In this paper we examine matrices which arise naturally as Jacobians in chemical dynamics.
We are particularly interested in when these Jacobians are P matrices (up to a sign change) …

(a) Let X: R 2→ R 2 be a differentiable map (not necessarily C1) and let Spec (X) be the set
of (complex) eigenvalues of the derivative DXp when p varies in R 2. If, for some ε> 0, Spec …

Different types of macroscopic reaction kinetics can be derived from microscopic molecular
interactions, with the law of mass action being the most widely used one in standard …

This paper proposes an unified procedure for time-varying dead-time compensation. The
method is an adapted version of the Filtered Smith Predictor (FSP), which is coupled to a …

We consider the problem of finding sufficient conditions for a locally Lipschitz mapping
between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the …

Let F: n be a polynomial local diffeomorphism and let SF denote the set of not proper points
of F. The Jelonek's real Jacobian Conjecture states that if codim (SF)≥ 2, then F is bijective …

Abstract Let Y=(f, g, h): R^ 3 → R^ 3 be a C 2 map and let Spec (Y) denote the set of
eigenvalues of the derivative DY p, when p varies in R^ 3. We begin proving that if, for some …

Let X: R2∖ D¯ σ→ R2 be a differentiable (but not necessarily C1) vector field, where σ> 0
and D¯ σ={z∈ R2:‖ z‖⩽ σ}. Denote by R (z) the real part of z∈ C. If for some ϵ> 0 and for …

This paper proposes a novel method for the design of time-varying dead-time compensators.
The presented approach is a modified version of Filtered Smith Predictor (FSP), extended …

Using the half-Reeb component technique as introduced in [10], we try to clarify the intrinsic
relation between the injectivity of differentiable local homeomorphisms $ X $ of $ R^ 2$ and …