In recent years, experimental and theoretical research on the nature of supermassive bodies that inhabit central regions galaxies has grown significantly. this contribution, we study motion unitary mass test particles in a perturbed Kerr-like metric. The metric represents approximate exterior spacetime massive rotating body with quadrupole moment $q$. Through extensive geodesics, it is found ch...

Chaotic orientational dynamics of sheared nematic polymers is documented in laboratory experiments and predicted by Doi-Hess kinetic theory for infinitely thin rods. We address robustness of rheochaos when simple shear is modified by a planar straining flow, and the macromolecules have finite aspect ratio. We predict persistence of sheared chaotic response up to a threshold straining flow stren...

Simulations of long Josephson junctions in an external magnetic field show a variety of chaotic behaviors. They consist of period-doubling bifurcation, intermittency between and within Fiske steps, and quasiperiodic motion at Fiske steps. A physical explanation for the chaotic behavior is presented. The influence of surface resistance to the chaotic motion is investigated. A diagram in terms of...

In this paper, the dynamical behavior of a new chaotic system is discussed, the globally exponentially attractive set and positive invariant set of the chaotic systems are studied via the generalized Lyapunov function, the result is applied to the study of chaos synchronization, and the globally exponential synchronization of the chaotic system is achieved. Numerical simulation results are pres...