Kestabilan sebuah sistem yang integ

Kestabilan sebuah sistem yang integrabel disekitar titik tetap dapat dipelajari dari keberadaan integralnya. Dan konsep kestabilan yang dapat dipakai untuk sistem yang integrabel satu diantaranya kestabilan Liapunov (lihat [5]). Oleh karena itu, untuk sistem yang dibahas dalam paper ini kami menggunakan konsep kestabilan Liapunov untuk memeriksa kestabilan titik tetapnya.
Pertimbangkan sistem dinamik (13). Perhatikan bahwa matriks Hessian disekitar titik tetap (x ∗ , y ∗ ) = (±1, ±1) dapat ditulis sebagai

Hasil (Inggris) 1:

The stability of a system that integrabel around the fixed point can be learned of the existence of integralnya. And the concept of stability which can be used for systems in which one of them integrabel the stability of Liapunov (see [5]). Therefore, for the system discussed in this paper we use the concept of Liapunov stability to check the stability of the fixed point. Consider a dynamical system (13). Note that the Hessian matrix of the immediate vicinity of a fixed point (x, y ∗ ∗) = (±1, ±1) can be written as

Hasil (Inggris) 2:

The stability of a system that integrabel around fixed points can be learned of the existence of the integral. And the concept of stability that can be used for system stability Liapunov integrabel one of them (see [5]). Therefore, for the system discussed in this paper we use the concept of Liapunov stability to check the stability of the fixed point.
Consider the dynamic system (13). Note that the Hessian matrix around a fixed point (x *, y *) = (± 1, ± 1) can be written as