Compact binary systems hosting neutron stars and white dwarfs provide powerful laboratories for studying accretion, magnetism, and orbital evolution under extreme physical conditions. In these systems, the interaction between the accretion flow, the compact object’s magnetic field, and the binary orbit governs the observed emission, variability, and long-term dynamical behavior. Understanding how these processes operate across different magnetic field strengths and compact-object masses remains a key area of interest in high-energy astrophysics.

In this talk, I will present results from my research on accreting neutron stars and magnetic white dwarf binaries, based on X-ray timing and broadband spectral studies. Using observations from multiple space-based X-ray observatories, I will highlight how coherent pulsations, quasi-periodic oscillations, broadband noise, and spectral state transitions can be used to probe disc-magnetosphere interactions and accretion geometry. I will also discuss how spin evolution and torque variability in neutron star systems provide insights into models of magnetically regulated accretion.

Beyond their role as high-energy laboratories, compact binaries are also important sources of gravitational-wave emission. I will highlight my work on orbital evolution in eclipsing neutron star systems and double-degenerate white dwarf binaries. Precise timing measurements in these systems reveal secular orbital decay, orbital irregularities, and signatures of complex angular momentum exchange. These studies provide key constraints on mass transfer processes, magnetic activity, and gravitational radiation-driven evolution. I will conclude by outlining how future observations can further refine this unified picture and advance our understanding of compact binary systems.