Chaos and Control in Nonlinear Bloch System
B. Rakshit, P. Saha, A. Roy. Chowdhury
Abstract
The dynamics of two nonlinear Bloch systems is studied from the viewpoint of bifur- cation and a particular parameter space has been explored for the stability analysis based on stability criterion. This enables the choice of the desired unstable periodic orbit from the numerous unstable ones present within the attractor through the pro- cess of closed return pairs. A generalized active control method have been discussed for two Bloch systems arising from di erent initial conditions.
Create a lesson
Related papers
Nonintegrability theorem on perturbed integrable Hamiltonian dynamical systems with two independent resonances
Nikos Zafeiriadis, Efthymia Meletlidou, Christos Efthymiopoulos et al.
PRISM: Unifying multiphysics optothermal transport and identifiability-guided inference for nanoscale thermal metrology
Yicong Qiu, Ziyang Zhong, Ziyan Qian et al.
Ultraslow diffusion emerging from local symmetry breaking in quenched disorder
Jin Liu, Rainer Klages, Huihai Wang et al.
A model for the dimension of the inertial manifold of the Kuramoto-Sivashinsky equation
Melisa Y. Vinograd, Patricio Clark di Leoni
When chaos meets thermodynamics: from Fermi acceleration to thermalisation
Edson Denis Leonel
Three-Wave Forced Hasegawa--Wakatani Model: Reducing Chaos with Zonal Flows
P. Haerter, R. L. Viana, I. L. Caldas