# stability of (0,0) critical point

$$text {The critical point (0,0) for the system}$$

$$x (t)$$=$$x-2y + y ^ {2} sin (x)$$

$$y & # 39; (t)$$=$$2x-2y-3y cos (y ^ {2})$$

$$text {is}}$$

• $$text {stable spiral point}$$
• $$text {unstable spiral point}$$
• $$text {saddle stitch}$$
• $$text {stable point}$$