Different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. Evolutionary phenomena are discussed through bifurcation analysis leading to chaos. Some tools of nonlinear dynamics, such as Lyapunov characteristic exponents (LCE), Lyapunov numbers, correlation dimension, etc. are calculated ...

The phase separation between two immiscible liquids advected by a bidimensional velocity field is investigated numerically by solving the corresponding Cahn-Hilliard equation. We study how the spinodal decomposition process depends on the presence-or absence-of Lagrangian chaos. A fully chaotic flow, in particular, limits the growth of domains, and for unequal volume fractions of the liquids, a...

We compute Lyapunov vectors (LVs) corresponding to the largest Lyapunov exponents in delay-differential equations with large time delay. We find that characteristic LVs, and backward (Gram-Schmidt) LVs, exhibit long-range correlations, identical to those already observed in dissipative extended systems. In addition we give numerical and theoretical support to the hypothesis that the main LV bel...

The Need to Utilize Chaos Management Techniques in Elementary School Preparedness Assessment Program   M. H. Hassani Shalmaani, Ph.D.*   One of the most important programs in the Ministry of Education is the health and academic preparedness assessment program. It is assumed that any assessment program is so dynamic and unpredictable that makes systematic planning impossible. Thi...

When Bose-Einstein condensed ~BEC! systems are coupled, dramatic phenomena occur, owing to macroscopic phase coherence. Effective second-quantized Hamiltonians are often used as simple models @1–3,5–7# to bring out the characteristic behavior of these systems. Very similar Hamiltonians are used @8–10# to model striking effects in vibrational spectra of polyatomic molecules, related to classical...

Conductivity properties of DNA molecule is investigated in a simple, but chemically specific approach that is intimately related to the Su-Schrieffer-Heeger (SSH) model. This model is a tight-binding linear nanoscale chain. We have tried to study the electrical current flowing in DNA and investigated the characteristic I-V diagram. As a result, It is shown that there are the (quasi-) ohmic area...

Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretical physicists in connection with Quantum Chaos. In particular, Haake and collaborators have computed the variance of the coefficients of these polynomials and raised the question of computing the higher moments. The ans...

In the present work, the chaotic motion control of a mobile robot is studied, in order to cover a terrain with unpredictable way. The proposed control strategy is based on a chaotic path planning generator. As a chaotic generator, we have used three different nonlinear dynamical systems, the Chua oscillator, the Lorenz system, and a nonlinear circuit with a nonlinear resistor having an i-v char...

Abstract This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multi-delay linear systems. In parti...

We give a spectral interpretation of the critical zeros of the Rie-mann zeta function as an absorption spectrum, while eventual noncritical zeros appear as resonances. We give a geometric interpretation of the explicit formulas of number theory as a trace formula on the noncommutative space of Adele classes. This reduces the Riemann hypothesis to the validity of the trace formula and eliminates...