Far East Journal of Dynamical Systems最新文献

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FINITE TIME BLOW-UP IN A MATHEMATICAL MODEL OF SUB-ATOMIC PARTICLE OSCILLATIONS 亚原子粒子振荡数学模型的有限时间爆破
Far East Journal of Dynamical Systems Pub Date : 2018-10-11 DOI: 10.17654/DS030030077
I. Ncube
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引用次数: 0
METHOD OF MODAL SYNTHESIS IN THE DYNAMICS OF A DEFORMABLE SPATIAL STRUCTURE 可变形空间结构动力学中的模态综合方法
Far East Journal of Dynamical Systems Pub Date : 2018-10-11 DOI: 10.17654/ds030030103
Moussa Sylla, Saraka Jean Modeste Kouassi
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引用次数: 1
ENTROPY OF A SEMI-FLOW FOR RECURRENCE TIME 半流的熵随循环时间的变化
Far East Journal of Dynamical Systems Pub Date : 2018-10-10 DOI: 10.17654/DS030020059
Wei Wang
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引用次数: 0
ON ENTROPIES AND COMPLEXITY FOR AMENABLE ACTIONS GROUPS 可服从行动组的熵和复杂度
Far East Journal of Dynamical Systems Pub Date : 2018-10-10 DOI: 10.17654/ds030020037
A. Mesón, F. Vericat
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引用次数: 0
PERMANENCE AND GLOBAL STABILITY ANALYSIS OF A DELAYED THREE SPECIES PREDATOR-PREY MODEL WITH COOPERATION AMONG PREYS 时滞三种捕食者-猎物合作模型的持久性和全局稳定性分析
Far East Journal of Dynamical Systems Pub Date : 2018-08-31 DOI: 10.17654/ds030010011
S. Kundu, S. Maitra
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引用次数: 0
NEW EXACT SOLUTIONS AND KIND WAVE EXCITATIONS OF THE (2+1)-DIMENSIONAL DISSIPATIVE ZABOLOTSKAYA-KHOKHLOV EQUATION (2+1)维耗散zabolotskaya-khokhlov方程的新精确解和一类波激励
Far East Journal of Dynamical Systems Pub Date : 2018-08-31 DOI: 10.17654/ds030010027
Dan Zhuang, Songhua Ma
{"title":"NEW EXACT SOLUTIONS AND KIND WAVE EXCITATIONS OF THE (2+1)-DIMENSIONAL DISSIPATIVE ZABOLOTSKAYA-KHOKHLOV EQUATION","authors":"Dan Zhuang, Songhua Ma","doi":"10.17654/ds030010027","DOIUrl":"https://doi.org/10.17654/ds030010027","url":null,"abstract":"","PeriodicalId":330387,"journal":{"name":"Far East Journal of Dynamical Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134100540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
COMPLEX WAVE EXCITATIONS OF THE (2+1) -DIMENSIONAL BOITI-LEON-PEMPINELLI SYSTEM (2+1)维boi - leon - pempinelli系统的复波激发
Far East Journal of Dynamical Systems Pub Date : 2018-08-31 DOI: 10.17654/ds030010001
Liping Gong, Songhua Ma
{"title":"COMPLEX WAVE EXCITATIONS OF THE (2+1) -DIMENSIONAL BOITI-LEON-PEMPINELLI SYSTEM","authors":"Liping Gong, Songhua Ma","doi":"10.17654/ds030010001","DOIUrl":"https://doi.org/10.17654/ds030010001","url":null,"abstract":"","PeriodicalId":330387,"journal":{"name":"Far East Journal of Dynamical Systems","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123910339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DEGREE, MIXING, AND ABSOLUTELY CONTINUOUS SPECTRUM OF COCYCLES WITH VALUES IN COMPACT LIE GROUPS 紧李群中带值环的度、混合和绝对连续谱
Far East Journal of Dynamical Systems Pub Date : 2016-05-13 DOI: 10.17654/DS030040135
R. T. Aldecoa
{"title":"DEGREE, MIXING, AND ABSOLUTELY CONTINUOUS SPECTRUM OF COCYCLES WITH VALUES IN COMPACT LIE GROUPS","authors":"R. T. Aldecoa","doi":"10.17654/DS030040135","DOIUrl":"https://doi.org/10.17654/DS030040135","url":null,"abstract":"We consider skew products $$T_phi:Xtimes Gto Xtimes G,~~(x,g)mapsto(F_1(x),g;!phi(x)),$$ where $X$ is a compact manifold with probability measure, $G$ a compact Lie group with Lie algebra $frak g$, $F_1:Xto X$ the time-one map of a measure-preserving flow, and $phiin C^1(X,G)$ a cocycle. Then, we define the degree of $phi$ as a suitable function $P_phi M_phi:Xtofrak g$, we show that it transforms in a natural way under Lie group homomorphisms and under the relation of $C^1$-cohomology, and we explain how it generalises previous definitions of degree of a cocycle. For each finite-dimensional irreducible representation $pi$ of $G$, and $frak g_pi$ the Lie algebra of $pi(G)$, we define in an analogous way the degree of $picircphi$ as a suitable function $P_{picircphi}M_{picircphi}:Xtofrak g_pi$. If $F_1$ is uniquely ergodic and the functions $picircphi$ diagonal, or if $T_phi$ is uniquely ergodic, then the degree of $phi$ reduces to a constant in $frak g$ given by an integral over $X$. As a by-product, we obtain that there is no uniquely ergodic skew product $T_phi$ with nonzero degree if $G$ is a connected semisimple compact Lie group. \u0000Next, we show that $T_phi$ is mixing in the orthocomplement of the kernel of $P_{picircphi}M_{picircphi}$, and under some additional assumptions we show that $U_phi$ has purely absolutely continuous spectrum in that orthocomplement if $(iP_{picircphi}M_{picircphi})^2$ is strictly positive. Summing up these results for each $pi$, one obtains a global result for the mixing and the absolutely continuous spectrum of $T_phi$. As an application, we present four explicit cases: when $G$ is a torus, $G=SU(2)$, $G=SO(3,mathbb R)$, and $G=U(2)$. In each case, the results we obtain are new, or generalise previous results. \u0000Our proofs rely on new results on positive commutator methods for unitary operators.","PeriodicalId":330387,"journal":{"name":"Far East Journal of Dynamical Systems","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132143292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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