Chaotic behavior and strange attractor in time-dependent solutions of the magnetohydrodynamic equations for the Faraday disc

1997 ◽  
Vol 4 (9) ◽  
pp. 3173-3176
Author(s):  
R. L. Ingraham ◽  
T. Vulcan
Keyword(s):  
Strange Attractor ◽  
Chaotic Behavior ◽  
Time Dependent ◽  
Magnetohydrodynamic Equations

Excitation and damping of disturbances in cylindrical coronal loops

2005 ◽  
Vol 364 (1839) ◽  
pp. 547-550 ◽  
Author(s):  
Jaume Terradas ◽  
Ramón Oliver ◽  
José Luis Ballester
Keyword(s):  
Boundary Layer ◽  
Coronal Loop ◽  
Normal Mode Analysis ◽  
Resonant Absorption ◽  
Time Dependent ◽  
Mode Analysis ◽  
Coronal Loops ◽  
Two Dimensional ◽  
Magnetohydrodynamic Equations ◽  
Kink Mode

The excitation and damping of transversal coronal loop oscillations is studied using one-and two-dimensional models of line-tied cylindrical loops. By solving the time-dependent magnetohydrodynamic equations it is shown how an initial disturbance generated in the solar corona induces kink mode oscillations. We investigate the effect of the disturbance on a loop with a non-uniform boundary layer. In particular, a strong damping of transversal oscillations due to resonant absorption is found, such as predicted by previous works based on normal mode analysis.

A PARAMETRICALLY FORCED NONLINEAR SYSTEM WITH REVERSIBLE EQUILIBRIA

2012 ◽  
Vol 22 (06) ◽  
pp. 1230020 ◽  
Author(s):  
R. WIEBE ◽  
L. N. VIRGIN ◽  
T. P. WITELSKI
Keyword(s):  
Dynamical System ◽  
Nonlinear System ◽  
Resonance Frequency ◽  
Coordinate System ◽  
Chaotic Behavior ◽  
Nonlinear Behavior ◽  
Time Dependent ◽  
Dependent Manner ◽  
Frequency Content ◽  
The Stability

A nonlinear Duffing-type dynamical system, in which the stability of equilibria is modulated in a time-dependent manner, is investigated both experimentally and numerically. This is a low-order dynamical system with some interesting available choices in the coordinate system. The system is found to exhibit a variety of interesting nonlinear behavior including ultrasubharmonic resonance. Frequency content is used to characterize periodic and chaotic behavior and their relation to the parameter space.

On Fuzzy Control of Chaotic Systems

2004 ◽  
Vol 10 (7) ◽  
pp. 979-993 ◽  
Author(s):  
Ahmad M. Harb ◽  
Issam A. Smadi
Keyword(s):  
Mathematical Model ◽  
Fuzzy Logic ◽  
Fuzzy Control ◽  
Power Systems ◽  
Strange Attractor ◽  
Chaotic Systems ◽  
Chaotic Behavior ◽  
Secure Communications ◽  
Nonlinear Controllers ◽  
Linear And Nonlinear

In this paper, we introduce the control of the strange attractor, chaos. Because of the importance of controlling undesirable behavior in systems. researchers are investigating the use of linear and nonlinear controllers, either to remove such oscillations (in power systems) or to match two chaotic systems (in secure communications). The idea of using the fuzzy logic concept for controlling chaotic behavior is presented. There are two good reasons for using fulzy control: first, there is no mathematical model available for the process; secondly. it can satisfy nonlinear control that can be developed empirically. without complicated mathematics. The two systems are well-known models so the first reason is not a big problem. and we can take advantage of the second reason.

A Fractional-Order Hyperchaotic System and its Circuit Implement

2014 ◽  
Vol 701-702 ◽  
pp. 1143-1147
Author(s):  
Qi Li Wang
Keyword(s):  
Fractional Order ◽  
Strange Attractor ◽  
Analog Circuit ◽  
Chaotic Behavior ◽  
Initial Conditions ◽  
Order System ◽  
Hyperchaotic System ◽  
Dynamical Properties ◽  
Simulation Results ◽  
Sensitivity To Initial Conditions

A fractional-order hyperchaotic system was proposed and some basic dynamical properties were investigated to show chaotic behavior. These properties include instability of equilibria, sensitivity to initial conditions, strange attractor, Lyapunov exponents, and bifurcation. The fractional-order system presents hyperchaos, chaos, and periodic behavior when the parameters vary continuously. Then, an analog circuit is designed onMultisim 11and the Multisim results are agreed with the simulation results.

scholarly journals INVESTIGATION OF A SIMPLE MODEL OF A SECOND-ORDER MEMRISTOR DURING ITS CYCLING

2020 ◽  
Author(s):  
Igor Matyushkin ◽  
Davud Guseinov
Keyword(s):  
Nonlinear Dynamics ◽  
Simple Model ◽  
Strange Attractor ◽  
Chaotic Behavior ◽  
Second Order ◽  
Sinusoidal Signal ◽  
Two Phase

A simple model of nonlinear dynamics of the memristor resistance behavior during its cycling is proposed, which assumes two phase variables (the length and the charge captured by filament) that determine the four key parameters of the memristor. In the space of three parameters of the model, quasi-periodic modes, a strange attractor, and chaotic behavior are found. In most cases, the control was considered a sinusoidal signal.

scholarly journals Irregularity Interpreted as Low Dimension Chaos for Convective Models of W VIR Variables

1989 ◽  
Vol 111 ◽  
pp. 267-267
Author(s):  
S. Ami Glasner ◽  
J. Robert Buchler
Keyword(s):  
Effective Temperature ◽  
Control Parameter ◽  
Chaotic Behavior ◽  
Time Dependent ◽  
Special Cases ◽  
Low Dimension ◽  
Rv Tau Stars ◽  
Linear And Nonlinear ◽  
Stellar Envelopes ◽  
Irregular Behavior

AbstractLinear and nonlinear pulsational properties of convective stellar envelopes relevant for W Vir and RV Tau stars are surveyed. All models show the same trend to pass from regular to irregular behavior when a control parameter is changed (the effective temperature). The transition to irregular pulsation follows well known systematic routes to chaos (as in the radiative case). Some rich structures were found in special cases; they deserve further research. We show that the chaotic behavior is sustained even when convection is taken into account. The effect of the inclusion of time dependent convection shows up mostly as a shift of Kovacs and Buchler (Ap.J 1988) results in the parameters plane (L,Teff) towards more realistic models.

Sign in / Sign up

Export Citation Format

Share Document