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Analytical solutions for limit cycles of the forced Van der Pol Duffing oscillator

AIP Conference Proceedings 2013年第1期1558卷 2187-2192页

作者： Anant Kant Shukla T. R. Ramamohan S. Srinivas CSIR Fourth Paradigm Institute (CSIR-4PI) Council of Scientific and Industrial Research Wind Tunnel Road Bangalore 560 037 India CSIR Centre for Mathematical Modelling and Computer Simulation Council of Scientific and Indusrtial Research Wind Tunnel Road Bangalore: 560 037 India School of Advanced Sciences VIT University Vellore Tamilnadu: 632 014 India

We study limit cycle solutions of the forced Van der Pol Duffing oscillator under the condition that the external frequency is equal to the resultant frequency of the nonlinear oscillator. The effects of the damping parameter (μ), the nonlinear term (β) and the magnitude of the external forcing (g) are discussed. We use the homotopy analysis method (HAM) to obtain closed form solutions. We note that without forcing we obtain solutions reported previously in the literature. We minimize the square residual error of this problem to obtain solutions by HAM. Finally, a comparison of numerical and analytical solutions has been carried out.

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Impact of weather variables on mosquitoes infected with Japanese encephalitis virus in Kurnool district,Andhra Pradesh

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Asian Pacific Journal of Tropical Medicine 2012年第5期5卷 337-341页

作者： Suryanarayana Murty Upadhyayula Srinivasa Rao Mutheneni Hari Krishna Nayanoori Arunachalam Natarajan Prashant Goswami Bioinformatics Group Biology Division.Indian Institute of Chemical Technology(CSIR)Hyderabad-500 607Andhra PradeshIndia Centre for Research in Medical Entomology(ICMR) Madurai-625002India CSIR Centre for Mathematical Modelling and Computer Simulation(C-MMMACS) BengaluruIndia

Objective:To assess the virus infection in mosquitoes during different seasons and correlated with various climatic ***:The field collected vectors were screened for Japanese encephalitis(JE) virus after dessication using ELISA *** of the positive pools were recorded from Culex tritaeniorhynchus(***) and ***(***) during JE transmission season(winter) and some positive pools were also reported during non JE transmission periods(*** and rainy seasons).Results:The minimum infection rates(MIR) of 1.75 from *** and 0.17 from *** has been reported in the year 2002 at the beginning of the study and the values were found nil at the end of the study(2006) from the study areas of Kurnool ***:From this study it is noted that MTR of *** and *** were modulated by various meteorological *** mosquito vector abundance increases after the monsoon period(winter) and lowest in dry season(summer). Similarly,MIR fluctuated between seasons with higher MIR recorded after monsoon period and lower in the rest of *** of these metrological parameters in JE virus infected mosquitoes is discussed in this paper.

关键词： Japanese encephalitis virus Minimum infection rate Rainfall Temperature

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Feedback manipulation flooding attack: Feasibility evaluation and impact quantification on Stream Control Transmission Protocol

Feedback manipulation flooding attack: Feasibility evaluatio...

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International Conference for Internet Technology and Secured Transactions (ICITST)

作者： V Anil Kumar Debabrata Das CSIR Centre for Mathematical Modelling and Computer Simulation Bangalore India International Institute of Information Technology Bangalore India

Stream Control Transmission Protocol (SCTP) is a general purpose and relatively new transport layer protocol with several unique features. This paper highlights the concept of feedback protocol and identifies SCTP as a protocol operating in a closed-loop feedback manner. We conduct an in-depth security analysis of closed-loop feedback operation of SCTP congestion control and present a new attack scenario called feedback manipulation flooding attack (FMFA). We show that standard SCTP senders can be remotely exploited for generation of powerful and sustained Denial-of-Service attack flood by tactically manipulating feedback messages. To ascertain the attack feasibility and its potential impact, we simulate the FMFA scenario using one of the globally well-accepted network simulators (ns2). We also compare the feedback manipulation flooding attack with conventional brute-force flooding attacks and identify some of its exclusive characteristics. Further, we implement the FMFA attack scenario in Linux kernel and present real-world experimental results over the Internet to validate our simulation results.

关键词： Receivers

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Earthquake correlations and networks: A comparative study

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Physical Review E 2011年第4期83卷 046109-046109页

作者： T. R. Krishna Mohan P. G. Revathi []CSIR Centre for Mathematical Modelling and Computer Simulation (C-MMACS) Bangalore 560017 India

We quantify the correlation between earthquakes and use the same to extract causally connected earthquake pairs. Our correlation metric is a variation on the one introduced by Baiesi and Paczuski [M. Baiesi and M. Paczuski, Phys. Rev. E 69, 066106 (2004)]. A network of earthquakes is then constructed from the time-ordered catalog and with links between the more correlated ones. A list of recurrences to each of the earthquakes is identified employing correlation thresholds to demarcate the most meaningful ones in each cluster. Data pertaining to three different seismic regions (viz., California, Japan, and the Himalayas) are comparatively analyzed using such a network model. The distribution of recurrence lengths and recurrence times are two of the key features analyzed to draw conclusions about the universal aspects of such a network model. We find that the unimodal feature of recurrence length distribution, which helps to associate typical rupture lengths with different magnitude earthquakes, is robust across the different seismic regions. The out-degree of the networks shows a hub structure rooted on the large magnitude earthquakes. In-degree distribution is seen to be dependent on the density of events in the neighborhood. Power laws, with two regimes having different exponents, are obtained with recurrence time distribution. The first regime confirms the Omori law for aftershocks while the second regime, with a faster falloff for the larger recurrence times, establishes that pure spatial recurrences also follow a power-law distribution. The crossover to the second power-law regime can be taken to be signaling the end of the aftershock regime in an objective fashion.

关键词： EARTHQUAKE engineering RECURSIVE sequences (Mathematics) SEQUENCES (Mathematics) EARTHQUAKE aftershocks mathematical models simulation methods & models

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Mobile based payment model for HPC clouds

Mobile based payment model for HPC clouds

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International Conference on Recent Trends in Information Technology (ICRTIT)

作者： Manmohan Brahma G K Patra R P Thangavelu V Anil Kumar High Performance Computing Group CSIR Centre of Mathematical Modelling and Computer Simulation Council of Scientific and Industrial Research Bangalore India

Use of High Performance Computing (HPC) for modelling and simulation in the areas of engineering, geophysics, biotechnology etc. is not new. However, there has been a growing demand for HPC over the past few years in other non - conventional areas like architecture, graphics design and even gaming. The prohibitive cost of HPC resources, which are considered to be the costliest in the world of computing, forces many not to use them. Especially in countries like India, where implementing an HPC infrastructure has many challenges, many genuine requirements are compromised. Currently only a handful number of organizations both in government and private enterprise can afford to establish HPC facilities of their own. So the biggest question, in the field of computing is that “Is HPC a dream for a common person's use?” Cloud computing, the future generation computing, could be one solution to realize such dreams. It is a very new concept in the field of computing characterized by three main entities - Software as a service, Platform as a service and Infrastructure as a service. However, it can be a true success if it can be made cost effective, easy to use and hassle free. In this paper we propose a payment model equivalent to prepaid cellular phone payment for HPC as a cloud services for common people.

关键词： Servers Logic gates Software Cloud computing Mobile communication Computational modeling Licenses

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Object-Oriented Finite Element Analysis of Metal Working Processes

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Journal of Software Engineering and Applications 2010年第6期3卷 572-579页

作者： Surendra Kumar CSIR Centre for Mathematical Modelling and Computer Simulation Council of Scientific and Industrial Research

Recently an object-oriented approach has been applied in the fields of finite element analysis with a view to treating the various complexities within these. It has been demonstrated that finite element software designed using an object-oriented approach can be significantly more robust than traditional codes. This paper describes a special kind of implementation of object-oriented programming which is rather hybrid in nature, in the development of a finite element code for engineering analysis of metal working problems using C++, and discusses the advantages of this approach.

关键词： Finite Element Method Data Abstraction Techniques Object-Oriented Programming C++ Programming Language Metal Working

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Object-oriented finite element programming for engineering analysis in C++

Journal of Software

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Journal of Software 2010年第7期5卷 689-696页

作者： Kumar, Surendra CSIR Centre for Mathematical Modelling Computer Simulation Council of Scientific and Industrial Research Bangalore-560037 India

Recently there has been growing interest in applying object-oriented approach to large-scale programs with a view to treating the various complexities within these. Software designed using an object-oriented approach can be significantly more robust than traditional software. More codes can be reused and it can be easier to refine, test, maintain and extend the software. Several benefits of this approach may also be observed in the area of finite element analysis. This paper describes an implementation of object-oriented programming to the finite element method for engineering analysis using C++, and illustrates the advantages of this approach. © 2010 ACADEMY PUBLISHER.

关键词： Finite element method

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Seismic hazard in Asia

Seismic hazard in Asia

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作者： Parvez, Imtiyaz A. CSIR Centre for Mathematical Modelling and Computer Simulation NAL Belur Campus Bangalore 560 037 India

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A new concept of key agreement using chaos-synchronization based parameter estimation

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3rd International Conference on Information System Security, ICISS 2007

作者： Patra, G.K. Anil Kumar, V. Thangavelu, R.P. CSIR Centre for Mathematical Modelling and Computer Simulation Bangalore India

ISBN: (纸本)9783540770855

Search for a key agreement algorithm not based on traditional number theoretic problem is a challenging area of research in information security. In this paper we present a new concept of key agreement, using synchronization based parameter estimation of two chaotic systems. In this short paper, we only introduce the concept, which shows promise of a new mechanism. © Springer-Verlag Berlin Heidelberg 2007.

关键词： Parameter estimation

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Secure chaotic synchronization using negative feedback of super-positioned signals

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3rd International Conference on Information System Security, ICISS 2007

作者： Patra, G.K. Anil Kumar, V. Thangavelu, R.P. CSIR Centre for Mathematical Modelling and Computer Simulation Bangalore India

ISBN: (纸本)9783540770855

Chaotic synchronization is a potential candidate for a stream cipher cryptosystem. However, many of the proposed schemes do not posses the required security level to be used in real implementations. One of the major threats to such cryptoSystems based on chaotic synchronization is the parameter estimation method both in on-line and off-line forms. In this paper we propose a new method of feedback synchronization, in which instead of a single variable feedback, we propose to use a superposition of multiple variable values. As super-positioning is an irreversible computation, it dilutes the information content of the various parameters of the chaotic system. We show in this paper that an identical chaotic system (parameters are same) can still synchronize, while a non-identical system (parameters are different) will fail. We have demonstrated the robustness of the proposed system from well-known on-line and off-line attacks. © Springer-Verlag Berlin Heidelberg 2007.

关键词： Chaotic systems

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