subjected to a modulated sinusoidal excitation. Three types of critical points for the bifurcation response equations near the … eigenvalues, respectively. For each case, the stability regions for the initial equilibrium solution and the critical bifurcation … curves are obtained. The amplitude response curves with respect to detuning/damping parameters for critical bifurcation …

sliding mode controls. The advantages of the proposed approach are the capability to show the onset of fast-scale bifurcation …

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 …

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 …

stability and bifurcation analyses will reveal that whilst the trivial steady state only undergoes a static bifurcation (single … combination of two types of bifurcation (a double zero singularity). …

bistable chemical reaction-diffusion system which also displays Turing and Hopf instabilities. The Turing bifurcation curve and …

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 …