中国物理B ›› 2023, Vol. 32 ›› Issue (7): 74501-074501.doi: 10.1088/1674-1056/ac9cbe
Peng Wang(王鹏)†
Peng Wang(王鹏)†
摘要: Noether theorem is applied to a variable order fractional multiscale mechano-electrophysiological model of neuron membrane dynamics. The variable orders fractional Lagrange equation of a multiscale mechano-electrophysiological model of neuron membrane dynamics is given. The variable orders fractional Noether symmetry criterion and Noether conserved quantities are given. The forms of variable orders fractional Noether conserved quantities corresponding to Noether symmetry generators solutions of the model under different conditions are discussed in detail, and it is found that the expressions of variable orders fractional Noether conserved quantities are closely dependent on the external nonconservative forces and material parameters of the neuron.
中图分类号: (Lagrangian and Hamiltonian mechanics)