Edit Profile (opens in new tab) Senthilkumar, Dharmapuri Vijayan Co-Author Distance Author ID: senthilkumar.dharmapuri-vijayan Published as: Senthilkumar, D. V.; Senthilkumar, Dharmapuri Vijayan Documents Indexed: 45 Publications since 2005, including 1 Book Co-Authors: 11 Co-Authors with 17 Joint Publications 709 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Lakshmanan, Muthusamy 7 Kurths, Jürgen 7 Maheswari Naik, P. 6 Chandrasekar, V. K. 5 Panayappan, Sethuraman 4 Sathiyadevi, K. 4 Sherinjoy, S. M. 3 Thirugnanasambandam, K. 2 Gowthaman, I. 2 Kiruthika, D. 2 Mohanraj, R. 2 Muthuraj, D. 2 Parvatham, S. 2 Santhi, Rathinasamy 1 Ahamed, A. Ishaq 1 Chandra, Kala P. 1 Kala, P. Chandra 1 Karthiga, S. 1 Mohamed, I. Raja 1 Raffie, B. Esha 1 Seshaiah, C. V. 1 Thamilmaran, Kathamuthu 1 Zhan, Meng 1 Zou, Wei all top 5 Serials 7 Far East Journal of Mathematical Sciences 5 Chaos 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Applied Statistics 3 International Journal of Applied Mathematics 3 International Journal of Mathematical Analysis (Ruse) 2 Chaos, Solitons and Fractals 2 Communications in Nonlinear Science and Numerical Simulation 2 Banach Journal of Mathematical Analysis 2 International Journal of Functional Analysis, Operator Theory and Applications 1 Physics Reports 1 Nonlinear Dynamics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 The Australian Journal of Mathematical Analysis and Applications 1 Springer Series in Synergetics 1 International Mathematical Forum 1 International Journal of Contemporary Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 European Journal of Pure and Applied Mathematics 1 Nonlinear Analysis. Hybrid Systems 1 Bulletin of Mathematical Analysis and Applications 1 Jordan Journal of Mathematics and Statistics all top 5 Fields 24 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 127 times in 114 Documents Cited by ▼ Year ▼ Dynamics of nonlinear time-delay systems. Zbl 1230.37001 Lakshmanan, Muthusamy; Senthilkumar, Dharmapuri Vijayan 51 2010 Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity. Zbl 1317.34111 Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J. 15 2011 Quenching, aging, and reviving in coupled dynamical networks. Zbl 07408899 Zou, Wei; Senthilkumar, D. V.; Zhan, Meng; Kurths, Jürgen 10 2021 Inverse synchronizations in coupled time-delay systems with inhibitory coupling. Zbl 1309.34105 Senthilkumar, D. V.; Kurths, J.; Lakshmanan, M. 9 2009 Bifurcations and chaos in time delayed piecewise linear dynamical systems. Zbl 1093.34566 Senthilkumar, D. V.; Lakshmanan, M. 7 2005 Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems. Zbl 1159.37392 Senthilkumar, D. V.; Lakshmanan, M. 6 2007 Aging transition in the absence of inactive oscillators. Zbl 1429.34058 Sathiyadevi, K.; Gowthaman, I.; Senthilkumar, D. V.; Chandrasekar, V. K. 5 2019 Frustration induced transient chaos, fractal and riddled basins in coupled limit cycle oscillators. Zbl 1464.37043 Sathiyadevi, K.; Karthiga, S.; Chandrasekar, V. K.; Senthilkumar, D. V.; Lakshmanan, M. 5 2019 Designing and construction of tightened-normal-tightened variables sampling scheme. Zbl 1106.62130 Muthuraj, D.; Senthilkumar, D. 5 2006 Long-range interaction induced collective dynamical behaviors. Zbl 1509.82071 Sathiyadevi, K.; Chandrasekar, V. K.; Senthilkumar, D. V.; Lakshmanan, M. 5 2019 Dynamic environment coupling induced synchronized states in coupled time-delayed electronic circuits. Zbl 1296.34166 Suresh, R.; Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J. 4 2014 Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators. Zbl 1510.34065 Gopal, R.; Chandrasekar, V. K.; Senthilkumar, D. V.; Venkatesan, A.; Lakshmanan, M. 3 2018 Strong chaos in a forced negative conductance series LCR circuit. Zbl 1081.94560 Thamilmaran, K.; Senthilkumar, D. V.; Lakshmanan, M.; Ishaq Ahamed, A. 3 2005 Global and partial phase synchronizations in arrays of piecewise linear time-delay systems. Zbl 1270.34153 Suresh, R.; Senthilkumar, D. V.; Lakshmanan, M.; Kurths, J. 3 2012 Construction and selection of tightened-normal-tightened variables sampling scheme of type TNTVSS \((n_1, n_2; k)\). Zbl 1511.62476 Senthilkumar, D.; Muthuraj, D. 2 2010 Weyl’s theorem for algebraically absolute-\((p, r)\)-paranormal operators. Zbl 1221.47038 Senthilkumar, D.; Maheswari Naik, P. 2 2011 Aluthge transformation of quasi \(n\)-class \(Q\) and quasi \(n\)-class \(Q^*\) operators. Zbl 1413.47038 Senthilkumar, D.; Parvatham, S. 1 2018 Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua’s circuits without delay. Zbl 1331.34061 Srinivasan, K.; Senthilkumar, D. V.; Raja Mohamed, I.; Murali, K.; Lakshmanan, M.; Kurths, J. 1 2012 Tensor sum and dynamical systems. Zbl 1340.47062 Senthilkumar, D.; Chandra, Kala P. 1 2014 On totally \((\alpha, \beta)\)-normal operators. Zbl 1288.47023 Senthilkumar, D.; Sherin Joy, S. M. 1 2012 Weighted composition of quasi-paranormal operators. Zbl 1298.47038 Senthilkumar, D.; Maheswari Naik, P.; Santhi, R. 1 2013 Weyl type theorem and spectrum for \((p,k)\)-quasiposinormal operators. Zbl 1291.47018 Senthilkumar, D.; Kiruthika, D.; Naik, P. Maheswari 1 2013 M-paranormal and \(^\ast\) paranormal composition operators on weighted Hardy space. Zbl 1226.47021 Senthilkumar, D.; Thirugnanasambandam, K.; Mohanraj, R. 1 2010 Quenching, aging, and reviving in coupled dynamical networks. Zbl 07408899 Zou, Wei; Senthilkumar, D. V.; Zhan, Meng; Kurths, Jürgen 10 2021 Aging transition in the absence of inactive oscillators. Zbl 1429.34058 Sathiyadevi, K.; Gowthaman, I.; Senthilkumar, D. V.; Chandrasekar, V. K. 5 2019 Frustration induced transient chaos, fractal and riddled basins in coupled limit cycle oscillators. Zbl 1464.37043 Sathiyadevi, K.; Karthiga, S.; Chandrasekar, V. K.; Senthilkumar, D. V.; Lakshmanan, M. 5 2019 Long-range interaction induced collective dynamical behaviors. Zbl 1509.82071 Sathiyadevi, K.; Chandrasekar, V. K.; Senthilkumar, D. V.; Lakshmanan, M. 5 2019 Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators. Zbl 1510.34065 Gopal, R.; Chandrasekar, V. K.; Senthilkumar, D. V.; Venkatesan, A.; Lakshmanan, M. 3 2018 Aluthge transformation of quasi \(n\)-class \(Q\) and quasi \(n\)-class \(Q^*\) operators. Zbl 1413.47038 Senthilkumar, D.; Parvatham, S. 1 2018 Dynamic environment coupling induced synchronized states in coupled time-delayed electronic circuits. Zbl 1296.34166 Suresh, R.; Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J. 4 2014 Tensor sum and dynamical systems. Zbl 1340.47062 Senthilkumar, D.; Chandra, Kala P. 1 2014 Weighted composition of quasi-paranormal operators. Zbl 1298.47038 Senthilkumar, D.; Maheswari Naik, P.; Santhi, R. 1 2013 Weyl type theorem and spectrum for \((p,k)\)-quasiposinormal operators. Zbl 1291.47018 Senthilkumar, D.; Kiruthika, D.; Naik, P. Maheswari 1 2013 Global and partial phase synchronizations in arrays of piecewise linear time-delay systems. Zbl 1270.34153 Suresh, R.; Senthilkumar, D. V.; Lakshmanan, M.; Kurths, J. 3 2012 Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua’s circuits without delay. Zbl 1331.34061 Srinivasan, K.; Senthilkumar, D. V.; Raja Mohamed, I.; Murali, K.; Lakshmanan, M.; Kurths, J. 1 2012 On totally \((\alpha, \beta)\)-normal operators. Zbl 1288.47023 Senthilkumar, D.; Sherin Joy, S. M. 1 2012 Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity. Zbl 1317.34111 Srinivasan, K.; Senthilkumar, D. V.; Murali, K.; Lakshmanan, M.; Kurths, J. 15 2011 Weyl’s theorem for algebraically absolute-\((p, r)\)-paranormal operators. Zbl 1221.47038 Senthilkumar, D.; Maheswari Naik, P. 2 2011 Dynamics of nonlinear time-delay systems. Zbl 1230.37001 Lakshmanan, Muthusamy; Senthilkumar, Dharmapuri Vijayan 51 2010 Construction and selection of tightened-normal-tightened variables sampling scheme of type TNTVSS \((n_1, n_2; k)\). Zbl 1511.62476 Senthilkumar, D.; Muthuraj, D. 2 2010 M-paranormal and \(^\ast\) paranormal composition operators on weighted Hardy space. Zbl 1226.47021 Senthilkumar, D.; Thirugnanasambandam, K.; Mohanraj, R. 1 2010 Inverse synchronizations in coupled time-delay systems with inhibitory coupling. Zbl 1309.34105 Senthilkumar, D. V.; Kurths, J.; Lakshmanan, M. 9 2009 Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag and complete synchronizations in time-delay nonlinear dynamical systems. Zbl 1159.37392 Senthilkumar, D. V.; Lakshmanan, M. 6 2007 Designing and construction of tightened-normal-tightened variables sampling scheme. Zbl 1106.62130 Muthuraj, D.; Senthilkumar, D. 5 2006 Bifurcations and chaos in time delayed piecewise linear dynamical systems. Zbl 1093.34566 Senthilkumar, D. V.; Lakshmanan, M. 7 2005 Strong chaos in a forced negative conductance series LCR circuit. Zbl 1081.94560 Thamilmaran, K.; Senthilkumar, D. V.; Lakshmanan, M.; Ishaq Ahamed, A. 3 2005 all cited Publications top 5 cited Publications all top 5 Cited by 244 Authors 10 Kurths, Jürgen 9 Lakshmanan, Muthusamy 8 Senthilkumar, Dharmapuri Vijayan 5 Banerjee, Tanmoy 5 Ghosh, Dibakar 5 Pham, Viet-Thanh 5 Volos, Christos K. 4 Mohamed, I. Raja 4 Vaidyanathan, Sundarapandian 4 Zou, Wei 3 Chandrasekar, V. K. 3 Marzban, Hamid-Reza 3 Zhao, Nannan 2 Akimenko, Vitalii V. 2 Ambika, G. 2 Biswas, Debabrata 2 Chen, Xinyue 2 Cui, Li 2 Hoang, Thang Manh 2 Hoseini, Sayyed Mohammad 2 Hövel, Philipp 2 Jafari, Sajad 2 Jeeva Sathya Theesar, S. 2 Li, Fan 2 Liu, Shuai 2 Luo, Wenhui 2 Majhi, Soumen 2 Mao, Xiaochen 2 Otto, Andreas 2 Ou, Qingli 2 Premraj, Durairaj 2 Radons, Günter 2 Rakshit, Sarbendu 2 Shrimali, Manish Dev 2 Song, Xueli 2 Sun, Zhongkui 2 Thamilmaran, Kathamuthu 2 van Yem, Vu 2 Woafo, Paul 2 Xiao, Yuzhu 2 Zhan, Meng 2 Zhang, Weihai 1 Amin, Rohul 1 Anguelov, Roumen 1 Arulgnanam, A. 1 Azar, Ahmad Taher 1 Aziz, Imran 1 Bachelard, Romain 1 Balaram, Bipin 1 Banerjee, Santo 1 Bel, Andrea L. 1 Blyuss, Konstantin B. 1 Cai, Shuo 1 Caneco, Acilina 1 Chai, Yi 1 Chand, Sunita 1 Chekroun, Mickaël D. 1 Chen, Xiaolong 1 Chen, Zhonggao 1 Chitra, R. N. 1 Cobiaga, Romina 1 Coombes, Stephen 1 Cosenza, Mario G. 1 da Rocha Filho, Tarcísio Marciano 1 Dana, Syamal Kumar 1 Deng, Zelin 1 Dixit, Shiva 1 Du, Baoxiang 1 Duan, Hao 1 Duan, Jinqiao 1 Erneux, Thomas 1 Fang, Jian’an 1 Fei, Shumin 1 Feng, Likang 1 Fernandes, Sara 1 Fomethe, Anaclet 1 Fournier-Prunaret, Danièle 1 Fränzle, Martin 1 Fu, Xinchu 1 Gade, Prashant M. 1 Gao, Yingshuang 1 Gelens, Lendert 1 George, Raju K. 1 Ghil, Michael 1 Gotthans, Tomas 1 Gowthaman, I. 1 Grácio, Clara 1 Gröll, Lutz 1 Grosu, Ioan 1 Gu, Shuangquan 1 Guan, Zhihong 1 Guerrini, Luca 1 Gupta, Shamik 1 Hagenmeyer, Veit 1 Harikrishnan, K. P. 1 He, Sujuan 1 Hizanidis, Johanne 1 Hogan, S. John 1 Hu, Jing 1 Huang, Shoufang ...and 144 more Authors all top 5 Cited in 37 Serials 21 Chaos 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Chaos, Solitons and Fractals 7 Nonlinear Dynamics 7 Communications in Nonlinear Science and Numerical Simulation 4 Physica A 2 Journal of the Franklin Institute 2 Physics Letters. A 2 Physics Reports 2 Applied Mathematical Modelling 2 Mathematical Problems in Engineering 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Journal of Physics A: Mathematical and Theoretical 2 International Journal of Applied and Computational Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Automatica 1 Optimal Control Applications & Methods 1 Physica D 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Tatra Mountains Mathematical Publications 1 The Journal of Analysis 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 Discrete Dynamics in Nature and Society 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Journal of Biological Dynamics 1 Computational & Mathematical Methods in Medicine 1 Advances in Mathematical Physics 1 Discontinuity, Nonlinearity, and Complexity all top 5 Cited in 24 Fields 82 Ordinary differential equations (34-XX) 23 Biology and other natural sciences (92-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Systems theory; control (93-XX) 16 Information and communication theory, circuits (94-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 4 Partial differential equations (35-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year