INFLUENCE OF SYSTEM NON-UNIFORMITY ON DYNAMIC PHENOMENA IN ARRAYS OF COUPLED NONLINEAR NETWORKS

2003 ◽  
Vol 13 (06) ◽  
pp. 397-404 ◽  
Author(s):  
ZBIGNIEW GALIAS ◽  
MACIEJ J. OGORZAŁEK
Keyword(s):  
Computer Simulations ◽  
Electronic Circuits ◽  
Nonlinear Networks ◽  
Synchronous Motion ◽  
Existence And Stability ◽  
Synchronous Behavior ◽  
Dynamic Phenomena

In this paper we investigate the influence of system non-uniformity on the existence and stability of synchronous motion in an array of bi–directionally coupled electronic circuits. In computer simulations we find the level of non-uniformity for which synchronous behavior is sustained. We also present several examples of attractors, which appear when the synchronous motions is no longer stable.

scholarly journals A Novel 2D – Grid of Scroll Chaotic Attractor Generated by CNN

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 99 ◽  
Author(s):  
Ahmed M. Ali ◽  
Saif M. Ramadhan ◽  
Fadhil R. Tahir
Keyword(s):  
Theoretical Analysis ◽  
Chaotic Attractor ◽  
Complex Dynamics ◽  
Equilibrium Points ◽  
Chaotic Attractors ◽  
Electronic Circuits ◽  
Nonlinear Networks ◽  
Design And Implementation ◽  
Simulation Results ◽  
New System

The complex grid of scroll chaotic attractors that are generated through nonlinear electronic circuits have been raised considerably over the last decades. In this paper, it is shown that a subclass of Cellular Nonlinear Networks (CNNs) allows us to generate complex dynamics and chaos in symmetry pattern. A novel grid of scroll chaotic attractor, based on a new system, shows symmetry scrolls about the origin. Also, the equilibrium points are located in a manner such that the symmetry about the line x=y has been achieved. The complex dynamics of system can be generated using CNNs, which in turn are derived from a CNN array (1×3) cells. The paper concerns on the design and implementation of 2×2 and 3×3 2D-grid of scroll via the CNN model. Theoretical analysis and numerical simulations of the derived model are included. The simulation results reveal that the grid of scroll attractors can be successfully reproduced using PSpice.

Dynamic phenomena of SCR-catalysts containing Fe-exchanged zeolites – experiments and computer simulations

2007 ◽  
Vol 42-43 (1-4) ◽  
pp. 33-36 ◽  
Author(s):  
S. Malmberg ◽  
M. Votsmeier ◽  
J. Gieshoff ◽  
N. Söger ◽  
L. Mußmann ◽  
...  
Keyword(s):  
Computer Simulations ◽  
Scr Catalysts ◽  
Dynamic Phenomena

scholarly journals Analysis of a Passive Memristor Crossbar

2018 ◽  
Vol 11 (1) ◽  
pp. 04-11
Author(s):  
Stoyan Kirilov ◽  
Valeri Mladenov
Keyword(s):  
Computer Simulations ◽  
Drift Mobility ◽  
The Self ◽  
Window Function ◽  
Normal Operation ◽  
Electronic Circuits ◽  
Switching Speed ◽  
Current Voltage ◽  
Memristor Crossbar ◽  
Good Coincidence

The purpose of the present research is to propose a detailed analysis of a fragment of a passive memristor memory crossbar. For computer simulations a previously proposed by the authors in another paper nonlinear dopant drift memristor model with a modified window function is now applied. The results obtained by the simulation are compared with experimentally recorded current-voltage relationships and with these derived by the use of several basic memristor models as well. A relatively good coincidence between the results is established. The fragment of a memristor memory crossbar is simulated for the procedures of writing, reading and erasing information in the memristor cells. The effect of the basic memristor parameters, as the ionic drift mobility, the ON and OFF resistances and the physical length of the element on its switching speed is discussed. After a number of simulations, it was established that due to the self-rectifying effect the parasitic sneak paths do not strongly influence the normal operation of the memristor memory crossbar. It is confirmed that the model with a modified Biolek window function proposed in our previous research could be used for simulations of complex memristive electronic circuits for hard-switching.

scholarly journals Theoretical Study of Synchronous Behavior in a Dual-Pendulum-Rotor System

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Fang Pan ◽  
Hou Yongjun ◽  
Dai Liming ◽  
Du Mingjun
Keyword(s):  
Mechanical Model ◽  
Theoretical Study ◽  
Parallel Robots ◽  
Rotor System ◽  
Spring Stiffness ◽  
Rotation Direction ◽  
Coupling System ◽  
Existence And Stability ◽  
Synchronous Behavior ◽  
Simplified Mechanical Model

A dual-pendulum-rotor system widely appears in aero-power plant, mining screening machines, parallel robots, and the like of the other rotation equipment. Unfortunately, the synchronous behavior related to the dual-pendulum-rotor system is less reported. Based on the special backgrounds, a simplified mechanical model of the dual-pendulum-rotor system is proposed in the paper, and the intrinsic mechanisms of synchronous phenomenon in the system are further revealed with employing the Poincaré method. The research results show that the spring stiffness, the installation angular of the motor, and rotation direction of the rotors have a large influence on the existence and stability of the synchronization state in the coupling system, and the mass ratios of the system are irrelevant to the synchronous state of the system. It should be noted that to ensure the implementation of the synchronization of the system, the values of the parameters of the system should be far away to the two “critical points”.

On the Nonlinear Dynamics of Pursuit Guidance for Marine Vehicles

1993 ◽  
Vol 37 (04) ◽  
pp. 342-353
Author(s):  
Fotis A. Papoulias
Keyword(s):  
Order Approximation ◽  
Design Parameters ◽  
Third Order ◽  
Marine Vehicles ◽  
Existence And Stability ◽  
Pure Pursuit ◽  
Fifth Order ◽  
Third Order Approximation ◽  
Dynamic Phenomena ◽  
Selection Of

A theoretical analysis of the nonlinear dynamic phenomena involved in pure pursuit guidance of marine vehicles is performed. Nomoto's model (Crane et al 1989) is used to provide the basis for the main vehicle turning lag. Results obtained in closed-form expressions demonstrate the existence of bifurcations to periodic solutions. The center manifold of the system is evaluated to within a third-order approximation. Third-and fifth-order expansions are utilized in order to provide information on limit cycle existence and stability. Recommendations regarding the appropriate selection of control design parameters are provided.

Connection Topology Selection in Central Pattern Generators by Maximizing the Gain of Information

2007 ◽  
Vol 19 (4) ◽  
pp. 974-993 ◽  
Author(s):  
Gregory R. Stiesberg ◽  
Marcelo Bussotti Reyes ◽  
Pablo Varona ◽  
Reynaldo D. Pinto ◽  
Ramón Huerta
Keyword(s):  
Theoretical Analysis ◽  
Computer Simulations ◽  
Central Pattern Generators ◽  
Rhythmic Activity ◽  
Pattern Generator ◽  
Spatiotemporal Patterns ◽  
Small Subset ◽  
Electronic Circuits ◽  
Invaluable Tool ◽  
Pattern Generators

A study of a general central pattern generator (CPG) is carried out by means of a measure of the gain of information between the number of available topology configurations and the output rhythmic activity. The neurons of the CPG are chaotic Hindmarsh-Rose models that cooperate dynamically to generate either chaotic or regular spatiotemporal patterns. These model neurons are implemented by computer simulations and electronic circuits. Out of a random pool of input configurations, a small subset of them maximizes the gain of information. Two important characteristics of this subset are emphasized: (1) the most regular output activities are chosen, and (2) none of the selected input configurations are networks with open topology. These two principles are observed in living CPGs as well as in model CPGs that are the most efficient in controlling mechanical tasks, and they are evidence that the information-theoretical analysis can be an invaluable tool in searching for general properties of CPGs.

scholarly journals Minding the Nuclear Store

1999 ◽  
Vol 121 (03) ◽  
pp. 68-69
Author(s):  
Michelle Perkins
Keyword(s):  
Computer Simulations ◽  
Computational Models ◽  
Steel Plate ◽  
X Rays ◽  
Electronic Circuits ◽  
Los Alamos ◽  
Visualization Software ◽  
Nuclear Tests ◽  
Advanced Visualization ◽  
Nuclear Warhead

A model from Los Alamos studies the deformation of a hypothetical nuclear device when it collides with a steel plate. This shows that simulations play a key role in establishing the reliability of nuclear weapons. The scientists at Los Alamos, Sandia, and Lawrence Livermore labs are turning to huge computers and advanced visualization software to test virtual models. Visualizing and analyzing the data generated by the computational models overwhelm traditional scientific visualization methods. Scientists at Sandia National Laboratories are using computer simulations to test whether the Navy’s W76 nuclear warhead could still function amid blasts of X-rays on a nuclear battlefield. The simulations try to mathematically predict what real X-rays would do as they go through the W76's electronic circuits. Real world tests are run with weaker X-rays and the results are compared with the computer simulations. Data from old underground nuclear tests are also used to validate the computer tests.

scholarly journals STUDY OF SYNCHRONIZED MOTIONS IN A ONE-DIMENSIONAL ARRAY OF COUPLED CHAOTIC CIRCUITS

1999 ◽  
Vol 09 (11) ◽  
pp. 2219-2224 ◽  
Author(s):  
ZBIGNIEW GALIAS ◽  
MACIEJ J. OGORZAŁEK
Keyword(s):  
Lyapunov Exponents ◽  
Coupling Strength ◽  
Numerical Experiments ◽  
Variational Equation ◽  
Electronic Circuits ◽  
One Dimensional ◽  
Synchronous Motion ◽  
Chaotic Circuits ◽  
The Stability ◽  
Theoretical Results

We investigate the stability of synchronous motion in an array of bidirectionally coupled electronic circuits. We compute Lyapunov exponents of the generic variational equation associated with directions transversal to the synchronization subspace. Using Lyapunov exponents we derive conditions for the coupling strength for which the stable synchronous solution exists. We also find the limit on the size of the network, which can sustain stable synchronous motion. Theoretical results are compared with the results of numerical experiments.

Influence of Magnetic Fields on Solar Hydrodynamics: Experimental Results

1977 ◽  
Vol 36 ◽  
pp. 143-180 ◽  
Author(s):  
J.O. Stenflo
Keyword(s):  
Solar Activity ◽  
Energy Balance ◽  
Magnetic Fields ◽  
Solar Atmosphere ◽  
General Problem ◽  
Solar Rotation ◽  
Active Regions ◽  
Physical Conditions ◽  
Dynamic Phenomena

It is well-known that solar activity is basically caused by the Interaction of magnetic fields with convection and solar rotation, resulting in a great variety of dynamic phenomena, like flares, surges, sunspots, prominences, etc. Many conferences have been devoted to solar activity, including the role of magnetic fields. Similar attention has not been paid to the role of magnetic fields for the overall dynamics and energy balance of the solar atmosphere, related to the general problem of chromospheric and coronal heating. To penetrate this problem we have to focus our attention more on the physical conditions in the ‘quiet’ regions than on the conspicuous phenomena in active regions.

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