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Limit cycles of linear vector fields on(𝕊2)m× ℝn (𝕊2)mx∈n上线性向量场的极限环
IF 0.6 3区 数学 Q2 MATHEMATICS Pub Date : 2023-07-26 DOI: 10.2140/pjm.2023.324.249
Clara Cufí-Cabré, J. Llibre
It is well known that linear vector fields defined in (cid:82) n cannot have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We study the existence of limit cycles bifurcating from a continuum of periodic orbits of linear vector fields on manifolds of the form ( (cid:83) 2 ) m × (cid:82) n when such vector fields are perturbed inside the class of all linear vector fields. The study is done using averaging theory. We also present an open problem about the maximum number of limit cycles of linear vector fields on ( (cid:83) 2 ) m × (cid:82) n .
众所周知,在(cid:82) n中定义的线性向量场不可能有极限环,但在其他流形中定义的线性向量场则不是这样。研究了形式为((cid:83) 2) m × (cid:82) n的流形上由线性向量场周期轨道连续体分叉的极限环的存在性,当这些向量场在所有线性向量场的类内被摄动时。这项研究是用平均理论完成的。我们也给出了((cid:83) 2) m × (cid:82) n上线性向量场的最大极限环数的一个开放问题。
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引用次数: 0
Spike solutions for a fractional elliptic equation in a compact Riemannian manifold 紧致黎曼流形中分数椭圆方程的Spike解
IF 0.6 3区 数学 Q2 MATHEMATICS Pub Date : 2023-06-22 DOI: 10.2140/pjm.2023.324.1
Imene Bendahou, Zied Khemiri, F. Mahmoudi
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引用次数: 0
Art Therapy for Children in Short-Term Hospitalization. 为短期住院儿童提供艺术疗法。
IF 0.7 3区 数学 Q2 MATHEMATICS Pub Date : 2023-06-15 eCollection Date: 2023-01-01 DOI: 10.5334/cie.63
Meirav Hen

Pediatric hospitalization is known to be associated with adverse developmental and psychosocial outcomes for young patients. Art therapy is a direct means of addressing the emotional world of the hospitalized child. However, the hospital setting sometimes requires adaptations of this practice to a short-term mode. To explore the characteristics of the adjusted short-term art therapy mode, 10 experienced art therapists who work with hospitalized children were interviewed. Results highlighted the unique aspects of working with children who enter short-term hospitalization, addressing the unknown but most likely brief duration of art therapy and the issues involved, such as the need to use problem-focused strategies, the diffused therapeutic space, interaction with a multidisciplinary staff, and parent's presence during the therapy session. Integrating the principles of art therapy with the principles of short-term therapy, this paper explores a model for carrying out short-term art therapy with children undergoing short hospitalization.

众所周知,儿科住院治疗会对小患者的发育和心理造成不良影响。艺术疗法是解决住院儿童情感世界问题的直接手段。然而,医院环境有时需要将这种做法调整为短期模式。为了探索调整后的短期艺术治疗模式的特点,我们采访了 10 位经验丰富的艺术治疗师,他们都曾为住院儿童工作过。访谈结果凸显了与短期住院儿童合作的独特之处,解决了艺术治疗时间未知但很可能很短的问题,如需要使用以问题为中心的策略、分散的治疗空间、与多学科工作人员的互动以及治疗过程中家长的在场等问题。本文将艺术疗法的原则与短期疗法的原则相结合,探索了一种针对短期住院儿童开展短期艺术疗法的模式。
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引用次数: 0
Loewner chains applied to g-starlike mappingsof complex order of complex Banach spaces Loewer链在复Banach空间复阶g-星形映射中的应用
IF 0.6 3区 数学 Q2 MATHEMATICS Pub Date : 2023-06-02 DOI: 10.2140/pjm.2023.323.401
Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang
This paper is devoted to studying geometric and analytic properties of g - starlike mappings of complex order λ . By using Loewner chains, we obtain the growth theorems for g -starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr. As applications, several different kinds of distortion theorems for g -starlike mappings of complex order λ are obtained. Finally, we prove that the Roper–Suffridge extension operators preserve the property of g -starlike mappings of complex order λ in complex Banach spaces, which generalizes many classical results.
本文研究复阶λ的g -星形映射的几何性质和解析性质。利用Loewner链,得到了自反复Banach空间中单位球上复阶λ的g -星形映射的生长定理,推广了Graham、Hamada和Kohr的一些结果。作为应用,得到了复阶λ的g -星形映射的几种不同的畸变定理。最后,我们证明了复Banach空间中复阶λ的g -星形映射的Roper-Suffridge扩展算子保持其性质,推广了许多经典结果。
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引用次数: 0
Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities 与孤立奇点相关的局部k- Hessian代数的负权导数的不存在性
3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.129
Guorui Ma, Stephen S.-T. Yau, Huaiqing Zuo
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引用次数: 0
Rigidity of 3D spherical caps via μ-bubbles μ气泡三维球帽的刚度
3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.89
Yuhao Hu, Peng Liu, Yuguang Shi
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引用次数: 0
The structure of the unramified abelian Iwasawa module of some number fields 若干数域的非分枝阿贝尔Iwasawa模的结构
3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.173
Ali Mouhib
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引用次数: 0
Combinatorial properties of nonarchimedean convex sets 非阿基米德凸集的组合性质
3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.1
Chernikov, Artem, Mennen, Alex
We study combinatorial properties of convex sets over arbitrary valued fields. We demonstrate analogs of some classical results for convex sets over the reals (e.g. the fractional Helly theorem and B'ar'any's theorem on points in many simplices), along with some additional properties not satisfied by convex sets over the reals, including finite breadth and VC-dimension. These results are deduced from a simple combinatorial description of modules over the valuation ring in a spherically complete valued field.
研究了任意值域上凸集的组合性质。我们证明了实上凸集的一些经典结果的类似(例如分数Helly定理和许多简单点上的B'ar'any定理),以及实上凸集不满足的一些附加性质,包括有限宽度和vc维。这些结果是由球完全值域上估值环上的模的简单组合描述推导出来的。
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引用次数: 2
The classification of nondegenerate uniconnected cycle sets 非退化单连通循环集的分类
3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.205
Wolfgang Rump
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引用次数: 0
On homology theories of cubical digraphs 关于三次有向图的同调理论
IF 0.6 3区 数学 Q2 MATHEMATICS Pub Date : 2023-05-03 DOI: 10.2140/pjm.2023.322.39
A. Grigor’yan, Y. Muranov
. We prove the equivalence of the singular cubical homology and the path homology on the category of cubical digraphs. As a corollary we obtain a new relation between the singular cubical homology of digraphs and simplicial homology.
证明了在三次有向图范畴上的奇异三次同调与路径同调的等价性。作为推论,我们得到了有向图的奇异立方同调与单纯同调之间的一个新关系。
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引用次数: 0
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Pacific Journal of Mathematics
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