M. Lakshmanan and D. V. Senthilkumar, Monograph on “Dynamics of Nonlinear Time-delay Systems” in the Springer Series in Synergetics, Springer-Verlag, Berlin, 313 pages, (2011).
D. V. Senthilkumar, M. Manju Shrii and J. Kurths, Chapter 31 on “Phase and complete synchronizations in time-delay systems ” in the book on the 75th birthday of Prof. Leon Chua entitled “Chaos, CNN, Memristors and Beyond” World Scientific (2013)
Wei Zou, D. V. Senthilkumar, Meng Zhan and J. Kurths, “Quenching, aging and reviving in coupled dynamical networks”, Physics Reports, 931, 1-72, (2021).
Publications (Peer Reviewed)
2024
94. Akash Yadav, Jan Fialkowski, Rico Berner, V. K. Chandrasekar, and D. V. Senthilkumar, Disparity-driven heterogeneous nucleation in finite-size adaptive networks, Phys. Rev. E 109, L052301(1-6) (2024).
93. Akash Yadav, Krishnanand J, V. K. Chandrasekar, Wei Zou, Jürgen Kurths, and D. V. Senthilkumar, Exotic swarming dynamics of high-dimensional swarmalators, Phys. Rev. E 109, 044212(1-12) (2024).
92. Uday Singh, Wei Zou, V. K. Chandrasekar, and D. V. Senthilkumar, Robust network of globally coupled heterogeneous limit cycle oscillators due to inertia, Chaos, Solitons and Fractals 181, 114691(1-8) 2024.
91. Dweepabiswa Bagchi, A. Ramesh, V. K. Chandrasekar, and D. V. Senthilkumar, Generalized synchronization in a tritrophic food web metacommunity, J. Theor. Bio. 582, 111759(1-11) 2024.
90. Rumi Kar, Akash Yadav, V. K. Chandrasekar, and D. V. Senthilkumar, Effect of higher-order interactions on chimera states in two populations of Kuramoto oscillators, Chaos34, 023114(1-10) 2024.
89. S. Thamizharasan, V. K. Chandrasekar, M. Senthilvelan, and D. V. Senthilkumar, Hebbian and anti-Hebbian adaptation-induced dynamical states in adaptive networks, Phys. Rev. E109, 014221(1-14) 2024.
88. M. Manoranjani, B. Subhashree, D. V. Senthilkumar, and V. K. Chandrasekar, Repertoire of dynamical states in dissimilarly coupled Van der Pol oscillators, Chaos, Solitons and Fractals 179, 114421(1-7) 2024.
2023
87. V. R. Saiprasad, V. Vikram, R. Gopal, D. V. Senthilkumar, and V. K. Chandrasekar, Effect of vaccination rate in multi-wave compartmental model, Eur. Phys. J. Plus, 138, 995(1-11) 2023.
86. Uday Singh, V. K. Chandrasekar, and D. V. Senthilkumar, Robustness of mixed population under heterogeneity, Eur. Phys. J. Plus, 138, 948(1-9) 2023.
85. M. Manoranjani, V. R. Saiprasad, R. Gopal, D. V. Senthilkumar, and V. K. Chandrasekar, Phase transitions in an adaptive network with the global order parameter adaptation, Phys. Rev. E 108, 044307(1-11) 2023.
84. M. Manoranjani, D. V. Senthilkumar, and V. K. Chandrasekar, Diverse phase transitions in Kuramoto model with adaptive mean-field coupling breaking the rotational symmetry, Chaos, Solitons and Fractals 175, 113981(1-8) 2023.
83. V. Ragavan, M. Manoranjani, D. V. Senthilkumar, and V. K. Chandrasekar, Multistable chimera states in a smallest population of three coupled oscillators, Phys. Rev. E 107, 044209(1-8) 2023.
82. M. Manoranjani, D. V. Senthilkumar, and V. K. Chandrasekar, Abrupt symmetry-preserving transition from the chimera state, Phys. Rev. E 107, 034212(1-9) 2023.
81. Wei Zou, S. He, D. V. Senthilkumar and J. Kurths, Solvable dynamics of coupled high-dimensional generalized limit-cycle oscillators, Phys. Rev. Lett. 130, 107202(1-7) 2023.
80. M. Manoranjani, Shamik Gupta, D. V. Senthilkumar, and V. K. Chandrasekar, Generalization of the Kuramoto model to the Winfree model by a symmetry breaking coupling, Eur. Phys. J. Plus, 138, 144(1-12) 2023.
79. V. R. Saiprasad, R. Gopal, D. V. Senthilkumar, and V. K. Chandrasekar, Monkeypox: a model free analysis, Eur. Phys. J. Plus, 138, 138(1-8) 2023.
78. M. Manoranjani, D. V. Senthilkumar, and V. K. Chandrasekar, Abrupt desynchronization and abrupt transition to pi-state in globally coupled oscillator simplexes with contrarians and conformist, Chaos, Solitons and Fractals, 167, 113018(1-8) 2023.
2022
77. M. Manoranjani, D. V. Senthilkumar, Wei Zou, and V. K. Chandrasekar, Quenching of oscillation by the limiting factor of diffusively coupled oscillators, Phys. Rev. E, 106, 064204(1-11) 2022.
76. Dweepabiswa Bagchi, R. Arumugam, V. K. Chandrasekar and D. V. Senthilkumar, Metacommunity stability and persistence for predation turnoff in selective patches, Ecological Modelling, 470, 110014(1-11) (2022).
75. Wei Zou, Yuxuan Chen, D. V. Senthilkumar, and J. Kurths, Oscillation quenching in diffusively coupled dynamical networks with inertial effects, Chaos, 32, 041102(1-8) 2022.
74. S. Thamizharasan, V. K. Chandrasekar, M. Senthilvelan, Rico Berner, Eckehard Schoell, and D. V. Senthilkumar, Exotic states induced by coevolving connection weights and phases in complex networks, Phys. Rev. E, 105, 034312(1-11) 2022.
73. Snehasish Roy Chowdhury, Ramesh Arumugam, Wei Zou, V. K. Chandrasekar and D. V. Senthilkumar, Role of limiting dispersal on metacommunity stability and persistence, Phys. Rev. E, 105, 034309(1-14) 2022.
72. M. Manoranjani, R. Gopal, D. V. Senthilkumar, V. K. Chandrasekar and M. Lakshmanan, Influence of asymmetric parameters in higher-order coupling with bimodal frequency distribution, Phys. Rev. E, 105, 034307(1-10) 2022.
2021
71. M. Manoranjani, R. Gopal, D. V. Senthilkumar and V. K. Chandrasekar, Role of phase-dependent influence function in the Winfree model of coupled oscillators, Phys. Rev. E, 104, 064206(1-8) 2021.
70. Uday Singh, Ankit Raina, V. K. Chandrasekar and D. V. Senthilkumar, Nontrivial amplitude death in coupled parity-time-symmetric Lienard oscillators, Phys. Rev. E, 104, 054204(1-8) 2021.
69. Ramesh Arumugam, V. K. Chandrasekar and D. V. Senthilkumar, Metacommunity persistence to environmental change: Stabilizing and destabilizing effects of individual species dispersal, Phys. Rev. E, 104, 024202(1-14) 2021.
68. Ramesh Arumugam, V. K. Chandrasekar and D. V. Senthilkumar, Rate-induced tipping and regime shifts in a spatial ecological system, Eur. Phys. J. Spec. Top. 230, 3221-3227, 2021.
67. I. Gowthaman, V. K. Chandrasekar, D. V. Senthilkumar, and M. Lakshmanan, Symmetry-breaking-induced tipping to aging, Eur. Phys. J. Spec. Top. 230, 3181-3188, 2021.
66. I. Gowthaman, Uday Singh, V. K. Chandrasekar and D. V. Senthilkumar, Chaos, Solitons and Fractals, 142, 110396(1-5) 2021.
2020
65. Uday Singh, K. Sathiyadevi, V. K. Chandrasekar, W. Zou, J. Kurths and D. V. Senthilkumar, Trade-off between filtering and symmetry breaking mean-field coupling in inducing macroscopic dynamical states, New J. Phys. 22 093024(1-11) 2020.
64. K. Ponrasu, Uday Singh, K. Sathiyadevi, D. V. Senthilkumar and V. K. Chandrasekar, Symmetry breaking dynamics induced by mean-field density and low-pass filter, Chaos, 30, 053120 (1-9), 2020.
63. I. Gowthaman, K. Sathiyadevi, V. K. Chandrasekar and D. V. Senthilkumar, Symmetry breaking-induced state-dependent aging and chimera-like death state, Nonlinear Dynamics, 101 53-64, 2020.
2019
62. K. Ponrasu, I. Gowthaman V. K. Chandrasekar and D. V. Senthilkumar, Aging transition under weighted conjugate coupling, Europhys. Lett.,128, 58003 (2019).
61. K. Sathiyadevi, I. Gowthaman, D. V. Senthilkumar and V. K. Chandrasekar, Aging transition in the absence of inactive oscillators, Chaos, 29 123117 (2019).
60. Krishna Kumar, D. Biswas, T. Banerjee, W. Zou, J. Kurths and D. V. Senthilkumar, Revival and death of oscillation under mean-field coupling: Interplay of intrinsic and extrinsic filtering, Phys. Rev. E,100 052212 (2019).
59. D. V. Senthilkumar and V. K. Chandrasekar, Local and global chimera states in a four oscillators system, Phys. Rev. E, 100 032211(1-9), 2019
58. K. Sathiyadevi, V. K. Chandrasekar, and D. V. Senthilkumar, Inhomogeneous to homogeneous dynamical states through symmetry breaking dynamics, Nonlinear Dynamics, 98327-340, 2019.
57. K. Sathiyadevi, V. K. Chandrasekar, D. V. Senthilkumar, and M. Lakshmanan, Long-range interaction induced collective dynamical behaviors, J. Phys. A: Math. Theor.52, 184001(1-15), 2019.
56. Wei Zou, Jorge Luis Ocampo-Espindola, D. V. Senthilkumar, I. Z. Kiss, M. Zhan and J. Kurths, Quenching and revival of oscillations induced by coupling through adaptive variables, Phys. Rev. E, 99, 032214(1-6), 2019.
55.K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar, and M. Lakshmanan, Frustration induced transient chaos, fractal and riddled basins in coupled limit cycle oscillators, Communications in Nonlinear Science and Numerical Simulation, 72, 586-599 2019.
2018
54. K. Sathiyadevi, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan, Imperfect amplitude mediated chimera states in a nonlocally coupled network, Front. Appl. Math. Stat.4, 58(1-9) (2018)
53. K. Sathiyadevi, V. K. Chandrasekar, and D. V. Senthilkumar, Stable amplitude chimera in a network of coupled Stuart-Landau oscillators, Phys. Rev. E, 98, 032302(1-11) 2018.
52. K. Sathiyadevi, V. K. Chandrasekar, D. V. Senthilkumar, and M. Lakshmanan, Distinct collective states due to trade-off between attractive and repulsive couplings, Phys. Rev. E, 97, 032207(1-10) 2018.
51.R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators, Communications in Nonlinear Science and Numerical Simulation 59, 30-49 (2018).
2017
50. K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar, and M. Lakshmanan, Spontaneous Symmetry Breaking due to the trade-off between attractive and repulsive couplings, Phys. Rev. E, 95, 042301(1-11) 2017.
2016
49. K. Suresh, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems, Chaos, Solitons and Fractals, 93, 235(1-11) 2016.
48. V.K. Chandrasekar, R. Gopal , D. V. Senthilkumar and M. Lakshmanan, Phase-flip chimera induced by environmental nonlocal coupling, Phys. Rev. E 94 012208(1-10) (2016).
47. D. V. Senthilkumar, K. Suresh, V. K. Chandrasekar, Wei Zou, Syamal K. Dana, Thamilmaran Kathamuthu, and Juergen Kurths, Experimental demonstration of revival of oscillations from death in coupled nonlinear oscillators, Chaos94 043112(1-6) (2016).
2015
46. V. K. Chandrasekar, R. Suresh, D. V. Senthilkumar and M. Lakshmanan, Coexisting coherent and incoherent domains near saddle-node bifurcation, Europhys. Lett.111 60008 (2015).
45. Wei Zou, D. V. Senthilkumar, Raphael Nagao, Istvan Z. Kiss, Yang Tang, Aneta Koseska, Jinqiao Duan and J. Kurths, A simple and efficient approach for restoration of rhythmicity in diffusively coupled dynamical networks, Nature Communications6 7709 (2015).
44. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, Effect of asymmetry parameter on the dynamical states of nonlocally coupled nonlinear oscillators, Phys. Rev. E91 062916(1-9) (2015).
2014
43. Wei Zou, D. V. Senthilkumar, Jinqiao Duan and J. Kurths, Emergence of amplitude and oscillation death in identical coupled oscillators, Phys. Rev. E90 (2014) 032906(1-5).
42. R. Suresh, K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan and J. Kurths, Dynamic environment coupling induced synchronized states in coupled time-delayed electronic circuits, Int. J. Bifurcation Chaos24 (2014) 1450067(1-16).
2013
41. Wei Zou, D. V. Senthilkumar , Aneta Koseska and J. Kurths, Generalizing the transition from amplitude to oscillation death in coupled oscillators, Phys. Rev. E88 (2013) 050901(1-5) (Rapid Communication).
40. D. V. Senthilkumar, R. Suresh, M. Lakshmanan and J. Kurths, Global generalized synchronization in networks of different time-delay systems, Europhys. Lett.103 (2013) 50010(1-6).
39. Wei Zou, D. V. Senthilkumar, Yang Tang, Ye Wu, Jainquan Lu and J. Kurths, Oscillation death in nonlinear oscillators with mixed time-delayed coupling, Phys. Rev. E 88 (2013) 032916(1-9).
38. Wei Zou, D. V. Senthilkumar, M. Zhan and J. Kurths, Reviving oscillations in coupled nonlinear oscillators, Phys. Rev. Lett.111 (2013) 014191(1-5).
37. R. Suresh, K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan and J. Kurths, Zero-lag synchronization in coupled time-delayed piecewise linear electronic circuits, Eur. Phys. J. Special Topics222 (2013) 729-744.
36.D. V. Senthilkumar, Luis Pesquera, S. Banerjee, S. Ortin, and J. Kurths, Exact synchronization bound for an unidirectionally coupled time-delay system, Phys. Rev. E87 (2013) 044902(1-4).
2012
35. X. L. Yang, D. V. Senthilkumar and J. Kurths, Nontrivial influences of information transmission delays on noise-induced spatiotemporal patterns in complex neuronal networks, Chaos22 (2012) 043159(1-7).
34. Wei Zou, D. V. Senthilkumar, Yang Tang and J. Kurths, Stabilizing oscillation death by multicomponent coupling with mismatched delays, Phys. Rev. E 86 (2012) 036210(1-9).
33. R. Suresh, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Global and partial phase synchronizations in arrays of piecewise linear time-delay systems, Int. J. Bifurcation Chaos22 (2012) 1250178(1-25).
32. R. Suresh, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Transition to complete synchronization and global intermittent synchronization in an array of time-delay systems, Phys. Rev. E86 (2012) 016212(1-7).
31. M. Manju Shrii, D. V. Senthilkumar and J. Kurths, Delay-induced synchrony in complex networks with conjugate coupling, Phys. Rev. E 85 (2012) 057203(1-5).
30. K. Srinivasan, D. V. Senthilkumar, I. Raja Mohamed, K. Murali, M. Lakshmanan and J. Kurths, Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua’s circuits without delay, Chaos 22 (2012) 023124(1-9).
29. M. Manju Shrii, D. V. Senthilkumar and J. Kurths, Delay coupling enhances synchronization in complex networks, Europhys. Lett.98 (2012) 10003(1-6).
28. D. V. Senthilkumar, M. Manju Shrii and J. Kurths, Noise-enhanced phase synchronization in time-delayed systems, Phys. Rev. E85 (2012) 026218(1-6).
27. E. J. Ngamga, D. V. Senthilkumar, A. Prasad, P. Parmananda, N. Marwan, and J. Kurths, Distinguishing dynamics using recurrence-time statistics, Phys. Rev. E85 (2012) 026217(1-10).
2011
26. X. L. Yang, D. V. Senthilkumar, Z. K. Sun and J. Kurths, Key role of time-delay and connection topology in shaping the dynamics of noisy genetic regulatory networks, Chaos21 (2011) 047522(1-6).
25. D. V. Senthilkumar, R. Suresh, Jane H. Sheeba, M. Lakshmanan and J. Kurths, Delay-enhanced coherent chaotic oscillations in networks with large disorders, Phys. Rev. E84 (2011) 066206(1-13).
24. K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan and J. Kurths, Synchronization transitions in coupled time-delay electronic circuit with a threshold nonlinearity, Chaos21 (2011) 023119(1-11).
2010
23. E. J. Nagmga, D. V. Senthilkumar, and J. Kurths, Dynamics between order and chaos revisited, Eur. Phys. J. Special Topics191 (2010) 15-27.
22. D. V. Senthilkumar, K. Srinivasan, K. Murali, M. Lakshmanan and J. Kurths, Experimental confirmation of chaotic phase synchronization in coupled time-delay electronic circuits, Phys. Rev. E 82 (2010) 065201 (Rapid Communication).
21. F. M. Moukam Kakmeni, S. Bowong, D. V. Senthilkumar, and J. Kurths, Practical time-delay synchronization of a periodically modulated self-excited oscillators with uncertainties, Chaos20 (2010) 043121(1-9).
20. U. E. Vincent, A. Kenfack, D. V. Senthilkumar, D. Mayer and J. Kurths, Current reversals and synchronization in coupled ratchets, Phys. Rev. E82 (2010) 046208(1-5).
19. D. V. Senthilkumar , and J. Kurths, Characteristics and synchronization of time-delay systems driven by a common noise, Eur. Phys. J. Special Topics187 (2010) 87-93.
18. R. Suresh, D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Global phase synchronization in an array of time-delay systems, Phys. Rev. E82 (2010) 016215(1-10).
17. D. V. Senthilkumar, P. Muruganandam, M. Lakshmanan and J. Kurths, Scaling and synchronization in a ring of diffusively coupled nonlinear oscillators, Phys. Rev. E81 (2010) 066219(1-11).
2009
16. K. Srinivasan, D. V. Senthilkumar, R. Suresh, K. Thamilmaran, and M. Lakshmanan, Experimental realization of strange nonchaotic attractors in a periodically pulsed electronic circuit, Int. J. Bifurcation Chaos19 (2009) 4131-4163.
15. D. V. Senthilkumar, J. Kurths and M. Lakshmanan, Stability of synchronization in coupled time-delay systems using Krasvoskii-Lyapunov theory, Phys. Rev. E79 (2009) 066208(1-4).
14. D. V. Senthilkumar, J. Kurths and M. Lakshmanan, Inverse synchronizations in coupled time-delay systems with inhibitory coupling, Chaos 19 (2009) 023107(1-9).
13. D. V. Senthilkumar and M. Lakshmanan, Intermittency Transition to Generalized Synchronization in Coupled Ikeda Time-delay Systems, Nonlinear Dynamics (2009) 397-400.
2008
12. D. V. Senthilkumar, K. Srinivasan, K. Thamilmaran, and M. Lakshmanan, Bubbling route to strange nonchaotic attractor in a nonlinear series $LCR$ circuit with a nonsinusoidal force, Phys. Rev. E78 (2008) 066211(1-10).
11. D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Phase synchronization in unidirectionally coupled Ikeda time-delay systems, Eur. Phys. J. Special Topics164 (2008) 35-44.
10. D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Transition from phase to generalized synchronization in time-delay systems, Chaos18 (2008) 023118(1-12).
2007
9. D. V. Senthilkumar and M. Lakshmanan, Intermittent transition to generalized synchronization in coupled time-delay systems, Phys. Rev. E76 (2007) 066210(1-13).
8. Prashant M. Gade, D. V. Senthilkumar, Sukratu Barve and Sudeshna Sinha, Power-law Persistence characterizes Travelling Waves in Coupled Circle Maps, Phys. Rev. E75 (2007) 066208(1-5).
7. D. V. Senthilkumar and M. Lakshmanan, Delay time modulation induced oscillating synchronization and intermittent anticipatory/lag synchronization in time-delay systems, Chaos 17 (2007) 013112(1-11).
2006
6. K. Thamilmaran, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, Experimental realization of strange nonchaotic attractors in a quasiperiodically forced electronic circuit, Phys. Rev. E74 (2006) 036205(1-11).
5. D. V. Senthilkumar, M. Lakshmanan and J. Kurths, Phase synchronization in time-delay systems, Phys. Rev. E74 (2006) 035205 Rapid Communication.
2005
4. K. Thamilmaran, D. V. Senthilkumar and M. Lakshmanan, Strong Chaos in a Forced Negative Conductance Series LCR Circuit, Int. J. Bifurcation Chaos 15 (2005) 637-651.
3. D. V. Senthilkumar and M. Lakshmanan, Existence of anticipatory, complete and lag synchronizations in time-delay systems, Journal of Physics:Conference Series23 (2005) 300-308.
2. D. V. Senthilkumar and M. Lakshmanan, Bifurcation and Chaos in Time Delayed Piecewise Linear Dynamical Systems, Int. J. Bifurcation Chaos15 (2005) 2895-2912.
1. D. V. Senthilkumar and M. Lakshmanan, Transition from anticipatory to lag synchronization via complete synchronization in time-delay systems, Phys. Rev. E71 (2005) 016211(1-11).
