Title: Emergent pattern and dynamic stability of complex systems
Speaker: Dr. Chandrakala Meena, Inspire faculty at CSIR-National Chemical Laboratory, Pune.
Day, Date and Time: Thursday, November 11, 2021, 2:15 PM to 3:15 PM.
Abstract:
In my talk briefly, I will talk about nonlinear dynamics and complex networks, pattern formation in complex systems, chaos control mechanism, where we have controlled complex networks of chaotic systems to steady states and robustness of the network of bistable elements and multi-stable oscillators; connected in different network topologies using the concept of multinode basin stability. In detail, I will talk about the emergent dynamic stability of complex systems. As we know that the stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, strikingly, real-world networks seem random and highly irregular, apparently lacking any design for stability. What then are the naturally emerging organizing principles of complex-system stability? Encoded within the system's stability matrix, the Jacobian, the answer is obscured by the scale and diversity of the relevant systems, their broad parameter space, and their nonlinear interaction mechanisms. I will talk about the emergent patterns in the structure of the Jacobian, rooted in the interplay between the network topology and the system's intrinsic nonlinear dynamics. These patterns help us analytically identify the few relevant control parameters that determine a system's dynamic stability. We find that complex systems exhibit discrete stability classes, from asymptotically unstable, where stability is unattainable, to sensitive, in which stability abides within a bounded range of the system's parameters. Most crucially, alongside these two classes, we uncover a third class, asymptotically stable, in which a sufficiently large and heterogeneous network acquires guaranteed stability, independent of parameters, and therefore insensitive to an external perturbation. Hence, two of the most ubiquitous characteristics of real-world networks - scale and heterogeneity - emerge as natural organizing principles to ensure stability in the face of changing environmental conditions.
Brief biography:
Currently, I am working as an Inspire faculty at CSIR-National Chemical Laboratory, Pune since November 2020. I have done my postdoc research work at Bar-Ilan University, Israel with Prof. Baruch Barzel from August 2018 to October 2020. I received my Ph.D. from the Indian Institute of Science Education and Research (IISER) Mohali, India, in July 2018, under the supervision of Prof. Sudeshna Sinha. I completed a dual degree BS-MS in Physics from IISER Mohali in May 2014. During my Dual Degree program, I have completed my master research project with Prof. Sudeshna Sinha. During my research carrier, I have visited many national and international Institutes for conferences and seminars. I have collaboration with national and international faculties. I am lucky to have many scholarships and fellowships from my childhood to now from Indian government; for example, DST INSPIRE scholarship for undergradute study, DST INSPIRE fellowship, CSIR-JRF fellowship, DST INSPIRE faculty fellowship and DST SERB for my phd research and PBC fellowship from Israel government for postdoctoral work. My research broadly focuses on the dynamical behaviour and pattern formation in nonlinear systems and complex networks. My work is centered around the inspection and characterization of emergent behaviour, prediction of weather phenomenon, chaos control mechanisms, and dynamic stability of complex systems. In my postdoctoral work, we also develop a mathematical theory that determines system’s dynamic stability. Hence, my thorough multi-disciplinary research experience in modeling and simulations of complex dynamical networks will have a positive and progressive impact to solve many unresolved problems in the the interdisciplinary field of science.
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