Publications

  • G. Rangarajan and M. Ding (editors), Processes with Long Range Correlations: Theory and Applications (Springer-Verlag, Berlin, 2003).
  • R. L. Bhatia, A. Pal, G. Rangarajan, V. Srinivas and M. Vanninathan (editors), Proceedings of the International Congress of Mathematicians (Hindustan Book Agency, New Delhi, 2010).
  • A. J. Dragt, F. Neri, G. Rangarajan, D. R. Douglas, L. M. Healy and R. D. Ryne, Lie algebraic treatment of linear and nonlinear beam dynamics, Annual Review of Nuclear and Particle Science 38, 455 (1988).
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  • G. Rangarajan and K. C. D. Chan, Transverse resistive wall effects on the dynamics of a bunched electron beam, Physical Review A 39, 4749 (1989).
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  • G. Rangarajan and K. C. D. Chan, Transient state of a bunched electron beam subject to resistive-wall instability, Physical Review A 41, 333 (1990).
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  • F. Neri and G. Rangarajan, Kinematic moment invariants for linear Hamiltonian systems, Physical Review Letters 64, 1073 (1990).
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  • V. S. Ramamurthy, A. K. Mohanty, S. K. Kataria and G. Rangarajan, Sub-barrier fusion in a macroscopic model of nuclear shape evolutions, Physical Review C 41, 2702 (1990).
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  • G. Rangarajan, A. J. Dragt and F. Neri, Solvable map representation of a nonlinear symplectic map, Particle Accelerators 28, 119 (1990).
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  • G. Rangarajan and K. C. D. Chan, Transient resistive-wall effects of a bunched electron beam in a wiggler, Particle Accelerators 33, 135 (1990).
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  • A. J. Dragt, F. Neri and G. Rangarajan, General moment invariants for linear Hamiltonian systems, Physical Review A 45, 2572 (1992).
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  • G. Rangarajan, A. M. Sessler and W. M. Sharp, Discrete cavity model of a standing-wave free-electron laser, Nuclear Instruments and Methods in Physics Research A318, 745 (1992).
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  • G. Rangarajan and F. Neri, Canonical representations of sp(2n,R), Journal of Mathematical Physics 33, 1247 (1992).
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  • S. Krishnagopal, G. Rangarajan and A. M. Sessler, Numerical studies of the multi-cavity free-electron laser, Nuclear Instruments and Methods in Physics Research A 331, A22 (1993).
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  • S. Krishnagopal, G. Rangarajan and A. M. Sessler, The multi-cavity free-electron laser, Optics Communications 100, 518 (1993).
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  • G. Rangarajan, Symplectic completion of symplectic jets, Journal of Mathematical Physics 37, 4514 (1996).
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  • G. Rangarajan, Symplectic integration of Hamiltonian systems, Pramana – Journal of Physics 48, 129 (1997).
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  • G. Rangarajan, Representations of Sp(6,R) and SU(3) carried by homogeneous polynomials, Journal of Mathematical Physics 38, 2710 (1997).
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  • G. Rangarajan and D. A. Sant, A climate predictability index and its applications, Geophysical Research Letters 24, 1239 (1997).
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  • G. Rangarajan and M. Sachidanand, Spherical aberration and its correction using Lie algebraic techniques, Pramana – Journal of Physics 49, 635 (1997).
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  • V. S. Borkar, S. Jain and G. Rangarajan, Dynamics of individual specialization and global diversification in communities, Complexity 3, 50 (1998).
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  • G. Rangarajan, S. Habib and R. D. Ryne, Lyapunov exponents without rescaling and reorthogonalization, Physical Review Letters 80, 3747 (1998).
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  • G. Rangarajan, Jolt factorization of the pendulum map, Journal of Physics A: Mathematical and General 31, 3649 (1998).
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  • V. S. Borkar, S. Jain and G. Rangarajan, Generalized replicator dynamics as a model of specialization and diversity in societies, Advances in Complex Systems 1, 325 (1998).
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  • T. M. Janaki and G. Rangarajan, Lyapunov exponents for continuous-time dynamical systems, Journal of the Indian Institute of Science 78, 267 (1998).
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  • V. S. Borkar, S. Jain and G. Rangarajan, Evolutionary games with two time scales, Physica D 125, 155 (1999).
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  • T. M. Janaki and G. Rangarajan, Dynamic moment invariants for nonlinear Hamiltonian systems, Physical Review E 59, 4577 (1999).
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  • T. M. Janaki, G. Rangarajan, S. Habib and R. D. Ryne, Computation of Lyapunov spectrum for continuous time dynamical systems and discrete maps, Physical Review E 60, 6614 (1999).
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  • G. Rangarajan and M. Ding, First passage time distribution for anomalous diffusion, Physics Letters A 273 , 322 (2000).
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  • G. Rangarajan and M. Sachidanand, Symplectic integration using solvable maps, Journal of Physics A: Mathematical and General 33, 131 (2000).
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  • G. Rangarajan and M. Ding, Anomalous diffusion and the first passage time problem, Physical Review E 62, 120 (2000).
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  • G. Rangarajan and D. A. Sant, Paleoclimatic data from 74KL and Guliya cores: New insights, Geophysical Research Letters 27, 787 (2000).
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  • G. Rangarajan and M. Ding, Integrated approach to the assessment of long range correlation in time series data, Physical Review E 61 4991 (2000).
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  • G. Rangarajan and M. Ding, First passage time problem for biased continuous-time random walks, Fractals 8, 139 (2000).
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  • G. Rangarajan, Symplectic integration of Hamiltonian systems using polynomial maps, Physics Letters A 286, 141 (2001).
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  • G. Rangarajan and M. Ding, Stability of synchronized chaos in coupled dynamical systems, Physics Letters A 296, 204 (2002).
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  • G. Rangarajan and M. Sachidanand, Invariant metric for nonlinear symplectic maps, Pramana — Journal of Physics 58, 477 (2002).
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  • D. A. Sant and G. Rangarajan, Onset of climate change at last Glacial-Holocene transition: Role of the tropical Pacific, Current Science 83, 101 (2002).
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  • Y. Chen, G. Rangarajan and M. Ding, General stability analysis of synchronized dynamics in coupled systems, Physical Review E 67, 026209 (2003).
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  • G. Rangarajan, Y. Chen and M. Ding, Generalized Turing patterns and their selective realization in spatiotemporal systems, Physics Letters A 310, 415 (2003).
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  • G. Rangarajan and M. Ding, First passage distributions for long memory processes, Lecture Notes in Physics 621, 167 (2003).
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  • T. M. Janaki and G. Rangarajan, Expression for a general element of an SO(n) matrix, International Journal of Mathematics and Mathematical Sciences 2003, 3091 (2003).
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  • W. A. Truccolo, G. Rangarajan, Y. Chen and M. Ding, Analyzing stability of equilibrium points in neural networks: A general approach, Neural Networks 16, 1453 (2003).
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  • G. Rangarajan, Polynomial map factorization of symplectic maps, International Journal of Modern Physics C 14, 847 (2003).
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  • B. S. Daya Sagar, G. Rangarajan and D. Veneziano, Fractals in Geophysics, Chaos, Solitons and Fractals 19, 237 (2004).
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  • G. Rangarajan and D. A. Sant, Fractal dimensional analysis of Indian climatic dynamics, Chaos, Solitons and Fractals 19, 285 (2004).
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  • D. A. Sant, K. Krishnan, G. Rangarajan, N. Basavaiah, C. Pandya, M. Sharma and Y. Trivedi, Characterization of flood plain and climate change using multi-proxy records, Journal of Indian Geophysical Union 8, 39 (2004).
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  • Y. Chen, G. Rangarajan, J. Feng and M. Ding, Analyzing multiple nonlinear time series with extended Granger causality, Physics Letters A 324, 26 (2004).
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  • Z. Albo, G. V. Di Prisco, Y. Chen, G. Rangarajan, W. Truccolo, J. Feng, R. P. Vertes and M. Ding, Is partial coherence a viable technique for identifying generators of neural oscillations? Biological Cybernetics 90, 318 (2004).
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  • Y. Chen, G. Rangarajan and M. Ding, Stability of synchronized dynamics and pattern formation in coupled systems: Review of some recent results, Communications in Nonlinear Science and Numerical Simulation 11, 934 (2006).    ›› View PDF
  • R. E. Amritkar and G. Rangarajan, Spatially synchronous extinction of species under external forcing, Physical Review Letters 96, 258102 (2006). (featured in Physics News Update No. 781, 2006)
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  • D. A. Sant, G. Rangarajan, K. Krishnan, N. Basavaiah, C. Pandya, M. Sharma and Y. Trivedi, Flood plain record of southwest Indian monsoon during the last glacial, Man and Environment 31, 9 (2006).
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  • R. Ganapathy, G. Rangarajan and A. K. Sood, Granger causality and cross recurrence plots in rheochaos, Physical Review E 75, 016211 (2007).
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  • H. Nalatore, M. Ding and G. Rangarajan, Mitigating the effects of measurement noise on Granger causality, Physical Review E 75, 031123 (2007).
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  • P. Palaniyandi and G. Rangarajan, Critical lattice size limit for synchronized chaotic state in one- and two-dimensional diffusively coupled map lattices, Physical Review E 76, 027202 (2007).
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  • H. Nalatore, W. Truccolo and G. Rangarajan, Fast robust pattern classification algorithms for real time neuro-motor prosthetic applications, Journal of the Indian Institute of Science 87, 497 (2007).
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  • M. Dhamala, G. Rangarajan and M. Ding, Estimating Granger causality from Fourier and wavelet transforms of time series data, Physical Review Letters 100, 018701 (2008).
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  • M. Dhamala, G. Rangarajan and M. Ding, Analyzing information flow in brain networks with nonparametric Granger causality, NeuroImage 41, 354 (2008).
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  • A. Nedungadi, G. Rangarajan, N. Jain and M. Ding, Analyzing multiple spike trains with nonparametric Granger causality, Journal of Computational Neuroscience 27, 55 (2009).
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  • H. Nalatore, M. Ding and G. Rangarajan, Denoising neural data with state-space smoothing: Method and application, Journal of Neuroscience Methods 179, 131 (2009).
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  • H. Nalatore and G. Rangarajan, Short-window spectral analysis using AMVAR and multitaper methods: A comparison, Biological Cybernetics 101, 71 (2009).
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  • R. E. Amritkar and G. Rangarajan, Stability of multi-cluster synchronization, International Journal of Bifurcation and Chaos 19, 4263 (2009).
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  • G. Rangarajan and S. Sridharan, Invariant norm quantifying nonlinear content of Hamiltonian systems, Applied Mathematics and Computation 217, 2495 (2010).
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  • V. S. Borkar, M. K. Ghosh and G. Rangarajan, Application of nonlinear filtering to credit risk, Operations Research Letters 38, 527 (2010).
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  • S. Ghosh, G. Rangarajan and S. Sinha, Stability of synchronization in a multi-cellular system, Europhysics Letters (EPL) 92, 40012 (2010).
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  • A. Nedungadi, M. Ding and G. Rangarajan, Block coherence: A method for measuring the interdependence between two blocks of neurobiological time series, Biological Cybernetics 104, 197 (2011).
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  • P. Sukumaran, I. A. Parvez, D. A. Sant, G. Rangarajan and K. Krishnan, Profiling of Late Tertiary – Early Quaternary surface in the lower reaches of Narmada Valley using microtremors, Journal of Asian Earth Sciences 41, 325 (2011).
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  • P. Sukumaran, D. A. Sant, K. Krishnan and G. Rangarajan, High resolution facies record on Late Holocene flood plain sediments from lower reaches of Narmada Valley, Western India, Journal of the Geological Society of India 79, 41 (2012).
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  • V. Resmi, G. Ambika, R. E. Amritkar and G. Rangarajan, Amplitude death in complex networks induced by environment, Physical Review E 85, 046211 (2012).
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  • G. Mahmoudabadi, K. Rajagopalan, R. H. Getzenberg, S. Hannenhalli, G. Rangarajan and P. Kulkarni, Intrinsically disordered proteins and conformational noise: Implications in cancer, Cell Cycle 12, 26 (2013).
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  • X. Wen, G. Rangarajan and M. Ding, Multivariate Granger causality: An estimation framework based on factorization of spectral density matrix, Philosophical Transactions of the Royal Society A 371, 20110610 (2013).
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  • X. Wen, G. Rangarajan and M. Ding, Is Granger causality a viable technique for analyzing fMRI data? PLOS ONE 8, e67428 (2013).
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  • P. Gade and G. Rangarajan, Frustration induced oscillator death on networks, Chaos 23, 033104 (2013).
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  • A. Ghosh, D. Paria, G. Rangarajan and A. Ghosh, Velocity fluctuations in helical propulsion: How small can a propeller be, Journal of Physical Chemistry Letters 5, 62 (2014).
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  • D. Sampath, K.R. Sabitha, P. Hegde, H. R Jayakrishnan, B. M. Kutty, S. Chattarji, G. Rangarajan and T.R. Laxmi, A study on fear memory retrieval and REM sleep in maternal separation and isolation stressed rats, Behavioural Brain Research 273, 144 (2014).
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  • H. Nalatore, N. Sasikumar and G. Rangarajan, Effect of measurement noise on Granger causality, Physical Review E 90, 062127 (2014).
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  • A. Ray, N. Sehgal, S. Karunakaran, G. Rangarajan and V. Ravindranath, MPTP activates ASK1-p38 MAPK signaling pathway through TNF-dependent Trx1 oxidation in Parkinsonism mouse model, Free Radical Biology & Medicine 87, 312 (2015).
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  • N. Rangarajan, Z. Fox, A. Singh, P. Kulkarni and G. Rangarajan, Disorder, oscillatory dynamics and state switching: The role of c-Myc, Journal of Theoretical Biology 386, 105 (2015).
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  • S. M. Mooney. K. Rajagopalan, G. Rangarajan and P. Kulkarni, Cancer/testis antigens and obligate participation in multiple hallmarks of cancer: An update, Asian Journal of Andrology 18, 711 (2016).
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  • A. U. Joshi, D. A. Sant, I. A. Parvez, G. Rangarajan, M. A. Limaye, S. Mukherjee, M. J. Charola, M. N. Bhatt and S. P. Mistry, Sub-surface profiling of granite pluton using microtremor method: Southern Aravalli, Gujarat, India, International Journal of Earth Sciences (2017) (accepted for publication).
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  • D. A. Sant, I. A. Parvez, G. Rangarajan, Satish J. Patel, M. N. Bhatt and T. A. S. Salam, Subsurface profiling along Banni Plains and bounding faults, Kachchh, Western India using microtremors method, Journal of Asian Earth Sciences 146, 326 (2017).
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  • P. Palaniyandi and G. Rangarajan, A mathematical model for storage and recall of images using targeted synchronization of coupled maps, Scientific Reports 7, 8921 (2017).
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  • R. Chopra, C. R. Murthy and G. Rangarajan, Statistical tests for detecting Granger causality, IEEE Transactions on Signal Processing 66, 5803 (2018).
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  • X. Lin, S. Roy, M. K. Jolly, F. Bocci, N. P. Schafer, M.-Y. Tsai, Y. Chen, Y. He, A. Grishaev, K. Weninger, J. Orban, P. Kulkarni, G. Rangarajan, H. Levine and J. N. Onuchic, PAGE4 and conformational switching: Insights from molecular dynamics simulations and implications for prostate cancer, Journal of Molecular Biology 430, 2422 (2018).
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  • D. A. Sant, I. A. Parvez, G. Rangarajan, S. J. Patel, T. A. S. Salam and M. N. Bhatt, Subsurface imaging of brown coal bearing Tertiary sedimentaries – Deccan Trap interface using microtremor method, Journal of Applied Geophysics 159, 362 (2018).
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  • N. Vishnu Priya, M. Senthilvelan, G. Rangarajan and M. Lakshmanan, On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrodinger equation, Physics Letters A 383, 15 (2019).
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  • X. Lin, P. Kulkarni, F. Bocci, N. Schafer, S. Roy, M-Y. Tsai, Y. He, Y. Chen, K. Rajagopalan, S. Mooney, Y. Zeng, K. Weninger, A. Grishaev, J. Onuchic, H. Levine, P. Wolynes, R. Salgia, G. Rangarajan, V. Uversky, J. Orban and M. K. Jolly, Structural and dynamical order of a disordered protein: molecular insights into conformational switching of PAGE4 at the systems level, Biomolecules 9, 77 (2019).
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  • G. A. R. S. R. K. Kashyap, D. Bapat, D. Das, R. D. Gowaikar, R. E. Amritkar, G. Rangarajan, V. Ravindranath and G. Ambika, Synapse loss and progress of Alzheimer’s disease – A network model, Scientific Reports 9, 6555 (2019).
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  • N. Vishnu Priya, M. Senthilvelan and G. Rangarajan, On the role of four-wave mixing effect in the interactions between nonlinear modes of coupled generalized nonlinear Schrodinger equation, Chaos 29, 123135 (2019).
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  • P. Sukumaran, D. A. Sant, K. Krishnan, G. Rangarajan, N. Basavaiah and J-L. Schwenninger, Multi-proxy records of late Holocene flood events from the lower reaches of the Narmada River, Western India, Frontiers in Earth Science 9, 634354 (2021).
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  • P. Kulkarni, S. Achuthan, S. Bhattacharya, M. K. Jolly, S. Kotnala, V. B. P. Leite, A. Mohanty, J. Orban, S. Roy, G. Rangarajan and R. Salgia, Protein conformational dynamics and phenotypic switching, Biophysical Reviews 13, 1127–1138 (2021).
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  • A. Nam, A. Mohanty, S. Bhattacharya, S. Kotnala, S. Achutan, K. Hari, S. Srivastava, L. Guo, A. Nathan, R. Chatterjee, M. Jain, M. W. Nasser, S. Batra, G. Rangarajan, E. Massarelli, H. Levine, M. K. Jolly, P. Kulkarni and R.Salgia, Dynamic phenotypic switching and group behavior help non-small cell lung cancer cells evade chemotherapy, Biomolecules 12, 8 (2021).
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  • P. Kulkarni, S. Bhattacharya, S. Achuthan, A. Behal, M. K. Jolly, S. Kotnala, A. Mohanty, G. Rangarajan, R. Salgia and V. Uversky, Intrinsically disordered proteins: critical components of the wetware, Chemical Reviews 122, 6614 (2022).
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  • S. K. Mody and G. Rangarajan, Sparse representations of high dimensional neural data, Scientific Reports 12, 7295 (2022).
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  • N. Vishnu Priya, S. Monisha,  M. Senthilvelan and G. Rangarajan, Nth order smooth positon and breather-positon solutions of a generalized nonlinear Schrodinger equation, The European Physical Journal Plus 137, 646 (2022).
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  • T. R. Sharma, G. Rangarajan and P. M. Gade, Interpolation between random walk and self-avoiding walk by avoiding marked sites, Journal of Statistical Mechanics (2022) (accepted for publication).
  • G. Rangarajan and V. S. Ramamurthy, The effect of the neck degree of freedom in sub-barrier fusion, Proceedings of the Nuclear Physics and Solid State Physics Symposium, 26B, 19 (1983).
  • G. Rangarajan and K. C. D. Chan, Transverse resistive wall instability of a bunched electron beam in a wiggler, Proceedings of the 1988 Linear Accelerator Conference, 370 (1989).
  • G. Rangarajan, F. Neri and A. J. Dragt, Generalized emittance invariants, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1280 (1989).
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  • A. J. Dragt, F. Neri, J. v. Zeijts and G. Rangarajan, Release of Marylie 3.0, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1283 (1989).
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  • W. M. Sharp, G. Rangarajan, A. M. Sessler and J. S. Wurtele, Phase stability of a standing-wave free-electron laser, Proceedings of the SPIE Conference 1407, 535 (1991).
  • G. Rangarajan, A. J. Dragt and F. Neri, Invariant metrics for Hamiltonian systems, Proceedings of the 1991 IEEE Particle Accelerator Conference, 1630 (1991).
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  • A. J. Dragt, I. M. Gjaja and G. Rangarajan, Kick factorization of symplectic maps, Proceedings of the 1991 IEEE Particle Accelerator Conference, 1621 (1991).
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  • G. Rangarajan and Minita Sachidanand, Solvable map method for integrating nonlinear Hamiltonian systems, in Lecture Notes in Computer Science (Proceedings of the International Conference on Computational Science), eds. V. N. Alexandrov, J. J. Dongarra and C. J. K. Tan (Springer-Verlag, Berlin, 2001) 894.
  • G. Rangarajan, Y. Chen and M. Ding, Synchronized chaotic state: Stability and pattern formation, in Proceedings of the National Conference on Nonlinear Systems & Dynamics, 93 (2003).
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  • G. Rangarajan, Long term stability studies of particle storage rings using polynomial maps, in Proceedings of the International Conference on Industrial Mathematics, eds. M. C. Joshi, A. K. Pani and S. V. Sabnis, 357 (2006).
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  • A. J. Dragt, R. L. Gluckstern, F. Neri and G. Rangarajan, Theory of emittance invariants, Lecture Notes in Physics 343, 94 (1989).
  • G. Rangarajan and A. M. Sessler, Sensitivity studies of a standing-wave free-electron laser, in Advanced Accelerator Concepts, ed. J. S. Wurtele (American Institute of Physics, New York, 1993) p.156.
  • G. Rangarajan, S. Habib, and R. D. Ryne, A new method for computing Lyapunov exponents, in Nonlinear Dynamics and Brain Functioning, eds. N. Pradhan, P. E. Rapp and R. Sreenivasan (Nova Science Publishers, New York, 1999).
  • G. Rangarajan, Fractals in geophysics, in Application of Fractals in Earth Sciences, ed. V. P. Dimri (A. A. Balkema Rotterdam, 2000).
  • G. Rangarajan, Applications of Lie algebraic techniques to nonlinear Hamiltonian systems, in Nonlinear Phenomena, eds. S. K. Malik, M. K. Chandrasekhar and N. Pradhan (Indian National Science Academy, New Delhi, 2000) p. 1015.
  • G. Rangarajan and M. Sachidanand, An invariant norm for nonlinear Hamiltonian systems, in Nonlinear Systems, eds. M. Lakshmanan and R. Sahadevan (Narosa Publishers, New Delhi, 2002).
  • V. S. Borkar, S. Jain and G. Rangarajan, Collective behaviour and diversity in economic communities: Some insights from an evolutionary game, in The Application of Econophysics, ed. H. Takayasu (Springer-Verlag, Tokyo, 2003) p. 330.
  • M. Ding and G. Rangarajan, First passage time problem: A Fokker-Planck approach, in New Directions in Statistical Physics — Econophysics, Bioinformatics, and Pattern Recognition, ed. L. T. Wille (Springer-Verlag, Berlin, 2004) p. 31.
  • D. A. Sant and G. Rangarajan, Study of Indian climate variability using predictability indices, in Modern Applied Mathematics, ed. J. C. Misra (Narosa, New Delhi, 2005) p. 145.
  • M. Ding and G. Rangarajan, Parametric spectral analysis, in Encyclopedia of Computational Neuroscience: SpringerReference, eds. D. Jaeger and R. Jung (Springer-Verlag, Berlin Heidelberg, 2015).
  • G. Rangarajan, A brief introduction to chaotic behaviour in dissipative systems, Mathematics Newsletter 4, 43 (1994) (invited contribution).
  • G. Rangarajan, Kolmogorov-Arnold-Moser Theorem, Resonance (Journal of Science Education) 3, no. 4, 43 (1998) (invited contribution).
  • G. Rangarajan, Review of “A Brief Introduction to Numerical Analysis” by E. E. Tyrtyshnikov, Current Science 74, 918 (1998).
  • G. Rangarajan, Review of “Fractal Geometry in Architecture and Design” by C. Bovill, Journal of the Indian Institute of Science 78, 158 (1998).
  • G. Rangarajan, Review of “The Computational Beauty of Nature” by Gary William Flake, Journal of the Indian Institute of Science 78, 416 (1998).
  • G. Rangarajan, Review of “Fractals in Biology and Medicine (Volume II)” by G. A. Losa, D. Merlini, T. F. Nonnenmacher and E. R. Weibel, Current Science 76, 1588 (1999).
  • G. Rangarajan, Review of “Mathematics and its History” by J. F. Stillwell, Current Science 83 1593 (2002).
  • G. Rangarajan, Review of “Symmetry in Mechanics” by S. F. Singer, Journal of the Indian Institute of Science 81, 611 (2003).
  • G. Rangarajan, Review of “Statistical analysis of fMRI data” by F. G. Ashby, Current Science (in press) (2013). Most recent revision December 1, 2019