In this paper, the different equation dx/dt=-y(1-ax~ 2n )+bx-cx~ 2n+1 , dy/dt=x(1-ax~ 2n ) was studied, and some condition were obtained to guarantee the existence and uniqueness of limit cycle for the given system .
Then we show how to use loop groups and hypercohomology to write explicit hamiltonians.
The new wavelets used in  were designed from the Loop scheme by using ideas and methods of [26, 27], where orthogonal wavelets with exponential decay and pre-wavelets with compact support were constructed.
The result of stability analysis shows that, under a specific bounded modelling error, the closed-loop system is BIBO stable in the presence of unmodelled dynamics.
An asymptotic property of the number of spanning trees of double fixed step loop networks
This paper deeply analyzes the closed-loop nature of GPC in the framework of internal model control (IMC) theory.
We study the multiplicative structure of rings of coinvariants for finite groups.
We develop methods that give rise to natural monomial bases for such rings over their ground fields and explicitly determine precisely which monomials are zero in the ring of coinvariants.
This paper gives an algorithm for computing invariant rings of reductive groups in arbitrary characteristic.
Using these generating sets, we shall determine the Hilbert series of the above Freudenburg's and Daigle and Freudenburg's nonfinitely generated Ga-invariant rings, and find that these Hilbert series are rational functions.
Then we also show that the Hilbert series of nonfinitely generated invariant rings appearing in the author's linear counterexamples are rational functions.