We will consider the use of block elimination for the calculation of generalized turning and bifurcation points for two …

excitation is studied and solved. The method of multiple scale perturbation technique is applied to obtain the bifurcation …

bifurcation. A similar phenomenon was found in a dual-core system with quadratic nonlinearity, and in linearly coupled fiber Bragg … gratings, with a difference that the symmetry-breaking bifurcation is supercritical in those cases. We aim to study transitions … bifurcation loop: a symmetric soliton loses its stability via a supercritical bifurcation, which is followed, at a larger value of …

It is about studying branches of bifurcation of a nonlinear equation of the type: u−λLu+g(λ,u,y)=0, in a neighborhood … λ0 for a characteristic value and g is a nonlinear operator defined on W to values in E. The bifurcation tempted several …

combined with continuation in a parameter often exhibits “erratic failure” even in the absence of bifurcation. Wave resonances …

of Hopf bifurcation for smooth systems. It is shown that the concept of invariant planes with a change from a stable …

have implemented algorithmic differentiation (AD) techniques into the Matlab bifurcation software Cl_MatcontM, http … coefficients of codimension-1 and -2 bifurcation points. Methods based on finite differences are inaccurate for such computations. …

nature of the bifurcations. The global behaviour is studied by using bifurcation diagrams showing collisions between fixed …