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Journal articles on the topic 'Hypercycle theory'

Author: Grafiati

Published: 3 June 2025

Last updated: 22 June 2025

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1

Wang, Jue. "An Integrated Study on Risk Management and Internal Control in Chinese Private Colleges Based on Hypercycle Theory." Journal of Higher Education Teaching 1, no. 6 (2024): 260–70. https://doi.org/10.62517/jhet.202415645.

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This study explores the unique risk challenges faced by Chinese Private Colleges and investigates how Hypercycle Theory can be applied to enhance their risk management and internal control systems. The research employs qualitative methods to assess the current risk management practices and internal control mechanisms within these institutions. The study finds that private colleges in China face multiple risks, including financial instability, economic uncertainty, and market challenges, which are exacerbated by weaknesses in their existing risk management frameworks. The introduction of Hypercycle Theory, with its dynamic feedback and self-regulation features, offers a promising solution for optimizing risk management and improving internal controls. Key findings suggest that the application of this theory can help institutions respond to risks more dynamically, improve resource utilization, and enhance management efficiency. In conclusion, Hypercycle Theory provides a robust theoretical framework for strengthening the risk management capabilities and long-term sustainability of Chinese Private Colleges.

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2

Wang, Jue. "A Study on the Application of Internal Control Mechanisms in Private Universities Based on Hypercycle Theory." Occupation and Professional Education 1, no. 8 (2024): 40–49. https://doi.org/10.62381/o242807.

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This paper applies hypercycle theory to construct a dynamic and sustainable internal control mechanism for private universities, emphasizing its role in financial management, risk control, and resource allocation. The study shows that hypercycle theory effectively adapts to changes in the external environment by enabling dynamic adjustments to internal controls. The introduction of an information management platform enhances financial transparency, while a dynamic feedback mechanism strengthens risk management and optimizes resource utilization efficiency. Practical suggestions include accelerating information system development and refining risk assessment frameworks. The case study confirms the model's effectiveness, with future research suggested to expand applications to other institutions and integrate advanced technologies to further optimize internal control mechanisms.

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3

Ji, Tong, Feng Fan Zhang, and Xiao Chen Liu. "Probability Analysis on Development of Post-Urbanization Based on Hypercycle Theory." Advanced Materials Research 926-930 (May 2014): 3874–77. http://dx.doi.org/10.4028/www.scientific.net/amr.926-930.3874.

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Urbanization has become a high-end mode in terms of human settlements while has also brought about inevitable problems. How to resolve these problems is a common concern to academics, which mainly focus on reducing ecological bottlenecks arising from the process of urbanization both in city and countryside; actually, it’s hard to get satisfactory solutions for problems of urbanization only in cities. Based on the Hypercycle Theory, it can provide a theoretical basis for the realization of urban and rural co-development during urbanization, which frees researchers from an uneasy choice between urban and rural areas.

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4

Huang, Yongjian, Yaxun Bai, Wei Chen, Tianming Ning, Jinzhao Yang, and Cuiyin Yao. "Research on Student Department Work Innovation Mechanism Based on Hypercycle Theory." Open Journal of Social Sciences 11, no. 05 (2023): 50–62. http://dx.doi.org/10.4236/jss.2023.115005.

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5

Herui Cui, and Peng Tian. "Research on the Cooperative Operation Mode of Diversified Agricultural Extension Based on Hypercycle Theory." INTERNATIONAL JOURNAL ON Advances in Information Sciences and Service Sciences 5, no. 8 (2013): 1074–82. http://dx.doi.org/10.4156/aiss.vol5.issue8.126.

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6

SUN, Jiu-xia, and Shu-jia WANG. "Path deconstruction of promoting common prosperity through rural revitalization based on the hypercycle theory." JOURNAL OF NATURAL RESOURCES 38, no. 8 (2023): 1955. http://dx.doi.org/10.31497/zrzyxb.20230803.

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7

JI, FENGMIN, and LIAOFU LUO. "A Hypercycle Theory of Proliferation of Viruses and Resistance to the Viruses of Transgenic Plant." Journal of Theoretical Biology 204, no. 3 (2000): 453–65. http://dx.doi.org/10.1006/jtbi.2000.2025.

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8

HAUSKEN, KJELL, and JOHN F. MOXNES. "THE DYNAMICS OF MULTILATERAL EXCHANGE." International Journal of Modern Physics C 16, no. 04 (2005): 607–31. http://dx.doi.org/10.1142/s0129183105007376.

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The article formulates a dynamic mathematical model where arbitrarily many players produce, consume, exchange, loan, and deposit arbitrarily many goods over time to maximize utility. Consuming goods constitutes a benefit, and producing, exporting, and loaning away goods constitute a cost. Utilities are benefits minus costs, which depend on the exchange ratios and bargaining functions. Three-way exchange occurs when one player acquires, through exchange, one good from another player with the sole purpose of using this good to exchange against the desired good from a third player. Such a triple handshake is not merely a set of double handshakes since the player assigns no interest to the first good in his benefit function. Cognitive and organization costs increase dramatically for higher order exchanges. An exchange theory accounting for media of exchange follows from simple generalization of two-way exchange. The examples of r-way exchange are the triangle trade between Africa, the USA, and England in the 17th and 18th centuries, the hypothetical hypercycle involving RNAs as players and enzymes as goods, and reaction–diffusion processes. The emergence of exchange, and the role of trading agents are discussed. We simulate an example where two-way exchange gives zero production and zero utility, while three-way exchange causes considerable production and positive utility. Maximum utility for each player is reached when exchanges of the same order as the number of players in society are allowed. The article merges micro theory and macro theory within the social, natural, and physical sciences.

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9

Santos, Maria Celeste Cordeiro Leite dos, and Marilene Araujo. "Direito e Sociedade: as Estruturas e Funções da Lei no Direito Inglês." REVISTA INTERNACIONAL CONSINTER DE DIREITO 12, no. 12 (2021): 99–122. http://dx.doi.org/10.19135/revista.consinter.00012.03.

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The article “Law and Society: the structures and functions of the Law in English Law”, is the result of teaching aimed at students of the Master’s Degree in Law at the Pontifical Catholic University of São Paulo, in the first semester of 2020 – Discipline General Theory of Law I – “Law, Power and Justice: the Hyper-cycle and the Legal Order”. Its primary objective is to understand how legal rules are made and used in Common Law in its similarities and distinctions from Civil Law. Civil society (societas civilis) is opposed to “natural society” (societas naturalis), being synonymous with “Political society” (in correspondence, respectively with the derivation of civitas and polis). The study of society as a social system, its structures and macro and micro functions in the legal subsystem (according to Niklas Luhmann) is current, predominant, and will be the object of this study in Chapter I. Chapter II, aims to investigate the sources and models Common Law. Chapter III, analyzes the Hypercycle of Law and makes conjectures about Common Law. Since law is a multifaceted phenomenon and difficult to define rigorously, due to its ambiguity and syntactic imprecision in its current use in different cultures, the methodology used was Aristotelian Topic, in the focus of zetetic investigation, with constant opening for constant questioning. The Conclusions and Bibliography follow.

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10

WEINBERGER, E. "Spatial stability analysis of Eigen's quasispecies model and the less than five membered hypercycle under global population regulation." Bulletin of Mathematical Biology 53, no. 4 (1991): 623–38. http://dx.doi.org/10.1016/s0092-8240(05)80158-2.

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11

Weinberger, Edward D. "Spatial stability analysis of Eigen's quasispecies model and the less than five membered hypercycle under global population regulation." Bulletin of Mathematical Biology 53, no. 4 (1991): 623–38. http://dx.doi.org/10.1007/bf02458632.

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12

León-Saavedra, Fernando, and Alfonso Montes-Rodríguez. "Spectral theory and hypercyclic subspaces." Transactions of the American Mathematical Society 353, no. 1 (2000): 247–67. http://dx.doi.org/10.1090/s0002-9947-00-02743-4.

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13

González, Manuel, Fernando León-Saavedra, and Alfonso Montes-Rodríguez. "Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces." Proceedings of the London Mathematical Society 81, no. 1 (2000): 169–89. http://dx.doi.org/10.1112/s0024611500012454.

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14

Chan, Kit C., and Rebecca Sanders. "Hypercyclic shift factorizations for bilateral weighted shift operators." Journal of Operator Theory 85, no. 2 (2021): 323–45. http://dx.doi.org/10.7900/jot.2019jul22.2284.

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Taking the perspective that a bilateral weighted shift is an operator that shifts some two-sided canonical basic sequence of ℓp(Z), with 1⩽p<∞, we show that every bilateral weighted shift on ℓp(Z) has a factorization T=AB, where A and B are hypercyclic bilateral weighted shifts. For the case when T is invertible, both shifts A and B may be selected to be invertible as well. Moreover, we show analogous hypercyclic factorization results for diagonal operators with nonzero diagonal entries.

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15

Peris, Alfredo, and Luis Saldivia. "Syndetically Hypercyclic Operators." Integral Equations and Operator Theory 51, no. 2 (2005): 275–81. http://dx.doi.org/10.1007/s00020-003-1253-9.

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16

Bayart, Frédéric. "Common Hypercyclic Subspaces." Integral Equations and Operator Theory 53, no. 4 (2005): 467–76. http://dx.doi.org/10.1007/s00020-004-1316-6.

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17

Petersson, Henrik. "Hypercyclic Conjugate Operators." Integral Equations and Operator Theory 57, no. 3 (2006): 413–23. http://dx.doi.org/10.1007/s00020-006-1459-8.

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18

Bamerni, Nareen, and Adem Kılıçman. "Subspace-hypercyclic weighted shifts." Operators and Matrices, no. 1 (2018): 205–14. http://dx.doi.org/10.7153/oam-2018-12-13.

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19

Gupta, Manjul, and Aneesh Mundayadan. "$q$-Frequently hypercyclic operators." Banach Journal of Mathematical Analysis 9, no. 2 (2015): 114–26. http://dx.doi.org/10.15352/bjma/09-2-9.

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20

Desch, Wolfgang, and Wilhelm Schappacher. "On Products of Hypercyclic Semigroups." Semigroup Forum 71, no. 2 (2005): 301–11. http://dx.doi.org/10.1007/s00233-005-0523-z.

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21

Chen, Chung-Chuan. "Disjoint hypercyclic weighted translations on groups." Banach Journal of Mathematical Analysis 11, no. 3 (2017): 459–76. http://dx.doi.org/10.1215/17358787-2017-0001.

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22

Le�n-Saavedra, Fernando, and Vladim�r M�ller. "Rotations of Hypercyclic and Supercyclic Operators." Integral Equations and Operator Theory 50, no. 3 (2004): 385–91. http://dx.doi.org/10.1007/s00020-003-1299-8.

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23

Feldman, Nathan S. "Hypercyclic Pairs of Coanalytic Toeplitz Operators." Integral Equations and Operator Theory 58, no. 2 (2007): 153–73. http://dx.doi.org/10.1007/s00020-007-1484-2.

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24

Chan, Kit C., and Ronald D. Taylor. "Hypercyclic subspaces of a Banach space." Integral Equations and Operator Theory 41, no. 4 (2001): 381–88. http://dx.doi.org/10.1007/bf01202099.

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25

Berm�dez, Teresa, and Vivien G. Miller. "On operatorsT such thatf(T) is hypercyclic." Integral Equations and Operator Theory 37, no. 3 (2000): 332–40. http://dx.doi.org/10.1007/bf01194482.

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26

Sanders, Rebecca. "Common Hypercyclic Vectors and the Hypercyclicity Criterion." Integral Equations and Operator Theory 65, no. 1 (2009): 131–49. http://dx.doi.org/10.1007/s00020-009-1711-0.

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27

Hordijk, Wim, and Mike Steel. "Autocatalytic Networks at the Basis of Life’s Origin and Organization." Life 8, no. 4 (2018): 62. http://dx.doi.org/10.3390/life8040062.

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Life is more than the sum of its constituent molecules. Living systems depend on a particular chemical organization, i.e., the ways in which their constituent molecules interact and cooperate with each other through catalyzed chemical reactions. Several abstract models of minimal life, based on this idea of chemical organization and also in the context of the origin of life, were developed independently in the 1960s and 1970s. These models include hypercycles, chemotons, autopoietic systems, (M,R)-systems, and autocatalytic sets. We briefly compare these various models, and then focus more specifically on the concept of autocatalytic sets and their mathematical formalization, RAF theory. We argue that autocatalytic sets are a necessary (although not sufficient) condition for life-like behavior. We then elaborate on the suggestion that simple inorganic molecules like metals and minerals may have been the earliest catalysts in the formation of prebiotic autocatalytic sets, and how RAF theory may also be applied to systems beyond chemistry, such as ecology, economics, and cognition.

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28

Petersson, Henrik. "Topologies for which every nonzero vector is hypercyclic." Journal of Operator Theory 80, no. 1 (2018): 3–24. http://dx.doi.org/10.7900/jot.2017may15.2178.

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29

Bernal-Gonzalez, Luis, J. Alberto Conejero, George Costakis, and Juan B. Seoane-Sepulveda. "Multiplicative structures of hypercyclic functions for convolution operators." Journal of Operator Theory 80, no. 1 (2018): 213–24. http://dx.doi.org/10.7900/jot.2017sep27.2162.

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30

Ayadi, Adlene, Habib Marzougui та Ezzeddine Salhi. "Hypercyclic abelian subgroups of GL(n, ℝ)". Journal of Difference Equations and Applications 18, № 4 (2012): 721–38. http://dx.doi.org/10.1080/10236198.2011.582466.

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31

Miller, V. G. "Remarks on finitely hypercyclic and finitely supercyclic operators." Integral Equations and Operator Theory 29, no. 1 (1997): 110–15. http://dx.doi.org/10.1007/bf01191482.

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32

Czarnecki, Maciej. "Umbilical routes along geodesics and hypercycles in the hyperbolic space." Differential Geometry and its Applications 64 (June 2019): 47–58. http://dx.doi.org/10.1016/j.difgeo.2019.02.001.

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33

Wang, Ya, Cui Chen, and Ze-Hua Zhou. "Disjoint hypercyclic weighted pseudoshift operators generated by different shifts." Banach Journal of Mathematical Analysis 13, no. 4 (2019): 815–36. http://dx.doi.org/10.1215/17358787-2018-0039.

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34

Chaouchi, Belkacem, Marko Kostić, Stevan Pilipović, and Daniel Velinov. "f-Frequently hypercyclic $$C_{0}$$-semigroups on complex sectors." Banach Journal of Mathematical Analysis 14, no. 3 (2020): 1080–110. http://dx.doi.org/10.1007/s43037-020-00053-2.

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35

N'dao, Yahya. "Hypercyclic abelian semigroups of affine maps on $\mathbb{C}^{n}$." Banach Journal of Mathematical Analysis 9, no. 2 (2015): 83–95. http://dx.doi.org/10.15352/bjma/09-2-7.

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36

Ayadi, Adlene, and Habib Marzougui. "On multi-hypercyclic abelian semigroups of matrices on $\mathbb{R}^{n}$." Journal of Operator Theory 71, no. 2 (2014): 479–90. http://dx.doi.org/10.7900/jot.2012jun26.1981.

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37

Ya Wang and Hong-Gang Zeng. "Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces." Operators and Matrices, no. 1 (2022): 151–69. http://dx.doi.org/10.7153/oam-2022-16-14.

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38

Kuprianov, Ye. "System Relationships, Concealed in the Text of Explanatory Spanish Language Dictionary." Studia Linguistica, no. 12 (2018): 50–63. http://dx.doi.org/10.17721/studling2018.12.50-63.

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The article is devoted to the theoretical issues of developing methodology for studying systemic relations presented implicitly in the text of the explanatory dictionary of the Spanish language «Diccionario de la lengua española», 23ª edición. The methodology of the research and the formal representation of these relations are based on the theory of lexicographic systems and the theory of semantic states by NAS Academician Dr. Volodymyr Shyrokov. Based on the results of the study, the formal models are constructed for system relations such as hyperchains / hypercycles, quasi-semantics and synonymy. Characteristics and types of systemic relations are given. Hyperchains are the chains of words related to each other by the relationship “hyperоnym-hyponym”, “part-whole”, “process-result”, etc. Quasi-semantics is a property of a word to adopt its meaning from the other one from which it was derived. Quasisemantics combines both the meaning of the main word and its affix. There were twenty five definition patterns revealed in the dictionary for quasisemantic words. Synonymy is a language phenomenon, the essence of which is that the two or more lexical units, being in a certain semantic state, are able to replace each other in certain contexts. The synonyms registered in the dictionary represent not only semantic, but also pragmatic characteristics (style, domain, geographic area). In particular, synonymic couples are the following: special-purpose word / general-purpose word, general-purpose word / special-purpose word, special-purpose word / special-purpose word, colloquial word / literary word, ethnolect / common word. The research results are proposed to be used for creating various linguistic software: text processing systems, semantic analyzers, virtual lexicographic laboratories, etc.

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39

Eigen, Manfred. "The Origin of Biological Information." International Astronomical Union Colloquium 161 (January 1997): 443–53. http://dx.doi.org/10.1017/s0252921100014962.

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What is the distinguishing feature of a living system that singularizes it from every non-living chemical ensemble, regardless of the extent of the complexity? The differentiable characteristic of the living system is information. Information assures the controlled reproduction of all the constituents, thereby ensuring the conservation of viability. Information – unlike energy – is not subject to a conservation law. Hence the fundamental question behind the origin of life is: How can information originate?Information theory, which was pioneered by Claude Shannon, cannot answer this question: this theory is most successful in dealing with problems of coding and transmission. In principle, the answer was formulated 130 years ago by Charles Darwin: The information that is unique for life evolves by virtue of natural selection. Today we can be more specific: natural selection is a non-equilibrium process. It is an inherent consequence of mutagenous self-replication at several levels of organization: for instance it is evident in molecules such as nucleic acids, in molecular complexes such as viruses and in autonomous formes of life such as micro- or higher organisms. New physical concepts have been introduced in order to deal quantitatively with the dynamics of the molecular generation of genetic information. They provide a physical foundation for Darwinian behaviour, yet they introduce major modifications in its interpretation. The lecture deals with these physical concepts, such as «sequence space», «quasi-species» and «hypercycles» and will scrutinize their adequacy for rationalizing experimental results obtained with molecular model systems and with viruses under natural conditions. Elucidating the principles of molecular self-organization has made possible to construct automated machines that make it possible for genetic information to evolve under controlled conditions in an abridged time scale.

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40

Terian, Andrei. "The Poetics of the Hypercycle in Mircea Cărtărescu’s Solenoid." Life Writing, April 20, 2020, 1–18. http://dx.doi.org/10.1080/14484528.2020.1747351.

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41

Hong, Dongchen, Qiuxiao Chen, and Shuang Wu. "Urban Planning Formulation Problems in China and the Corresponding Optimization Ideas under the Vision of the Hypercycle Theory." March 1, 2014. https://doi.org/10.5281/zenodo.1091834.

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Systematic Science reveals the complex nonlinear mechanisms of behavior in urban system. However, when confronted with such system, most city planners in China are still utilizing simple linear thinking to learn and understand this open complex giant system. In this paper, the hypercycle theory was introduced, which is one of the basis theories of systematic science. Based on the analysis of the reasons for the failure of current urban planning in China, and in consideration of the nonlinear characteristics of the urban system as well, optimization ideas for urban planning formulation were presented such as the shift from blueprint planning to progressive planning and from the rigid urban planning management control to its dynamically monitor and in time feedback.

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42

Lomp, Christian, Mohamed F. Yousif, and Yiqiang Zhou. "On Hypercyclic Rings." Journal of Algebra and Its Applications, September 1, 2023. http://dx.doi.org/10.1142/s0219498825500513.

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43

Ivković, Stefan, and Seyyed Mohammad Tabatabaie. "Hypercyclic Generalized Shift Operators." Complex Analysis and Operator Theory 17, no. 5 (2023). http://dx.doi.org/10.1007/s11785-023-01376-2.

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44

Walter, Manfred. "Some Results on Chromatic Polynomials of Hypergraphs." Electronic Journal of Combinatorics 16, no. 1 (2009). http://dx.doi.org/10.37236/183.

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In this paper, chromatic polynomials of (non-uniform) hypercycles, unicyclic hypergraphs, hypercacti and sunflower hypergraphs are presented. The formulae generalize known results for $r$-uniform hypergraphs due to Allagan, Borowiecki/Łazuka, Dohmen and Tomescu. Furthermore, it is shown that the class of (non-uniform) hypertrees with $m$ edges, where $m_r$ edges have size $r$, $r\geq 2$, is chromatically closed if and only if $m\leq4$, $m_2\geq m-1$.

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45

ÇOLAKOĞLU, Nurhan, and Özgür MARTİN. "Disjoint and simultaneous hypercyclic Rolewicz-type operators." Hacettepe Journal of Mathematics and Statistics, December 31, 2021. http://dx.doi.org/10.15672/hujms.791344.

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46

Chen, Renyu, Xiang Chen, and Zehua Zhou. "Disjoint subspace-hypercyclic operators on separable Banach spaces." Annals of Functional Analysis 15, no. 2 (2024). http://dx.doi.org/10.1007/s43034-024-00322-3.

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47

Bernal-González, Luis, and Antonio Bonilla. "Total and non-total suborbits for hypercyclic operators." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117, no. 1 (2022). http://dx.doi.org/10.1007/s13398-022-01351-0.

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AbstractIn this note, it is proved that if X is a separable infinite dimensional Fréchet space that admits a continuous norm then, given a closed infinite dimensional subspace of X, there exists a hypercyclic operator admitting a dense orbit which in turn admits a suborbit all of whose sub-suborbits are total in the prescribed subspace. This is related to a recently published result asserting that every supercyclic vector for an operator on a Hilbert space supports a non-total suborbit. Here we also extend this result to normed spaces.

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48

Prajitura, Gabriel T. "The Density of the Hypercyclic Operators in the Strong Operator Topology." Integral Equations and Operator Theory 49, no. 4 (2004). http://dx.doi.org/10.1007/s00020-004-1306-8.

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49

Xu, Zhiyuan, and Zehua Zhou. "Hypercyclic exponential of the differential operator on Banach spaces related to Fock spaces." Annals of Functional Analysis 14, no. 2 (2023). http://dx.doi.org/10.1007/s43034-023-00269-x.

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