Interests
Experience
Publications
Interests
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Dynamical Systems Theory
- Nonlinear Systems
- Complex Systems
- Time-delay Systems
- Chaos, Hyperchaos
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Stability & Resilience Concepts
- Multistability
- Basin Stability
- Integral Stability
- Ecological Resilience
- Engineering Resilience
- Stability & Resilience in Complex Networks of Dynamical Systems
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Network Science
- Emergent Phenomena in Complex Networks of Dynamical Systems: Synchronization, Amplitude Death, Clustering, Phase-flip, Splay States, Chimera States
- Dynamical Processes on Scale-free, Hierarchical, Small-world, Bipartite, Adaptive Networks
- Controllability of Complex Networks
Experience
+ Postdoctoral: Network Dynamics
Advisor(s): Prof. Adilson E. Motter (NU, USA)
Duration: Jan 2018 - Apr 2019
+ Ph.D. Dissertation: Stability of dynamical processes on complex networks
Advisor(s): Prof. Dr. Dr. h.c. mult. Jürgen Kurths ( HU & PIK, Germany) & Prof. Dr. Reik V. Donner (PIK, Germany)
Duration: Jul 2014 - Apr 2018
URI: http://edoc.hu-berlin.de/18452/19867
Summary: The project comprised the development of a framework for the assessment of stability & resilience of (multistable) complex (networked) dynamical systems against random perturbations. In this context, the concepts of basin stability, ecological resilience & engineering resilience were utilized in identifying the crucial aspects characterizing multistability & quantifying the same. This culminated into the proposal of notable stability & resilience measures of multiple-node basin stability, integral stability & single-node recovery time as well as their applications to paradigmatic & practical complex dynamical systems.
+ M.S. Dissertation: Dynamics in networks of delay coupled nonlinear time-delay systems
Advisor(s): Prof. Soumitro Banerjee ( IISER Kolkata, India) & Prof. G. Ambika ( IISER Pune, India)
Duration: Aug 2013 - May 2014
URI: http://eprints.iiserkol.ac.in/218
Summary: The project involved mathematically, computationally & experimentally studying the dynamics exhibited by networks of delay coupled nonlinear time-delay systems (specifically, the Mackey-Glass system).
+ Time-delay systems: From the perspective of the Mackey-Glass system
Advisor(s): Prof. G. Ambika (IISER Pune, India)
Duration: May 2012 - Jul 2013
Summary: The project involved studying mathematical & computational techniques used to analyze the dynamics of time-delay systems, their bifurcation structure, stability analysis as well as synchronization in coupled Mackey-Glass systems & multi delay systems. The time-delay systems were simulated in C & MATLAB.
+ Nonlinear dynamics in glow discharge plasma
Advisor(s): Prof. A. N. Sekar Iyengar (SINP, Kolkata, India) & Prof. Prasanta K. Panigrahi ( IISER Kolkata, India)
Duration: Jun 2010 - Jul 2013
Summary: The project involved experiments & rigorous computational analysis of data generated from floating potential fluctuations in argon DC glow discharge plasma under magnetic field. Various aspects of the system, e.g., multi-fractality, transient phenomena, long- & short-term periodic behaviour, etc. were studied using Fourier- & wavelet-based methods of Digital Signal Processing (DSP, in MATLAB).
+ Atmospheric neutrino oscillation
Advisor(s): Prof. D. P. Roy (HBCSE - TIFR, Mumbai, India)
Duration: Jun 2010 - May 2012
Summary: The project involved a review of the phenomenon of neutrino mass mixing & oscillation, atmospheric neutrino oscillation, three neutrino oscillation formalism & overview of several contemporary neutrino experiments.
Publications
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Mitra, C., Eroglu, D., & Motter, A. E. (in preparation).
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Mitra, C., Rey, D., & Motter, A. E. (in preparation).
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Choudhary, A., Mitra, C., Kohar, V., Sinha, S., & Kurths, J. (2017),
Small-world networks exhibit pronounced intermittent synchronization,
Chaos (Fast Track), 27(11), 111101.
(DOI: 10.1063/1.5002883)
Highlight: Featured article in Chaos (Issue: November 2017)
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Mitra, C., Kurths, J., & Donner, R. V. (2017),
Rewiring hierarchical scale-free networks: Influence on synchronizability and topology,
EPL (Europhysics Letters), 119, 30002.
(DOI: 10.1209/0295-5075/119/30002)
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Mitra, C., Kittel, T., Choudhary, A., Kurths, J., & Donner, R. V. (2017),
Recovery time after localized perturbations in complex dynamical networks,
New Journal of Physics, 19(10), 103004.
(DOI: 10.1088/1367-2630/aa7fab)
Highlight: Selected for New Journal of Physics exclusive 'Highlights of 2017' collection
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Mitra, C., Choudhary, A., Sinha, S., Kurths, J., & Donner, R. V. (2017),
Multiple-node basin stability in complex dynamical networks,
Physical Review E, 95(3), 032317.
(DOI: 10.1103/PhysRevE.95.032317)
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Mitra, C., Kurths, J., & Donner, R. V. (2015),
An integrative quantifier of multistability in complex systems based on ecological resilience,
Nature Scientific Reports, 5, 16196.
(DOI: 10.1038/srep16196)
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Giri, B. K., Mitra, C., Panigrahi, P. K., & Iyengar, A. N. S. (2014),
Multi-scale dynamics of glow discharge plasma through wavelets: Self-similar behavior to neutral turbulence and dissipation,
Chaos, 24(4), 043135.
(DOI: 10.1063/1.4903332)
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Mitra, C., Ambika, G., & Banerjee, S. (2014),
Dynamical behaviors in time-delay systems with delayed feedback and digitized coupling,
Chaos, Solitons & Fractals, 69, 188-200.
(DOI: 10.1016/j.chaos.2014.10.001)
Conference & Workshop Presentations
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Mitra, C., Kittel, T., Choudhary, A., Kurths, J., & Donner, R. V.,
Recovery time after localized perturbations in complex dynamical networks (Oral),
Conference on Complex Systems (CCS) (2017).
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Mitra, C., Choudhary, A., Sinha, S., Kurths, J., & Donner, R. V.,
Multi-node basin stability in complex dynamical networks (Oral),
XXXVII Dynamics Days Europe (2017).
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Mitra, C., Choudhary, A., Sinha, S., Kurths, J., & Donner, R. V.,
Multi-node basin stability in complex dynamical networks (Oral),
Deutsche Physikalische Gesellschaft (DPG) Spring Meeting (2017).
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Mitra, C., Kurths, J., & Donner, R. V.,
An integrative quantifier of multistability in complex systems based on ecological resilience (Poster),
International seminar & workshop on Multistability and Tipping: From Mathematics and Physics to Climate and Brain (2016).
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Mitra, C., Kurths, J., & Donner, R. V.,
An integrative quantifier of multistability in complex systems based on ecological resilience (Poster),
Perspectives in Nonlinear Dynamics (PNLD) (2016).
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Mitra, C., Kurths, J., & Donner, R. V.,
An integrative quantifier of multistability in complex systems based on ecological resilience (Oral),
Deutsche Physikalische Gesellschaft (DPG) Spring Meeting (2016).
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Mitra, C., Kurths, J., & Donner, R. V.,
An integrative quantifier of multistability in complex systems based on ecological resilience (Oral),
Analysis of Dynamic Networks and Data Driven Modelling of the Climate - DyNeMo-Clim workshop (2015).
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Mitra, C., & Donner, R. V.,
Controllability of bipartite networks (Poster),
Deutsche Physikalische Gesellschaft (DPG) Spring Meeting (2015).
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Mitra, C., Ambika, G., & Banerjee, S.,
Dynamical behaviors in time-delay systems with delayed feedback and digitized coupling (Oral),
Deutsche Physikalische Gesellschaft (DPG) Spring Meeting (2015).
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Mitra, C., Ambika, G., & Banerjee, S.,
Phase-flip and amplitude death in time delay systems with delayed feedback (Oral),
8th Conference on Nonlinear Systems and Dynamics (CNSD) (2013).
(arXiv:1312.3137 [nlin.CD])
