1) sub-harmonic solution with large amplitude
大振幅次调和解
2) subharmonic solution with small amplitude
小振幅次调和解
3) subharmonic solutions
次调和解
1.
Periodic and Subharmonic Solutions of a Class of Superquadratic Hamiltonian Systems;
一类“超二次”Hamilton系统的周期解和次调和解
2.
Some existence theorems are obtained for subharmonic solutions of a class of local non-quadratic Hamiltonian systems by using minmax methods.
运用极小极大方法得到一类局部非二次的Hamilton系统的次调和解的存在性定理。
3.
The subharmonic solutions of the system can be obtained by using Mountain Pass Lemma.
对每个k∈N,利用山路引理的一个变形,可以证明上述系统存在非平凡的2kT-周期解(即次调和解)。
4) subharmonic solution
次调和解
1.
The existence of harmonic solution and infinitely many subharmonic solutions for Duffing equation x″+g(x)=p(t) are proved.
摘要:证明了Duffing方程x″+g(x)=p(t)的调和解及无穷多的次调和解的存在性,其中g′(x)是奇函数,满足g'(x)>0且limfor(x→+∞)g(x)=a>0,周期为2π的连续函数p(t)满足｜p(t)｜
2.
An existence theorem is obtained for infinitely distinct subharmonic solutions of a class of nonautonomous superquadratic homogeneous second order Hamiltonian systems by the constrained minimizing methods.
用约束极小化方法得到了一类非自治超二次齐次二阶Hamiltonian系统无穷多个不同的次调和解的存在性。
3.
Bifurcations of subharmonic solutions of order m of a planar periodic perturbed system near a hyperbolic limit cycle are discussed.
研究了一给定平面自治系统的双曲极限环在周期扰动下m阶次调和解的分支问题 ,用Poincar啨映射 ,通过变尺度方法 ,获得了判别m阶次调和解的存在条件 ,最后给出了一个实
5) ultrasubharmonic solution
超次调和解
1.
It is shown that in some parameter regions the systems exhibit harmonic solution bifurcation,subharmonic solution bifurcation,ultraharmonic solution bifurcation and ultrasubharmonic solution bifurcation.
详细研究了具有限时滞Liénard方程在经历Hopf分支时,小周期扰动对系统的影响,主要讨论了扰动频率与Hopf分支固有频率在共振、次调和共振、超调和共振和超次调和共振的情形,结果表明:在某些参数区域内,系统存在调和解分支、次调和解分支、超调和解分支和超次调和解分支,并且讨论了分支解的稳定性。
6) brake subharmonic solution
次调和闸解
1.
In this paper, we consider two problems of the Hamiltonian systems: the problem of the existence of nontrivial solutions and the property of the L (or (L\', L "))-Maslov type index for the Hamiltonian systems with Lagrangian boundary conditions and the problem of the brake subharmonic solutions for the first order non-autonomous Hamiltonian systems.
本文研究Hamilton系统的两类问题:具有Lagrange边值的Hamilton系统的非平凡解的存在性及该解的L(或者(L\',L"))-Maslov型指标性质的问题和一阶非自治的Hamilton系统的次调和闸解的问题。
补充资料：临江仙 次解东庵学士咏梅韵
【诗文】：
闻说东庵梅最好，何须远访西湖。金衣相映玉肌肤。幽香俱可爱，颜色不妨殊。花主惜春仍好事，作诗清似林逋。冰＊雪萼正敷腴。只愁无客至，那怕酒须沽。
【注释】：
【出处】：
闻说东庵梅最好，何须远访西湖。金衣相映玉肌肤。幽香俱可爱，颜色不妨殊。花主惜春仍好事，作诗清似林逋。冰＊雪萼正敷腴。只愁无客至，那怕酒须沽。
【注释】：
【出处】：
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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