A new adaptive local linear prediction method and its application in hydrological time series.
A new algebraic invariant for weak equivalence of sofic subshifts
It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. The main tool are ζ-semigroups, considered as recognition structures for sofic subshifts. A new algebraic invariant is obtained for weak equivalence of sofic subshifts, by determining which classes of sofic subshifts naturally defined by pseudovarieties of finite semigroups are closed under weak equivalence. Among such classes are the classes of almost finite type subshifts...
A new approach to generalized chaos synchronization based on the stability of the error system
With a chaotic system being divided into linear and nonlinear parts, a new approach is presented to realize generalized chaos synchronization by using feedback control and parameter commutation. Based on a linear transformation, the problem of generalized synchronization (GS) is transformed into the stability problem of the synchronous error system, and an existence condition for GS is derived. Furthermore, the performance of GS can be improved according to the configuration of the GS velocity....
A new approach to the Ricci flow on
A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario.
A new curvature invariant and entropy of geodesic flow.
A new degree for -invariant gradient mappings and applications
A new geometrical framework for time-dependent Hamiltonian mechanics.
A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
A new LMI-based robust finite-time sliding mode control strategy for a class of uncertain nonlinear systems
This paper presents a novel sliding mode controller for a class of uncertain nonlinear systems. Based on Lyapunov stability theorem and linear matrix inequality technique, a sufficient condition is derived to guarantee the global asymptotical stability of the error dynamics and a linear sliding surface is existed depending on state errors. A new reaching control law is designed to satisfy the presence of the sliding mode around the linear surface in the finite time, and its parameters are obtained...
A New Mathematical Model of Syphilis
The CDC launched the National Plan to Eliminate Syphilis from the USA in October 1999 [4]. In order to reach this goal, a good understanding of the transmission dynamics of the disease is necessary. Based on a SIRS model Breban et al. [3] provided some evidence that supports the feasibility of the plan proving that no recurring outbreaks should occur for syphilis. We study in this work a syphilis model that includes partial...
A new method for measuring the splitting of invariant manifolds
A new model for the transport of particles in a thermostatted system.
A new obstruction to embedding Lagrangian tori.
A new proof of a conjecture of Yoccoz
We give a new proof of the following conjecture of Yoccoz:where , is its Siegel disk if is linearizable (or otherwise), is the conformal radius of the Siegel disk of (or if there is none) and is Yoccoz’s Brjuno function.In a former article we obtained a first proof based on the control of parabolic explosion. Here, we present a more elementary proof based on Yoccoz’s initial methods.We then extend this result to some new families of polynomials such as with . We also show that...
A new proof of the Aubry-Mather's theorem.
A new scenario in dissipative systems: sequential extinction of strange attractors
A non-linear discrete-time dynamical system related to epidemic SISI model
We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume that the population size under consideration is constant, so death rate is the same with birth rate per unit time. Reducing to quadratic stochastic operator (QSO) we study the dynamical system of the SISI model.
A nonlinear macrodynamic model with fixed exchange rates: Its dynamics and noise effects.
A nonlinear two-species oscillatory system: bifurcation and stability analysis.