The Kaplan-Yorke conjecture suggests a simple relationship between the fractal dimension of a system and its Lyapunov spectrum. This relationship has important consequences in the broad field of nonlinear dynamics where dimension and Lyapunov exponents are frequently used descriptors of system dynamics. We develop an experimental system with controllable dimension by making use of the Kaplan-Yo...

(Preface page 4 L. -13) Yorke (1990) should be Nusse and Yorke (1990). p. 4 (L. -2) Subsections 8.3.1 – 4 p. 10 (L. -3) “could be combined with the section in Chapter VIII).” p. 17 (L. 2) {(x, f(x)} should read {(x, f(x))}. p. 24 (L. -12) should be “compact nested nonempty sets.” p. 24 (L. -4) should be “ . . . is closed and positively invariant . . . ” p. 27 (L. 3) “A non-empty set S . . . ” p...

Introduction: Iron deficiency anemia and beta-thalassemia trait are the two most common causes of hypochromic microcytic anemia. There are some discriminating functions (DFs) formula to differentiate these two conditions based on RBC's indices which would be compared the validity of the 14 various indices in this study. Correspond...

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This paper provides a version of the transversality theorem for a class of Lipschitz functions of the form f : R × C → Rn where C is a convex subset of a normed vector space Z indexing the parameters in the problem. The set C may be infinite-dimensional, and the notion of generic used is the measure-theoretic notion of prevalence introduced by Hunt, Sauer and Yorke (1992) and Christensen (1974)...

An approach is proposed for making a given stable continuous-time Takagi-Sugeno (TS) fuzzy-system chaotic, by first discretizing it and then using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with posit...