The Malkus–Lorenz water wheel is analyzed in a more direct way. Two new dimensionless parameters associated with properties of the water wheel are used in place of the ...

In this paper, the problem of center conditions and bifurcation of limit cycles at the infinity for a class of cubic systems are investigated. The method is based on a ...

In this paper, center conditions and bifurcation of limit cycles from the equator for a class of polynomial system of degree seven are studied. The method is based on ...

In this paper, center conditions and bifurcations of limit cycles for a class of cubic polynomial system in which the origin is a nilpotent singular point are studied. A ...

A new shape of multisteady states current-potential curve is presented for the Volmer-Heyrovsky mechanism under Frumkin isotherm conditions. Linear stability of the steady ...

We investigate the planar cubic Kolmogorov systems with three invariant algebraic curves which have a equilibrium at (1, 1). With the help of computer algebra system ...

The equation governing two-dimensional Langmuir circulations in a continuously stratified layer of fluid possess O(2) symmetry when laterally periodic boundary conditions are ...

We investigate the travelingwave solutions and their bifurcations for the BBM-like 𝐵(𝑚, 𝑛) equations 𝑢 𝑡 +𝛼𝑢 𝑥 ...

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 ...

Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural ...