. 212, 289. Itvvy, G. A. (1943). Biochem. J. 37, 598. Morgan, G. T. (1918). Organic Compound8 of Ar8enic and Antimony. London: Longmans, Green and Co. Murgatroyd, F., Russell, H. & Yorke, W. (1934). Ann. trop. Med. Parasit. 28, 227. Steinkopf, W. & Smie, P. (1926). Ber. dtsch. chem. Ge8. 59, 1453. Thuret, M. J. (1938). J. Pharm. Chirn., Pari8, 28, 22, 60. Voegtlin, C. & Smith, H. W. (1920). J. ...

We establish stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations. Our family of random maps need not be close to a fixed map; thus, our results can handle very general driving mechanisms. We consider (i) perturbations via convolutions, (ii) perturbations arising from finite-rank transfer operator approxim...

In the 1920s Warrington Yorke had pioneered the malarial treatment of G.P.I. and neurosyphilis. It was Warrington Yorke who foresaw the dangers of Japanese intervention in the last war, and the overrunning of Java, the major source of the world's supply of quinine. It was his enthusiasm and energy which led the Governments of the U.K. and U.S.A. to provide mepacrine, which had been developed as...

The hallmark of deterministic chaos, an extreme sensitivity to initial conditions, suggests that chaotic systems might be difficult if not impossible to control, since any perturbations used for control would grow exponentially in time. Indeed, this quite reasonable view was widely held until only a few years ago. Surprisingly, the basis for controlling chaos is provided by just this property, ...

In Part I ([9], this journal), Li and McLaughlin proved the existence of homoclinic orbits in certain discrete NLS systems. In this paper, we will construct Smale horseshoes based on the existence of homoclinic orbits in these systems. First, we will construct Smale horseshoes for a general high dimensional dynamical system. As a result, a certain compact, invariant Cantor set3 is constructed. ...

We develop a rigorous theory of observation for dynamical systems in Hilbert spaces. This work generalizes the results of Ott and Yorke [8] for dynamical systems in Rn.

Abstract The generic problem discussed here is the effect of measurement delay on Poincare-based chaos control and possibilities for improved control. When stabilization of unstable periodic orbits or fixed points by the method given by Ott, Grebogi, and Yorke (OGY) must be based on a measurement delayed by tau orbit lengths, the performance of unmodified OGY method is expected to decline. For ...

We present evidence for chaos and generalised multistability in a mesoscopic model of the electroencephalogram (EEG). Two limit cycle attractors and one chaotic attractor were found to coexist in a two-dimensional plane of the tendimensional volume of initial conditions. The chaotic attractor was found to have a moderate value of the largest Lyapunov exponent (3.4 s−1 base e) with ∗Correspondin...