, and of their Period-Doubling Cascades
摘要：
证明了几个定理，确定同步状态（周期和混沌）的存在的充分条件，也在CML行波。并从理论上证明了上述模式的倍周期级联的存在性。任何振荡器的时间状态的完全特征。给出的结果对许多任意振子都是有效的，这些振子的动力学行为受任意C^{2}函数支配。
英文摘要：
Several theorems are demonstrated that determine the sufficient conditions for the existence of synchronized states (periodical and chaotic) and also of travelling waves in a CML. Also are analytically proven the existence of period-doubling cascades for the mentioned patterns. The temporal state of any oscillators are completely characterized. The given results are valid for a number of arbitrary oscillators whose individual dynamics is ruled by an arbitrary C^{2} function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
