• Interests
  • Experience
  • Publications

Interests


  • Dynamical Systems Theory

    - Nonlinear Systems

    - Complex Systems

    - Time-delay Systems

    - Chaos, Hyperchaos


  • Stability & Resilience Concepts

    - Multistability

    - Basin Stability

    - Integral Stability

    - Ecological Resilience

    - Engineering Resilience

    - Stability & Resilience in Complex Networks of Dynamical Systems


  • Network Science

    - Emergent Phenomena in Complex Networks of Dynamical Systems: Synchronization, Amplitude Death, Clustering, Phase-flip, Splay States, Chimera States

    - Controllability of Complex Networks

    - Dynamical Processes on Scale-free, Hierarchical, Small-world, Bipartite Networks

Experience


+ Ph.D. Thesis: Stability of dynamical processes on complex networks

Advisor(s): Prof. Dr. Dr. h.c. mult. J├╝rgen Kurths (HU & PIK, Germany) & Dr. Reik V. Donner (PIK, Germany)

Duration: Jul 2014 - present

+ M.S. Thesis: 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 - July 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 methods of Digital Signal Processing (DSP) & Wavelet transforms (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


  1. 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)

  2. 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)

  3. 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)

  4. 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)

  5. 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)

  6. 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)

  7. 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 Proceedings & Workshop Presentations