Figure 6 The stability of the order-1 periodic solution of system ( 2 ).
Then the stability of the order-1 periodic solution is discussed by the Poincaré criterion for impulsive differential equations.
In addition, sufficient conditions of the stability of the order-1 periodic solution is obtained by analogy of the Poincaré criterion.
By first using the successor function method and differential equation geometry theory, the existence, uniqueness and asymptotic stability of the order-1 periodic solution are discussed.
In Section 3, the existence, uniqueness and asymptotic stability of the order-1 periodic solution of system (2) are mainly discussed under some conditions.
Secondly, we prove the stability of the order-one periodic solution by imitating the theory of the limit cycle of an ordinary differential equation.
Meanwhile, the existence, uniqueness and stability of the order-1 periodic solution are proved by using the method of successor functions and differential equation geometry theory.
Consequently, the global stability of the order-1 limit cycle of model (2.2) can be obtained, which improved on previous results on models with state-dependent feedback control [1, 4].
Based on different parameter spaces defined in Table 3, the proof of the global stability of the order-1 limit cycle with respect to the basic phase set is possible, and our results show that the local stability of an order-1 limit cycle indicates the global stability for case (SC123).
Reducing the radius of the nanofiber to below 2 nm lowers the stability of the ordered phase, so that even at zero temperature the ferroelectric order quickly diminishes, while at room temperature the relaxation times become very short.
