[BOOK][B] Wave interactions and fluid flows

ADD Craik - 1988 - books.google.com
Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of
theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear …

Complete synchronization of chaotic complex nonlinear systems with uncertain parameters

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2010 - Springer
Our main objective in this work is to investigate complete synchronization (CS) of n-
dimensional chaotic complex systems with uncertain parameters. An adaptive control …

Detuned lasers and the complex Lorenz equations: subcritical and supercritical Hopf bifurcations

C Ning, H Haken - Physical Review A, 1990 - APS
By a suitable variable transformation we show that detuned lasers can be described by
complex Lorenz equations and establish a close analogy between detuned lasers and …

Chaos in models of double convection

AM Rucklidge - Journal of Fluid Mechanics, 1992 - cambridge.org
In certain parameter regimes, it is possible to derive third-order sets of ordinary differential
equations that are asymptotically exact descriptions of weakly nonlinear double convection …

Active control and global synchronization of the complex Chen and Lü systems

GM Mahmoud, T Bountis… - International Journal of …, 2007 - World Scientific
Chaos synchronization is a very important nonlinear phenomenon, which has been studied
to date extensively on dynamical systems described by real variables. There also exist …

On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation

M Bartuccelli, P Constantin, CR Doering… - Physica D: Nonlinear …, 1990 - Elsevier
We present analytical methods which predict the occurrence of both soft (weak) and hard
(strong) turbulence in the complex Ginzburg-Landau (CGL) equation: A t= RA+ (1+ iν) …

Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation

XY Wen, Z Yan - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
We study higher-order rogue wave (RW) solutions of the coupled integrable dispersive AB
system (also called Pedlosky system), which describes the evolution of wave-packets in a …

Hyperchaos, extreme multistability, and hidden attractors in the novel complex nonlinear system and its adaptive hybrid synchronization

M **, K Sun, H Wang - Nonlinear Dynamics, 2022 - Springer
In this paper, a novel hyperchaotic complex nonlinear system is proposed by introducing a
simple linear feedback controller and a complex constant to the complex simplified Lorenz …

Observer-based aperiodically intermittent pinning synchronization of complex-valued dynamical networks with time-varying delay

J Liang, J Liu, KT Chi, M Liu - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
This paper addresses the impact of time delay and unavailability of system states on
synchronization in complex networks. Specifically, it focuses on observer-based …

[HTML][HTML] Dynamics and synchronization of new hyperchaotic complex Lorenz system

EE Mahmoud - Mathematical and Computer Modelling, 2012 - Elsevier
The aim of this paper is to introduce a new hyperchaotic complex Lorenz system. This
hyperchaotic complex system is constructed by adding a linear controller to the second …