244 citations · 399 across the 8 of their papers we have counts for
8 papers
Variational Approach to the Snake Instability of a Bose-Einstein Condensate Soliton
Umut Tanyeri, Mehmet Atakan Gürkan, Ahmet Keleş +1
Solitons are striking manifestations of nonlinearity, encountered in diverse physical systems such as water waves, nonlinear optics, and Bose-Einstein condensates (BECs). In BECs,…
Fifth Order Runge-Kutta-Nyström Methods with Complex Coefficients
M. Atakan Gürkan
We present fifth order Runge-Kutta-Nyström methods, where we allow the timestep coefficients to assume complex values. Among the methods with complex timesteps, we focus on the one…
Fractal Geometry of Angular Momentum Evolution in Near-Keplerian Systems
M. Atakan Gürkan
In this paper, we propose a method to study the nature of resonant relaxation in near-Keplerian systems. Our technique is based on measuring the fractal dimension of the angular mo…
Resonant relaxation near a massive black hole: the dependence on eccentricity
M. Atakan Gürkan, Clovis Hopman
The orbits of stars close to a massive black hole are nearly Keplerian ellipses. Such orbits exert long term torques on each other, which lead to an enhanced angular momentum relax…
Star Cluster Evolution with Primordial Binaries
John M. Fregeau, M. Atakan Gurkan, Frederic A. Rasio
Observations and theoretical work suggest that globular clusters may be born with initially very large binary fractions. We present first results from our newly modified Monte-Carl…
Runaway collisions in young star clusters. II. Numerical results
Marc Freitag, M. Atakan Gürkan, Frederic A. Rasio
We present a new study of the collisional runaway scenario to form an intermediate-mass black hole (IMBH, MBH > 100 Msun) at the centre of a young, compact stellar cluster. The fir…