this paper investigates the dynamics and stability properties of a discrete-time lotka-volterra type system. we first analyze stability of the fixed points and the existence of local bifurcations. our analysis shows the presence of rich variety of local bifurcations, namely, stable fixed points; in which population numbers remain constant, periodic cycles; in which population numbers oscillate amo...

Percutaneous coronary intervention in the setting of coronary bifurcation lesions is associated with increased risk for complications. The goal of this manuscript is to review the currently available classifications for coronary artery bifurcation lesions with a guide to the use of specific coronary bifurcation techniques based on lesion characteristics

Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena in power systems. The pioneer work on the local bifurcation analysis of power systems can be dated back to the 1970’s and earlier. Within the last 20 years or so nonlinear dynamical theory has become a subject of great interest to researchers and e...

In this paper, the dynamics of a DC-DC boost power converter under variable structure control is studied applying bifurcation analysis techniques. The switching hyperplane coefficients are considered as bifurcation parameters. The dynamic phenomena detected in this work suggest new types of sliding bifurcations. This analysis is relevant in the context of sliding mode control with auxiliary ada...

We make a numerical study of the classical solutions of the combined system consisting of the Georgi-Glashow model and the SO(3) gauged Skyrme model. Both monopole-Skyrmion and dyon-Skyrmion solutions are found. A new bifurcation is shown to occur in the gauged Skyrmion solution sector.

In this paper, we develop an iterative scheme to enable the explicit calculationof an arbitrary post-Newtonian order for a relativistic body that reduces to theMaclaurin spheroid in the appropriate limit. This scheme allows for an analysisof the structure of the solution in the vicinity of bifurcation points along theMaclaurin sequence. The post-Newtonian expansion is solved exp...

Period doubling bifurcation in buck converters is studied by using the harmonic balance method. A simple dynamic model of a buck converter in continuous conduction mode under voltage mode or current mode control is derived. This model consists of the feedback connection of a linear system and a nonlinear one. An exact harmonic balance analysis is used to obtain a necessary and sufficient condit...

In this paper, a mathematically rigorous analysis for bifurcation structure of a spatially uniform stationary solution in nonlinear Schrödinger equations with a cubic nonlinearity and a dissipation, and with a detuning term is presented. Numerically, it has been reported that the “snake bifurcation” occurs, but this equation does not have the variational (Hamiltonian) structure. Therefore, both...

About a three-dimensional autonomous continuous Lorenz-like system. Through the full analysis of equilibrium points, we can derive the parameter condition of Hopf bifurcation; Next we adopt a Washout filter controller designed independently to control the Hopf bifurcation of the system, and the effect of the controller’s parameters on the position of bifurcation point, the bifurcation type, and...