5 citations · 5 across the 3 of their papers we have counts for
4 papers
Phase-Sensitive Validation of Reduced-Order Nonlinear Mechanical Models with Dynamic Readout
Kazi T. Mahmood, M. Arif Hasan
Reduced-order models of nonlinear structures are often evaluated using mechanical response errors, while the signals of interest may also pass through dynamic readout channels that…
Topological Vibration Analysis of Elastic Lattices via Bloch Sphere Mapping
Kazi Tahsin Mahmood, M. Arif Hasan
Mechanical lattices support topological wave phenomena governed by geometric phases. We develop a compact Hilbert space description for one-dimensional elastic chains, expressing i…
Harnessing Nonlinear Dynamics for Time-Driven Berry Phase in Classical Systems
Kazi T. Mahmood, M. Arif Hasan
Phases arising from cyclic processes are fundamental in physics, bridging quantum and classical domains and providing deeper insights into the topology and dynamics of physical sys…
Topological Insights from State Manipulation in a Classical Elastic System
Kazi T. Mahmood, M. Arif Hasan
The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show…