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Analytical Hopf Bifurcation and Stability Analysis of T System

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Communications in Theoretical Physics 2011年第4期55卷 609-616页

作者： Robert A.VanGorder S.roy choudhury Department of Mathematics University of Central Florida

Complex dynamics are studied in the T system, a three-dimensional autonomous nonlinear system. In particular, we perform an extended Hopf bifurcation analysis of the system. The periodic orbit immediately following the Hopf bifurcation is constructed analytically for the T system using the method of multiple scales, and the stability of such orbits is analyzed. Such analytical results complement the numerical results present in the literature. The analytical results in the post-bifurcation regime are verified and extended via numerical simulations, as well as by the use of standard power spectra, autocorrelation functions, and fractal dimensions diagnostics. We find that the T system exhibits interesting behaviors in many parameter regimes.

关键词： extended Hopf bifurcation analysis method of multiple scales T system stability analysis

Interaction of Heterotrimeric G-Protein Components with Receptor-like Kinases in Plants： An Alternative to the Established Signaling Paradigm？

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Molecular Plant 2016年第8期9卷 1093-1095页

作者： Swarup roy choudhury Sona Pandey Donald Danforth Plant Science Center St. Louis MO 63132 USA

Heterotrimeric G proteins comprising Ga, Gβ, and Gγ subunits （hereafter termed G proteins） mediate important signaling pro- cesses in all eukaryotes. As per the established paradigm,

关键词： hereafter Signal guanine

A new recursive method for the analysis of linear time invariant dynamic systems via double-term triangular functions (DTTF) in state space environment

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控制理论与应用（英文版） 2013年第1期11卷 108-115页

作者： Anish DEB Suchismita GHOSH Srimanti roy choudhury Gautam SARKAR Department of Applied Physics University of Calcutta Department of Electrical Engineering MCKV Institute of Engineering Department of Electrical Engineering Budge Budge Institute of Technology

This paper presents a new recursive method for system analysis via double-term triangular functions （DTTF） in state space environment. The proposed method uses orthogonal triangular function sets and proves to be more accurate as compared to single term Walsh series （STWS） method with respect to mean integral square error （MISE）. This has been established theoretically and comparison of error with respect to MISE is presented for clarity. A numerical example is treated to establish the proposed method. Relevant curves for the solutions of states of the dynamic system are also presented with plots of percentage error for DTTF-based analysis.

关键词： Double term triangular functions Walsh functions, System analysis Single term Walsh series Mean integral square error (MISE)

Modeling and analysis of singular systems via orthogonal triangular functions

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控制理论与应用（英文版） 2013年第2期11卷 141-148页

作者： Suchismita GHOSH Anish DEB Srimanti roy choudhury Gautam SARKAR Department of Electrical Engineering MCKV Institute of Engineering Department of Applied Physics University of Calcutta92 APC RoadKolkata 700009 India Department of Electrical Engineering Budge Budge Institute of Technology Department of Applied Physics University of Calcutta2 APC RoadKolkata 700009 India

This paper presents a new approach to singular system analysis by modeling the system in terms of orthog- onal triangular functions （TFs）. The proposed method is more accurate compared to block pulse function-based analysis with respect to mean integral square error （MISE）. A numerical example involving four states of a singular system is treated and solutions obtained thereof. Four tables and relevant curves are presented to compare the respective coefficients in block pulse function （BPF） domain as well as in TF domain. The percentage error of the samples determined via TF domain are compared with the exact samples of the states. Furthermore, MISE for both BPF and TF analysis are computed and compared to reveal the efficiency of TF-based analysis.

关键词： Singular systems Triangular functions Block pulse functions System analysis Modeling

The formation of authigenic deposits during Paleogene warm climatic intervals:A review

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Journal of Palaeogeography 2020年第4期9卷 388-414页

作者： Santanu Banerjee Tathagata roy choudhury Pratul Kumar Saraswati Sonal Khanolkar Department of Earth Sciences Indian Institute of Technology BombayPowaiMumbai-400076India Department of Earth Sciences Indian Institute of Technology KanpurKanpur-208016India

Although Paleogene warm climatic intervals have received considerable attention for atmospheric and oceanographic changes,the authigenic mineralization associated with these time spans remains *** extensive review of the literature reveals a close correspondence between the high abundance of glauconite and warm climatic intervals during the Paleogene *** abundance of phosphorite,ironstone,lignite and black shale deposits reveals similar *** investigated thoroughly,the origin of these authigenic deposits is never understood in the background of Paleogene warming climatic intervals.A combination of factors like warm seawater,hypoxic shelf,low rate of sedimentation,and enhanced rate of continental weathering facilitated the *** last factor caused the excess supply of nutrients,including Fe,Si,K,Mg and Al through the rivers,the cations needed for the formation of *** excessive inflow of nutrient-rich freshwater into the shallow seas further ensured high organic productivity and stratification in shallow shelves,causing *** consequent rapid rise in sea-level during the warm periods created extensive low-relief shallow marine shelves starved in ***-deficiency in the shallow marine environment facilitated the fixation of Fe into the glauconite *** inflow of nutrient-rich water during the warm climatic intervals facilitated the formation of phosphorite,ironstone,and organic-matter-rich sedimentary deposits as *** global factors primarily controlled the formation of these authigenic deposits,local factors played significant roles in some of the ***,phosphorites formed in marine conditions with open circulation within the tropical *** lush growth of rainforest covers in the tropical belt facilitated the formation of coastal lignite.

关键词： Warm climatic intervals Hyperthermal events Glauconite Phosphorite Oolitic ironstone Lignite Hypoxia Paleogene

Distinguishing celadonite from glauconite for environmental interpretations:a review

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Journal of Palaeogeography 2023年第2期12卷 179-194页

作者： Pragya Singh Santanu Banerjee Tathagata roy choudhury Satadru Bhattacharya Kanchan Pande Department of Earth Sciences Indian Institute of Technology BombayPowaiMumbai400076India Space Applications Centre Indian Space Research OrganisationAhmedabad380015India

Celadonite and glauconite are comparable in terms of physical,chemical and mineralogical *** of both these minerals requires slightly oxygen-depleted conditions in a semiconfined micro-environment,facilitating the uptake of Fe into the *** glauconite is ubiquitous in marine deposits,celadonite forms in both marine and non-marine environments,more commonly by altering intermediate to mafic rocks.A review of data across the geological column shows that both these minerals are more common in the Mesozoic and Cenozoic,which may be related to extensive *** composition of celadonite and glauconite is highly variable and is controlled by the availability of cations within the pore water *** major element composition of celadonite overlaps with that of evolved to highly evolved glauconite to a large *** data and representative samples of celadonite and glauconite reveal subtle differences in X-ray diffraction parameters and Fourier transform infrared(FTIR)*** shows sharper basal and hkl reflections than *** characteristically exhibits distinct 111-021,003-022,023 and 130-131,and 060 reflections at less than 1.51A,indicating a betterordered crystallographic structure than *** FTIR spectra of celadonite and glauconite show similar absorption bands although Si-O bending,Si-O stretching and OH-stretching bands are sharper and well resolved in celadonite than that of *** palaeoenvironmental interpretations,it is,therefore,necessary to examine the subtle differences in X-ray diffraction parameters and FTIR spectra to confirm the identification of these two *** composition of celadonite relates closely to the host rock and depositional *** celadonite associated with mafic rock shows relatively high Fe,Mg and low Al *** contrast,those associated with felsic to intermediate composition rocks show slightly higher contents of Al and

关键词： Celadonite Glauconite Authigenic green silicates Large igneous province Marine Fourier transform infrared spectroscopy X-ray diffraction

Ultraviolet B radiation-mediated stress ethylene emission from rice plants is regulated by 1-aminocyclopropane-1-carboxylate deaminase-producing bacteria

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Pedosphere 2022年第2期32卷 364-368页

作者： Jeongyun CHOI Aritra roy choudhury Myung-Min OH Denver I.WALITANG Tongmin SA Department of Environmental and Biological Chemistry Chungbuk National UniversityCheongju 28644Republic of Korea Bio-Evaluation Center Korea Research Institute of Bioscience and BiotechnologyCheongju 28116Republic of Korea Devision of Animal Horticultural and Food SciencesChungbuk National UniversityCheongju 28644Republic of Korea Brain Korea 21 Center for Bio-Health IndustryChungbuk National UniversityCheongju 28644Republic of Korea College of Agriculture Fisheries and ForestryRomblon State University Romblon 5505Philippines The Korean Academy of Science and Technology Seongnam 13630Republic of Korea

Dear Editor,Industrial emissions have played a major role in damaging the ozone layer,leading to increased atmospheric penetration of ultraviolet B (UV-B)(290–320 nm) radiation (Jordan,2002).The recovery rate of the damaged ozone layer in the mid-latitudes and tropics has been insignificant since 1979(Chipperfield et al.,2017),even after the adoption of the Montreal Protocol (Protocol,1987),and the recovery process is expected to take many *** the meantime,UV-B radiation continues to penetrate the atmosphere (McKenzie et al.,2011;Bais et al.,2019).The characteristic short length and high energy of this radiation wavelength can directly affect major molecules,such as DNA,proteins,and lipids,which are important to living beings (Hideg et al.,2013).Rice is one of the major global crops,which is generally cultivated at lower latitudes and can potentially be exposed to a higher flux of UV radiation due to greater solar angles and longer duration of sunlight (Kataria and Guruprasad,2012).

关键词： crops ozone latitude

A robust test of uncertain linear systems

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控制理论与应用（英文版） 2009年第3期7卷 277-280页

作者： Yogesh V. HOTE D. roy choudhury J. R. P. GUPTA Department of Instrumentation and Control Engineering Delhi University Department of Computer Engineering I. P. University

In this paper, it is shown that for low-order uncertain systems, there is no need to calculate all the minimum and maximum values of the coefficients for a perturbed system which is expressed in terms of polynomials and hence no need to formulate and test all the four Kharitonov＇s polynomials. Furthermore, for higher-order systems such as n ≥ 5, the usual four Kharitonov＇s polynomials need not be tested initially for sufficient condition of perturbed systems; rather, the necessary condition can be checked before going for sufficient condition. In order to show the effectiveness of the proposed method, numerical examples are shown and computational efficiency is highlighted.

关键词： Kharitonov's theorem Robust stability Routh criterion

A simple approach for stability margin of discrete systems

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控制理论与应用（英文版） 2011年第4期9卷 567-570页

作者： Yogesh V. HOTE J. R. P. GUPTA D. roy choudhury Department of Electrical Engineering Indian Institute of Technology (IIT) Department of Instrumentation and Control Engineering Delhi University Department of Information Technology (I.T.) M.A.I.T.

In this paper, a technique is presented to determine the stability margin of the discrete systems using recursive algorithm for power of companion matrix and Gerschgorin Theorem and hence sufficient condition of stability is obtained. The method is illustrated with an example and it is compared with other methods proposed in the literature. The results have applications in the filter design.

关键词： Gerschgorin theorem Power of companion matrix Discrete systems Stability margin