南昌大学学报（理科版）
南昌大學學報（理科版）
남창대학학보（이과판）
JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
2009年
5期
476-480
,共5页
时滞%共振%惯性项%余维二分岔
時滯%共振%慣性項%餘維二分岔
시체%공진%관성항%여유이분차
time delay%resonate%inertial item%codimension two bifurcation
研究惯性时滞神经网络系统的共振余维二分岔,讨论了时滞的变化对系统余维二分岔的影响.利用Hopf分岔定理获得了系统余维二分岔存在的充要条件,借助中心流形定理和正规型理论约化了系统,从理论上分析了共振余维二分岔在平衡点附近的动力学行为,以及由此引发的分岔周期解的方向以及稳定性条件,最后通过实验仿真验证了理论分析的正确性.
研究慣性時滯神經網絡繫統的共振餘維二分岔,討論瞭時滯的變化對繫統餘維二分岔的影響.利用Hopf分岔定理穫得瞭繫統餘維二分岔存在的充要條件,藉助中心流形定理和正規型理論約化瞭繫統,從理論上分析瞭共振餘維二分岔在平衡點附近的動力學行為,以及由此引髮的分岔週期解的方嚮以及穩定性條件,最後通過實驗倣真驗證瞭理論分析的正確性.
연구관성시체신경망락계통적공진여유이분차,토론료시체적변화대계통여유이분차적영향.이용Hopf분차정리획득료계통여유이분차존재적충요조건,차조중심류형정리화정규형이론약화료계통,종이론상분석료공진여유이분차재평형점부근적동역학행위,이급유차인발적분차주기해적방향이급은정성조건,최후통과실험방진험증료이론분석적정학성.
It studied the resonate codimension two bifurcation in an inertial two-neuron system with time delay,and discussed the influence to the system by the time delay.A sufficient and necessary condition for the existence of codimension two bifurcation is obtained via Hopf bifurcation theorem.With aid of center manifold theorem and the normal form theory,the system is reduced to the center manifold,then the dynamic behavior in the vicinity of the resonate double Hopf bifurcation,including the direction of Hopf bifurcation and stability of bifurcating periodic solution,is investigated.The analytical results are found to be in good agreement with results obtained by the numerical simulations.
