Chaos Analysis and Synchronization Control of Coronary Artery Systems

Table 4

Operation in the 𝐾 domain with 𝑀(𝑘)=𝐻^𝑘/𝑘!, 𝑞(𝑡)=1.

Operator
Spectrum 𝑋(𝑘)	𝑋(𝑘)=𝐻^𝑘𝜕𝑘!^𝑘𝑥(𝑡)𝜕𝑡^𝑘𝑡=0
Function 𝑥(𝑡)	𝑥(𝑡)=∑^𝑘𝑙=0𝑋(𝑘)𝑡𝐻^𝑘
Convolution	𝑋(𝑘)⊗𝑌(𝑘)=∑^𝑘𝑙=0𝑋(𝑙)𝑌(𝑘−𝑙)
Derivative	∧(𝑘)=𝑘+1𝐻𝑋(𝑘+1)