In order to study the influence of the random perturbation of time-varying mesh stiffness on the dynamics of the helical gearing system, based on Newton's law, a stochastic dynamics model of a six-degree-of-freedom helical gear system is established and ...
Yiyi Tou+4 more
doaj
Dynamic bifurcation for the granulation convection in the solar photosphere
The main objective of this paper is to investigate the dynamic bifurcation for the granulation convection in the solar photosphere. Based on the dynamic bifurcation theory, which is established by Ma and Wang (Phase transition dynamics, pp. 380-459, 2014)
Junyan Li
doaj +1 more source
Design of Positive, Negative, and Alternating Sign Generalized Logistic Maps
The discrete logistic map is one of the most famous discrete chaotic maps which has widely spread applications. This paper investigates a set of four generalized logistic maps where the conventional map is a special case.
Wafaa S. Sayed+2 more
doaj +1 more source
Some results on the dynamics generated by the Bazykin model
A predator-prey model formerly proposed by A. Bazykin et al. [Bifurcation diagrams of planar dynamical systems (1985)] is analyzed in the case when two of the four parameters are kept fixed.
Georgescu, R M, Georgescu, A
doaj +1 more source
Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations [PDF]
Bifurcations of solitary waves are classified for the generalized nonlinear Schr\"odinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely saddle-node bifurcations, pitchfork bifurcations and transcritical ...
arxiv
The operating diagram of a flocculation model in the chemostat and its dependence on the biological parameters [PDF]
In this paper, we consider a flocculation model in a chemostat where one species is present in two forms: planktonic and aggregated bacteria with the presence of a single resource. The removal rates of isolated and attached bacteria are distinct and include the specific death rates.
arxiv
Disjoint bifurcation diagrams in combustion systems
It is shown that the classical non-dimensionalisation of many simple combusting systems is sufficiently nonlinear to conceal some of the differences in behaviour shown when different bifurcation parameters are varied quasi-statically to produce bifurcation diagrams.
Graeme C. Wake+2 more
openaire +2 more sources
Entropy and Stability Analysis of Delayed Energy Supply–Demand Model
In this paper, a four-dimensional model of energy supply–demand with two-delay is built. The interactions among energy demand of east China, energy supply of west China and the utilization of renewable energy in east China are delayed in this model.
Jing Wang+3 more
doaj +1 more source
Determination of experimental conditions for examination of analytes in Bray-Liebhafsky oscillatory reaction in open reactor conditions [PDF]
The Bray-Liebhafsky oscillatory reaction, as an extremely sensitive matrix, can be used for examination of properties of different active substances.
Stevanović Kristina Z.+3 more
doaj +1 more source
Big Bang Bifurcations in the Tantalus Oscillator under Biphasics Perturbations [PDF]
The Tantalus Oscillator is a non linear hydrodynamic oscillator with an attractive limit cycle. In this study we pursue the construction of a biparametric bifurcation diagram for the Tantalus Oscillator under biphasics perturbations. That is the first time that this kind of diagram is built for this kind of oscillator under biphasics perturbations ...
arxiv +1 more source