Browsing Mathematics by Author "Nicol, Matthew"
Now showing items 14 of 4

Acceleration of onedimensional mixing by discontinuous mappings
Ashwin, Peter; Nicol, Matthew; Kirkby, Norman (Elsevier, 2002)The paper considers a simple class of models for mixing of a passive tracer into a bulk material that is essentially one dimensional. We examine the relative rates of mixing due to diffusion, stretch and fold operations ... 
Almost sure convergence of maxima for chaotic dynamical systems
Holland, Mark P.; Nicol, Matthew; Török, János (Cornell University Library, 20160321)Suppose (f,X,ν) is a measure preserving dynamical system and ϕ:X→R is an observable with some degree of regularity. We investigate the maximum process M n :=max{X 1 ,…,X n } , where X i =ϕ∘f i is a time series of observations ... 
Hypermeander of spirals: local bifurcations and statistical properties
Ashwin, Peter; Melbourne, Ian; Nicol, Matthew (Elsevier, 2001)In both experimental studies and numerical simulations of waves in excitable media, rigidly rotating spiral waves are observed to undergo transitions to complicated spatial dynamics with longterm Brownianlike motion of ... 
On the unfolding of a blowout bifurcation
Ashwin, Peter; Aston, Philip J.; Nicol, Matthew (Elsevier, 1998)Suppose a chaotic attractor A in an invariant subspace loses stability on varying a parameter. At the point of loss of stability, the most positive Lyapunov exponent of the natural measure on A crosses zero at what has ...