Pub Date : 2020-07-02DOI: 10.1080/1726037X.2020.1859801
M. Choudhary
Abstract L.c.q.K. manifolds were investigated by ([4], [7], [6], [8]) and antiinvariant Riemannian submersion was studied in ([10],[1]). The present note aims to work on anti-invariant and Lagrangian Riemannian submersion of locally conformal quaternion Kaehler manifolds. Further, the geometry of foliation is discussed and some decomposition results for such submersions are obtained.
{"title":"A Note on L.C.Q.K. Manifolds","authors":"M. Choudhary","doi":"10.1080/1726037X.2020.1859801","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1859801","url":null,"abstract":"Abstract L.c.q.K. manifolds were investigated by ([4], [7], [6], [8]) and antiinvariant Riemannian submersion was studied in ([10],[1]). The present note aims to work on anti-invariant and Lagrangian Riemannian submersion of locally conformal quaternion Kaehler manifolds. Further, the geometry of foliation is discussed and some decomposition results for such submersions are obtained.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"145 - 161"},"PeriodicalIF":0.9,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1859801","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44963451","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}
Pub Date : 2020-07-02DOI: 10.1080/1726037X.2020.1859802
Mohamed Elmahdi Abbes, S. Ouakkas
Abstract The purpose of this paper is to study the biharmonicity of maps to or from almost contact manifolds. It also gives some results on the Fx1-homothetic bi-warping. We establish necessary and sufficient conditions under which a map of the product of a Riemannian manifold and an almost contact metric manifold is harmonic or biharmonic and we have constructed several examples.
{"title":"On the -Homothetic BI-Warping and Biharmonic Maps","authors":"Mohamed Elmahdi Abbes, S. Ouakkas","doi":"10.1080/1726037X.2020.1859802","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1859802","url":null,"abstract":"Abstract The purpose of this paper is to study the biharmonicity of maps to or from almost contact manifolds. It also gives some results on the Fx1-homothetic bi-warping. We establish necessary and sufficient conditions under which a map of the product of a Riemannian manifold and an almost contact metric manifold is harmonic or biharmonic and we have constructed several examples.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"281 - 309"},"PeriodicalIF":0.9,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1859802","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48246625","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}
Pub Date : 2020-07-02DOI: 10.1080/1726037X.2020.1856338
M. F. Nia
Abstract This paper considers some properties in topological dynamical systems in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some results and an example is presented to compare with these notions in discrete dynamical systems. As our main result, using adding machine maps and topological conjugacy we show that chain mixing, chain transitive and chain recurrence properties in iterated function systems are equivalent.
{"title":"Chain Mixing and Chain Transitive Iterated Function Systems","authors":"M. F. Nia","doi":"10.1080/1726037X.2020.1856338","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1856338","url":null,"abstract":"Abstract This paper considers some properties in topological dynamical systems in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some results and an example is presented to compare with these notions in discrete dynamical systems. As our main result, using adding machine maps and topological conjugacy we show that chain mixing, chain transitive and chain recurrence properties in iterated function systems are equivalent.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"211 - 221"},"PeriodicalIF":0.9,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1856338","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45949703","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}
Pub Date : 2020-07-02DOI: 10.1080/1726037X.2020.1856340
A. Mesón, F. Vericat
Abstract Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.
{"title":"Weighted Equilibrium States at Zero Temperature","authors":"A. Mesón, F. Vericat","doi":"10.1080/1726037X.2020.1856340","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1856340","url":null,"abstract":"Abstract Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"241 - 259"},"PeriodicalIF":0.9,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1856340","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48853302","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}
Pub Date : 2020-07-02DOI: 10.1080/1726037X.2020.1847766
T. T. Devi, K. B. Mangang
Abstract In this paper, equicontinuity, transitivity, minimality, sensitivity, and distality of iterated function systems(IFS) have been discussed. The equicontinuity, almost equicontinuity, and distality of an IFS have been defined and some relevant results have been introduced and proved. The transitivity, minimality, and sensitivity of an IFS F have been investigated when each of the constituent maps fλ has these properties and vice versa. It has been found that the IFS has these properties if at least one of the constituent maps fλ has these properties but the converse statements are not true. We give counterexamples to support that the converse statements are not true. It has also been shown that an IFS F is distal if and only if the constituent maps fλ are distal.
{"title":"On Equicontinuity, Transitivity and Distality of Iterated Function Systems","authors":"T. T. Devi, K. B. Mangang","doi":"10.1080/1726037X.2020.1847766","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1847766","url":null,"abstract":"Abstract In this paper, equicontinuity, transitivity, minimality, sensitivity, and distality of iterated function systems(IFS) have been discussed. The equicontinuity, almost equicontinuity, and distality of an IFS have been defined and some relevant results have been introduced and proved. The transitivity, minimality, and sensitivity of an IFS F have been investigated when each of the constituent maps fλ has these properties and vice versa. It has been found that the IFS has these properties if at least one of the constituent maps fλ has these properties but the converse statements are not true. We give counterexamples to support that the converse statements are not true. It has also been shown that an IFS F is distal if and only if the constituent maps fλ are distal.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"223 - 239"},"PeriodicalIF":0.9,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1847766","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44545232","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}
Pub Date : 2020-01-02DOI: 10.1080/1726037X.2020.1794142
P. Majhi, A. Biswas
Abstract The aim of the present paper is to study slant magnetic curves, magnetic curves and biharmonic curves on a 3-dimensional f -Kenmotsu mani- fold. Next we deal with curve for which tangent vector of the curve is parallel to ξ. Also we characterize ξ-vertical hypersurface in a 3-dimensional f -Kenmotsu manifold.
{"title":"Certain Curves Associated with f -Kenmotsu Manifolds","authors":"P. Majhi, A. Biswas","doi":"10.1080/1726037X.2020.1794142","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1794142","url":null,"abstract":"Abstract The aim of the present paper is to study slant magnetic curves, magnetic curves and biharmonic curves on a 3-dimensional f -Kenmotsu mani- fold. Next we deal with curve for which tangent vector of the curve is parallel to ξ. Also we characterize ξ-vertical hypersurface in a 3-dimensional f -Kenmotsu manifold.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"39 - 51"},"PeriodicalIF":0.9,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1794142","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46205648","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}
Pub Date : 2020-01-02DOI: 10.1080/1726037X.2020.1779972
Mona Effati, A. Z. Bahabadi, B. Honary
Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.
{"title":"Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems","authors":"Mona Effati, A. Z. Bahabadi, B. Honary","doi":"10.1080/1726037X.2020.1779972","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1779972","url":null,"abstract":"Abstract In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f 1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f 1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"71 - 80"},"PeriodicalIF":0.9,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1779972","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43968329","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}
Pub Date : 2020-01-02DOI: 10.1080/1726037X.2020.1774155
H. Attarchi, B. Bidabad, S. M. K. Torbaghan, Mohammad Khosravi
Abstract The problem of tracking and navigation towards a moving target is always one of the main topics in robotics. In this paper, following our recent work in the plane, a novel on-line strategy is used to guide a pursuer in space. This strategy is called hybrid pursuit navigation and it is a combination of two well-known pursuit algorithms the pure-pursuit and the pure-rendezvous navigation. To show the reliability of this new method, it is proved that the pursuer reaches the target under the hybrid pursuit navigation. Moreover, by simulating different scenarios, the advantage of this algorithm is demonstrated in comparison with two well-known algorithms.
{"title":"Towards a Novel Family of Algorithms in Pursuit Navigation","authors":"H. Attarchi, B. Bidabad, S. M. K. Torbaghan, Mohammad Khosravi","doi":"10.1080/1726037X.2020.1774155","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1774155","url":null,"abstract":"Abstract The problem of tracking and navigation towards a moving target is always one of the main topics in robotics. In this paper, following our recent work in the plane, a novel on-line strategy is used to guide a pursuer in space. This strategy is called hybrid pursuit navigation and it is a combination of two well-known pursuit algorithms the pure-pursuit and the pure-rendezvous navigation. To show the reliability of this new method, it is proved that the pursuer reaches the target under the hybrid pursuit navigation. Moreover, by simulating different scenarios, the advantage of this algorithm is demonstrated in comparison with two well-known algorithms.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"15 - 26"},"PeriodicalIF":0.9,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1774155","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45272074","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}
Pub Date : 2020-01-02DOI: 10.1080/1726037X.2020.1774157
Aiyong Chen, Huiyang Zhang
Abstract In this article, we consider the near-Hamiltonian system where a < 0, 0 < |ε| << 1, f (x, y) and g(x, y) are polynomials of degree n ( n = 2 m , m ≥ 3, m ∈ N ). The number of isolated zeros of the corresponding Abelian integral for h ∈ is estimated.
{"title":"The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop","authors":"Aiyong Chen, Huiyang Zhang","doi":"10.1080/1726037X.2020.1774157","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1774157","url":null,"abstract":"Abstract In this article, we consider the near-Hamiltonian system where a < 0, 0 < |ε| << 1, f (x, y) and g(x, y) are polynomials of degree n ( n = 2 m , m ≥ 3, m ∈ N ). The number of isolated zeros of the corresponding Abelian integral for h ∈ is estimated.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"109 - 97"},"PeriodicalIF":0.9,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1774157","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42880479","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}
Pub Date : 2020-01-02DOI: 10.1080/1726037X.2020.1774159
A. Mesón, F. Vericat
Abstract In a previous article [JDSGT 17, 267-295, 2019] we have extended to countable shifts the notion of multifractal pressure previously introduced by Olsen [J. d′ Analyse Math 131, 207–253, 2017]. This kind of pressure is defined by considering in the ”partition function” only those configurations which are ”multifractally relevant”. In this article we continue working in this direction and consider a pressure of this nature, but for suspension flows over countable shifts.
摘要在上一篇文章[JDSGT 17267-2952019]中，我们将Olsen之前引入的多重分形压力的概念[J.d′Analyze Math 131207–2532017]扩展到了可数位移。这种压力是通过在“配分函数”中只考虑那些“多重分形相关”的配置来定义的。在这篇文章中，我们继续朝着这个方向工作，并考虑这种性质的压力，但对于可数位移上的悬浮流。
{"title":"On a Multifractal Pressure for Suspension Flows","authors":"A. Mesón, F. Vericat","doi":"10.1080/1726037X.2020.1774159","DOIUrl":"https://doi.org/10.1080/1726037X.2020.1774159","url":null,"abstract":"Abstract In a previous article [JDSGT 17, 267-295, 2019] we have extended to countable shifts the notion of multifractal pressure previously introduced by Olsen [J. d′ Analyse Math 131, 207–253, 2017]. This kind of pressure is defined by considering in the ”partition function” only those configurations which are ”multifractally relevant”. In this article we continue working in this direction and consider a pressure of this nature, but for suspension flows over countable shifts.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"131 - 144"},"PeriodicalIF":0.9,"publicationDate":"2020-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1774159","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48509309","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}
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