Total production costs show sometimes an S-shaped form. There are several ways in which a plant with given capacity can be adapted to a specific demand rate, one of them being adaptation of intensity per work hour. In this paper we present an application of the Hamilton-Hopf bifurcation to an inventory/production intensity splitting model with a nonconvex cost function. Our analysis provides a ...

A semilinear elliptic equation with generalized cubic nonlinearity is studied. Global bifurcation diagrams and the existence of multiple solutions are obtained and in certain cases, exact multiplicity is proved.

In this paper, we study bifurcation of limit cycles in cubic planar integrable, non-Hamiltonian systems. The systems are assumed to be Z2-equivariant with two symmetric centers. Particular attention is given to bifurcation of limit cycles in the neighborhood of the two centers under cubic perturbations. Such integrable systems can be classified as 11 cases. It is shown that different cases have...

Spatial distribution of interacting chemical or biological species is usually described by a system of reaction-diffusion equations. In this work we consider a system of two reactiondiffusion equations with spatially varying diffusion coefficients which are different for different species and with forcing terms which are the gradient of a spatially varying potential. Such a system describes two...

This paper intends to explore the bifurcation of limit cycles for planar polynomial systems with even number of degrees. To obtain the maximum number of limit cycles, a sixth-order polynomial perturbation is added to a quintic Hamiltonian system, and both local and global bifurcations are considered. By employing the detection function method for global bifurcations of limit cycles and the norm...

In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of quintic polynomial differential system are investigated. With the help of computer algebra system MATHEMATICA, the first 10 quasi Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there exist 10 small ...

Let M= { f (z)= (zm/sinhm z) for z ∈ C | either m or m/2 is an odd natural number}. For each f ∈M, the set of singularities of the inverse function of f is an unbounded subset of the real line R. In this paper, the iteration of functions in oneparameter family S = { fλ(z)= λ f (z) | λ ∈ R \ {0}} is investigated for each f ∈M. It is shown that, for each f ∈M, there is a critical parameter λ > 0 ...

This paper reports an implementation of Chua's circuit with a smooth nonlinearity, described by a cubic polynomial. Some bifurcation phenomena and chaotic attractors observed experimentally from the laboratory model and simulated by computer for the model are also presented. Comparing both the observations and simulations, the results are satisfactory. R

We study optical bistability of stationary light transmission in nonlinear periodic structures of finite and semi-infinite length. For finite-length structures, the system exhibits instability mechanisms typical for dissipative dynamical systems. We construct a LeraySchauder stability index and show that it equals the sign of the Evans function in λ = 0. As a consequence, stationary solutions w...