For a range of values of the numbers of complex order parameter components and of replicas, the renormalization group trajectories exhibit a stable focus, surrounded by an unstable limit cycle. By evaluating the free energy and the equation of state, we find that flows within the limit cycle ...
However, the interesting question is whether these classes are stable under the renormalization group flow. All models (1)–(3) share a common feature with the model (I) studied so far: their multiscale analysis and power-counting theorem are identical, since those are written without the ...
In addition, the spectra of the N 1s reveals two peaks attributed to the NH3+ group in MA+ (∼402.1 eV) and the -NH2+ group in FA+ (∼400.5 eV) (Fig. S16b) [42]. The intensity of N 1s decreases with the MA+ content, indicating that the substitution of FA+ by...
Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology – that uses renormalization group theory – for finding out existence of periodic solutions in a plethora of nonlinear dynamical systems appearing ...
renormalization groupparameter spaceFormation and study of periodic orbits in phase space in the case of nonlinear oscillators have been a topic of much interest in the recent past. In the current work, a method to go deep inside the limit cycle zone on one side of the bifurcation curve of ...
Phillips, "The Renormalization group limit cycle for the 1/r**2 potential", Phys. Rev. A70, 052111 (2004) , arXiv:hep-th/0403168. And the references therein.E. Braaten and D. Phillips, "The Renormalization group limit cycle for the 1/r**2 potential," Phys. Rev. A 70, 052111 (...
RENORMALIZATION groupNONLINEAR oscillatorsPHASE spaceFORECASTINGHOPF bifurcationsCURVESFormation and study of periodic orbits in phase space in the case of nonlinear oscillators have been a topic of much interest in the recent past. In the current work, a method to go deep inside ...
While the two-body problem is consistent with nonrelativistic conformal symmetry for the two considered systems, a conformal anomaly, manifested through a renormalization group limit cycle with the Emov parameter s0 鈮 1.006, is found for bosons in the three-body problem....
We show that the renormalization group allows a unified analysis of the limit cycle and centre in a Lienard system of differential equations. While the approach is perturbative, it is possible to make a stronger statement in this regard. Two different classes of Lienard systems have been ...
Estimating the boundaries of a limit cycle in a 2D dynamical system using renormalization groupdoi:10.1016/j.cnsns.2017.06.010Ayan DuttaDebapriya DasDhruba BanerjeeJayanta K. BhattacharjeeElsevier