It is well known that there are examples of periodic matrices (A t)) such that the zero solution to (9) is not asymptotically stable for arbitrary (mu> 0).
In this paper we will use heavily the partial order in C = C ( [ − τ, 0 ], R n ) defined by φ ≥ ϕ if and only if φ i ≥ ϕ i. for any θ ∈ [ − τ, 0 ] and φ = ( φ i ) 1 ≤ i ≤ n, ϕ = ( ϕ i ) 1 ≤ i ≤ n ∈ C. In Section 3, we present an existence theorem and some examples of periodic solutions of delay differential equations.
An example of periodic sparse sampling using nested sampling structure is shown in Figure 1, with N1=3 and N2=5.
In fact, the mechanical rolling process is a good example of periodic symmetry with respect to the load application.
1 ≤ l ≤ N 1, for level 1 ( N 1 + 1 ) m, 1 ≤ m ≤ N 2, for level 2. Figure 1 shows an example of periodic sparse sampling using nested sampling structure with N1 = 3 and N2 = 5.
One example of periodic structures is animal pigment patterns, which have long been studied both theoretically (Kondo and Miura, 2010; Meinhardt, 1982; Murray, 2002) and experimentally (Johnson et al., 1995; Parichy, 2007).
Nevertheless, as pointed out in [14], Johnson [15] and Millionshchikov [16] have already given examples of limit periodic differential equations which admit almost automorphic solutions, but not limit periodic ones.
We complement this by giving examples of limit periodic functions where the Jitomirskaya Simon criterion can be applied to every element of the hull.
One dimensional (1D) and two dimensional (2D) magneto-elastic lattices are investigated as examples of multistable, periodic structures with adaptive wave propagation properties.
This could, for example, consist of periodic visits from an international partner, coupled with more regular and intensive support from an Indian Centre of Excellence.
Famous examples of non-periodic outbreaks in rodents include those of European house mouse in Australian grain-growing areas [e. g. [ 15]] and outbreaks of common vole in Central-European agricultural areas [e. g. [ 16]], but see [ 17].
