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Partial generalized synchronization theorems of differential and discrete systems

Jianyi Jing, Lequan Min, Geng Zhao (2008)

Kybernetika

This paper presents two theorems for designing controllers to achieve directional partial generalized synchronization (PGS) of two independent (chaotic) differential equation systems or two independent (chaotic) discrete systems. Two numerical simulation examples are given to illustrate the effectiveness of the proposed theorems. It can be expected that these theorems provide new tools for understanding and studying PGS phenomena and information encryption.

Periodic solutions of a differential delay equation of Rayleigh type

S. Invernizzi, F. Zanolin (1979)

Rendiconti del Seminario Matematico della Università di Padova

Periodic solutions of Liénard equations

Pierpaolo Omari, Fabio Zanolin (1984)

Rendiconti del Seminario Matematico della Università di Padova

Periodic solutions to retarded and partial functional differential equations.

Pavlakos, Panaiotis K., Stratis, Ioannis G. (1994)

Portugaliae Mathematica

Picard Sets for Entire Functions.

Irvine N. Baker, L.S.O. Liverpool (1972)

Mathematische Zeitschrift

Polynomial algebra of constants of the four variable Lotka-Volterra system

Piotr Ossowski, Janusz Zieliński (2010)

Colloquium Mathematicae

We describe the ring of constants of a specific four variable Lotka-Volterra derivation. We investigate the existence of polynomial constants in the other cases of Lotka-Volterra derivations, also in n variables.

Population dynamics control in regard to minimizing the time necessary for the regeneration of a biomass taken away from the population

D. D. Bainov, A. B. Dishliev (1990)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Positive solutions of integrodifferential equations.

Philos, Ch.G. (1993)

Journal of Applied Mathematics and Stochastic Analysis

Property (A) of advanced functional-differential equations

Jozef Džurina (1995)

Mathematica Slovaca

Property $(A)$ of third order differential equations with deviating argument

Jozef Džurina (1995)

Mathematica Slovaca

Property (B) of differential equations with deviating argument

Jozef Džurina (1994)

Archivum Mathematicum

The aim of this paper is to deduce oscillatory and asymptotic behavior of delay differential equation $L_{n} u (t) - p (t) u (τ (t)) = 0,$ from the oscillation of a set of the first order delay equations.

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