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Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems 分数阶超混沌和混沌系统投影的降阶反同步
Central European Journal of Physics Pub Date : 2013-12-19 DOI: 10.2478/s11534-013-0310-5
M. Srivastava, S. Agrawal, Subir Das
{"title":"Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems","authors":"M. Srivastava, S. Agrawal, Subir Das","doi":"10.2478/s11534-013-0310-5","DOIUrl":"https://doi.org/10.2478/s11534-013-0310-5","url":null,"abstract":"The article aims to study the reduced-order anti-synchronization between projections of fractional order hyperchaotic and chaotic systems using active control method. The technique is successfully applied for the pair of systems viz., fractional order hyperchaotic Lorenz system and fractional order chaotic Genesio-Tesi system. The sufficient conditions for achieving anti-synchronization between these two systems are derived via the Laplace transformation theory. The fractional derivative is described in Caputo sense. Applying the fractional calculus theory and computer simulation technique, it is found that hyperchaos and chaos exists in the fractional order Lorenz system and fractional order Genesio-Tesi system with order less than 4 and 3 respectively. The lowest fractional orders of hyperchaotic Lorenz system and chaotic Genesio-Tesi system are 3.92 and 2.79 respectively. Numerical simulation results which are carried out using Adams-Bashforth-Moulton method, shows that the method is reliable and effective for reduced order anti-synchronization.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"4 1","pages":"1504-1513"},"PeriodicalIF":0.0,"publicationDate":"2013-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85965846","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
Diffusion problems on fractional nonlocal media 分数阶非局部介质上的扩散问题
Central European Journal of Physics Pub Date : 2013-12-19 DOI: 10.2478/s11534-013-0323-0
A. Sapora, P. Cornetti, A. Carpinteri
{"title":"Diffusion problems on fractional nonlocal media","authors":"A. Sapora, P. Cornetti, A. Carpinteri","doi":"10.2478/s11534-013-0323-0","DOIUrl":"https://doi.org/10.2478/s11534-013-0323-0","url":null,"abstract":"In this paper, the nonlocal diffusion in one-dimensional continua is investigated by means of a fractional calculus approach. The problem is set on finite spatial domains and it is faced numerically by means of fractional finite differences, both for what concerns the transient and the steady-state regimes. Nonlinear deviations from classical solutions are observed. Furthermore, it is shown that fractional operators possess a clear physical-mechanical meaning, representing conductors, whose conductance decays as a power-law of the distance, connecting non-adjacent points of the body.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"85 1","pages":"1255-1261"},"PeriodicalIF":0.0,"publicationDate":"2013-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74531239","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: 9
Self-regulating genes. Exact steady state solution by using Poisson representation 自我调节的基因。用泊松表示的精确稳态解
Central European Journal of Physics Pub Date : 2013-12-13 DOI: 10.2478/s11534-014-0497-0
I. Sugár, I. Simon
{"title":"Self-regulating genes. Exact steady state solution by using Poisson representation","authors":"I. Sugár, I. Simon","doi":"10.2478/s11534-014-0497-0","DOIUrl":"https://doi.org/10.2478/s11534-014-0497-0","url":null,"abstract":"Systems biology studies the structure and behavior of complex gene regulatory networks. One of its aims is to develop a quantitative understanding of the modular components that constitute such networks. The self-regulating gene is a type of auto regulatory genetic modules which appears in over 40% of known transcription factors in E. coli. In this work, using the technique of Poisson Representation, we are able to provide exact steady state solutions for this feedback model. By using the methods of synthetic biology (P.E.M. Purnick and Weiss, R., Nature Reviews, Molecular Cell Biology, 2009, 10: 410–422) one can build the system itself from modules like this.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"12 1","pages":"615-627"},"PeriodicalIF":0.0,"publicationDate":"2013-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84592617","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: 7
On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential 诱导中性粒子约束于硬壁约束势的非惯性效应
Central European Journal of Physics Pub Date : 2013-12-10 DOI: 10.2478/s11534-013-0313-2
K. Bakke
{"title":"On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential","authors":"K. Bakke","doi":"10.2478/s11534-013-0313-2","DOIUrl":"https://doi.org/10.2478/s11534-013-0313-2","url":null,"abstract":"In this contribution, we discuss the confinement of a nonrelativistic spin-half neutral particle to a hard-wall confining potential induced by noninertial effects. We show that the geometry of the manifold plays the role of a hard-wall confining potential and yields bound state solutions. We also consider a neutral particle with a permanent magnetic dipole moment interacting with a field configuration induced by noninertial effects, and discuss the behaviour of the induced fields and obtain energy levels for bound states.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"1022 1","pages":"1589-1597"},"PeriodicalIF":0.0,"publicationDate":"2013-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2478/s11534-013-0313-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72433138","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: 9
Hall effect on MHD flow and heat transfer of nanofluids over a stretching wedge in the presence of velocity slip and Joule heating 在速度滑移和焦耳加热存在的情况下，纳米流体在拉伸楔上的MHD流动和传热的霍尔效应
Central European Journal of Physics Pub Date : 2013-12-01 DOI: 10.2478/s11534-013-0331-0
X. Su, Liancun Zheng
{"title":"Hall effect on MHD flow and heat transfer of nanofluids over a stretching wedge in the presence of velocity slip and Joule heating","authors":"X. Su, Liancun Zheng","doi":"10.2478/s11534-013-0331-0","DOIUrl":"https://doi.org/10.2478/s11534-013-0331-0","url":null,"abstract":"This paper deals with the boundary layer flow and heat transfer of nanofluids over a stretching wedge with velocity-slip boundary conditions. In this analysis, Hall effect and Joule heating are taken into consideration. Four different types of water-base nanofluids containing copper (Cu), silver (Ag), alumina (Al2O3), and titania (TiO2) nanoparticles are analyzed. The partial differential equations governing the flow and temperature fields are converted into a system of nonlinear ordinary differential equations using a similarity transformation. The resulting similarity equations are then solved by using the shooting technique along with the fourth order Runge-Kutta method. The effects of types of nanoparticles, the volume fraction of nanoparticles, the magnetic parameter, the Hall parameter, the wedge angle parameter, and the velocityslip parameter on the velocity and temperature fields are discussed and presented graphically, respectively.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"68 1","pages":"1694-1703"},"PeriodicalIF":0.0,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90321345","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: 24
Phenomenological models of Universe with varying G and Λ 变化G和Λ的宇宙现象学模型
Central European Journal of Physics Pub Date : 2013-11-27 DOI: 10.2478/s11534-014-0453-z
M. Khurshudyan
{"title":"Phenomenological models of Universe with varying G and Λ","authors":"M. Khurshudyan","doi":"10.2478/s11534-014-0453-z","DOIUrl":"https://doi.org/10.2478/s11534-014-0453-z","url":null,"abstract":"In this article we will consider several phenomenological models for the Universe with varying G and Λ(t), where G is the gravitational ”constant” and Λ(t) is a varying cosmological ”constant”. Two-component fluid model are taken into account. An interaction of the phenomenological form between a barotropic fluid and a quintessence DE is supposed. Three different forms of Λ(t) will be considered. The problem is analysed numerically and behavior of different cosmological parameters investigated graphically. Conclusion and discussions are given at the end of the work. In an Appendix information concerning to the other cosmological parameters is presented.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"6 1","pages":"348-366"},"PeriodicalIF":0.0,"publicationDate":"2013-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74474099","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: 6
The yield condition in the mobilization of yield-stress materials in distensible tubes 膨胀管中屈服应力材料动员的屈服条件
Central European Journal of Physics Pub Date : 2013-11-25 DOI: 10.2478/s11534-014-0498-z
T. Sochi
{"title":"The yield condition in the mobilization of yield-stress materials in distensible tubes","authors":"T. Sochi","doi":"10.2478/s11534-014-0498-z","DOIUrl":"https://doi.org/10.2478/s11534-014-0498-z","url":null,"abstract":"In this paper we investigate the yield condition in the mobilization of yield-stress materials in distensible tubes. We discuss the two possibilities for modeling the yield-stress materials prior to yield: solid-like materials and highly-viscous fluids and identify the logical consequences of these two approaches on the yield condition. Our results reveal that these two modeling approaches have far reaching consequences on the yield bottleneck and hence should be critically examined in the light of experimental evidence. As part of this investigation we derive an analytical expression for the pressure field inside a distensible tube with a Newtonian flow using a one-dimensional Navier-Stokes flow model in conjunction with a pressurearea constitutive relation based on elastic tube wall characteristics. This analytical expression has wider applicability than in the identification of the yield condition of yield-stress material.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"14 1","pages":"532-540"},"PeriodicalIF":0.0,"publicationDate":"2013-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78256593","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: 1
Ultrashort pulses and free-electron lasers applications 超短脉冲和自由电子激光器的应用
Central European Journal of Physics Pub Date : 2013-11-24 DOI: 10.2478/s11534-013-0320-3
K. Tőkési, L. Nagy, F. Martín
{"title":"Ultrashort pulses and free-electron lasers applications","authors":"K. Tőkési, L. Nagy, F. Martín","doi":"10.2478/s11534-013-0320-3","DOIUrl":"https://doi.org/10.2478/s11534-013-0320-3","url":null,"abstract":"This topical issue of the Central European Journal of Physics (CEJP) highlights the emerging field of ultrashort pulses and free-electron lasers applications. The systematic application of lasers in physics, chemistry, biology and medicine has been one the most important scientific revolutions of the past century. Their intensity, coherence and, more recently, short pulse duration has made it possible to go beyond traditional single-photon transitions, revealing novel aspects of atomic and molecular structure and dynamics. Current developments of coherent light sources in the x-ray regime promise to revolutionize even more these fields.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"4 1","pages":"1057-1058"},"PeriodicalIF":0.0,"publicationDate":"2013-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87814768","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
Nonadiabatic ab initio molecular dynamics using linear-response time-dependent density functional theory 基于线性响应时变密度泛函理论的非绝热从头计算分子动力学
Central European Journal of Physics Pub Date : 2013-11-24 DOI: 10.2478/s11534-013-0321-2
B. Curchod, T. Penfold, U. Rothlisberger, I. Tavernelli
{"title":"Nonadiabatic ab initio molecular dynamics using linear-response time-dependent density functional theory","authors":"B. Curchod, T. Penfold, U. Rothlisberger, I. Tavernelli","doi":"10.2478/s11534-013-0321-2","DOIUrl":"https://doi.org/10.2478/s11534-013-0321-2","url":null,"abstract":"We review our recent work on ab initio nonadiabatic molecular dynamics, based on linear-response timedependent density functional theory for the calculation of the nuclear forces, potential energy surfaces, and nonadiabatic couplings. Furthermore, we describe how nuclear quantum dynamics beyond the Born-Oppenheimer approximation can be performed using quantum trajectories. Finally, the coupling and control of an external electromagnetic field with mixed quantum/classical trajectory surface hopping is discussed.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"36 4","pages":"1059-1065"},"PeriodicalIF":0.0,"publicationDate":"2013-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72626227","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: 9
Vibrationally resolved K-shell photoionization cross sections of methane 甲烷振动分解k壳层光电离截面
Central European Journal of Physics Pub Date : 2013-11-24 DOI: 10.2478/s11534-013-0318-x
É. Plésiat, P. Decleva, F. Martín
{"title":"Vibrationally resolved K-shell photoionization cross sections of methane","authors":"É. Plésiat, P. Decleva, F. Martín","doi":"10.2478/s11534-013-0318-x","DOIUrl":"https://doi.org/10.2478/s11534-013-0318-x","url":null,"abstract":"We use an extension of the static-exchange density functional theory (DFT) method, previously reported in [E. Plésiat et al., Phys. Rev. A 2, 023409 (2012), E. Plésiat, P. Decleva, F. Martín, Phys. Chem. Chem. Phys. 31, 10853 (2012)], to evaluate vibrationally resolved (total and angular) K-shell photoelectron cross sections of methane. The calculated cross sections are in very good agreement with the existing experimental measurements at low photoelectron energies. We show that, in contrast with the rich interference patterns previously observed in molecular frame C(1s) photoelectron angular distributions of methane at both low and high photoelectron energy, no interference effects are observed in the calculated β parameters, even at high photon energies.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"55 1","pages":"1157-1162"},"PeriodicalIF":0.0,"publicationDate":"2013-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74890070","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: 3
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