Stability Boundaries of the Dynamic States in Pulsating and Cellular Flames

1999 ◽  
pp. 101-110
Author(s):  
Michael Gorman
Keyword(s):  
Stability Boundaries ◽  
Cellular Flames ◽  
Dynamic States

Symmetrizable Difference Dchemes

2005 ◽  
Vol 5 (1) ◽  
pp. 3-50 ◽  
Author(s):  
Alexei A. Gulin
Keyword(s):  
Initial Data ◽  
Difference Scheme ◽  
Difference Schemes ◽  
Time Dependent ◽  
Stability Boundaries ◽  
Typical Representative ◽  
Variable Weight ◽  
The Stability ◽  
Conditions Of Stability ◽  
The Right

AbstractA review of the stability theory of symmetrizable time-dependent difference schemes is represented. The notion of the operator-difference scheme is introduced and general ideas about stability in the sense of the initial data and in the sense of the right hand side are formulated. Further, the so-called symmetrizable difference schemes are considered in detail for which we manage to formulate the unimprovable necessary and su±cient conditions of stability in the sense of the initial data. The schemes with variable weight multipliers are a typical representative of symmetrizable difference schemes. For such schemes a numerical algorithm is proposed and realized for constructing stability boundaries.

Stability boundaries of gas hydrates helped by methane—structure-H hydrates of methylcyclohexane and cis-1,2-dimethylcyclohexane

2003 ◽  
Vol 58 (2) ◽  
pp. 269-273 ◽  
Author(s):  
Toshiyuki Nakamura ◽  
Takashi Makino ◽  
Takeshi Sugahara ◽  
Kazunari Ohgaki
Keyword(s):  
Gas Hydrates ◽  
Stability Boundaries

scholarly journals Quiescent Gap Solitons in Coupled Nonuniform Bragg Gratings with Cubic-Quintic Nonlinearity

2021 ◽  
Vol 11 (11) ◽  
pp. 4833
Author(s):  
Afroja Akter ◽  
Md. Jahedul Islam ◽  
Javid Atai
Keyword(s):  
Numerical Stability ◽  
Bragg Gratings ◽  
Stability Boundaries ◽  
Quintic Nonlinearity ◽  
Numerical Stability Analysis ◽  
Gap Solitons ◽  
The Stability ◽  
Dual Core

We study the stability characteristics of zero-velocity gap solitons in dual-core Bragg gratings with cubic-quintic nonlinearity and dispersive reflectivity. The model supports two disjointed families of gap solitons (Type 1 and Type 2). Additionally, asymmetric and symmetric solitons exist in both Type 1 and Type 2 families. A comprehensive numerical stability analysis is performed to analyze the stability of solitons. It is found that dispersive reflectivity improves the stability of both types of solitons. Nontrivial stability boundaries have been identified within the bandgap for each family of solitons. The effects and interplay of dispersive reflectivity and the coupling coefficient on the stability regions are also analyzed.

DRY TURBULENCE FROM A TIME-DELAYED CHUA'S CIRCUIT

1993 ◽  
Vol 03 (02) ◽  
pp. 645-668 ◽  
Author(s):  
A. N. SHARKOVSKY ◽  
YU. MAISTRENKO ◽  
PH. DEREGEL ◽  
L. O. CHUA
Keyword(s):  
Difference Equation ◽  
Stability Region ◽  
Nonlinear Difference Equation ◽  
Chua’S Circuit ◽  
Stability Boundaries ◽  
Chua's Circuit ◽  
Infinite Dimensional ◽  
Chaotic Region ◽  
The Stability ◽  
Left Portion

In this paper, we consider an infinite-dimensional extension of Chua's circuit (Fig. 1) obtained by replacing the left portion of the circuit composed of the capacitance C2 and the inductance L by a lossless transmission line as shown in Fig. 2. As we shall see, if the remaining capacitance C1 is equal to zero, the dynamics of this so-called time-delayed Chua's circuit can be reduced to that of a scalar nonlinear difference equation. After deriving the corresponding 1-D map, it will be possible to determine without any approximation the analytical equation of the stability boundaries of cycles of every period n. Since the stability region is nonempty for each n, this proves rigorously that the time-delayed Chua's circuit exhibits the "period-adding" phenomenon where every two consecutive cycles are separated by a chaotic region.

On stability boundaries of conservative systems

2001 ◽  
Vol 52 (4) ◽  
pp. 669-679 ◽  
Author(s):  
P. Seyranian ◽  
A. A. Mailybaev
Keyword(s):  
Stability Boundaries ◽  
Conservative Systems

Two-stream and filamentation instabilities for a light ion beam—plasma system

1987 ◽  
Vol 37 (3) ◽  
pp. 373-382 ◽  
Author(s):  
Toshio Okada ◽  
Winfried Schmidt
Keyword(s):  
Proton Beam ◽  
Size Effects ◽  
Ion Beam ◽  
Plasma Heating ◽  
Finite Size ◽  
Stability Conditions ◽  
Plasma System ◽  
Finite Size Effects ◽  
Stability Boundaries ◽  
Gas Discharges

Electrostatic two-stream and electromagnetic filamentation instabilities for a light ion beam penetrating a plasma are investigated. The dispersion relations of these instabilities including the effect of plasma heating by the ion beam are solved analytically and numerically. Stability conditions are derived for propagation through a plasma. Attention is paid to the finite size effects of beams with small diameters of the order 0·1 cm typical for pinched gas discharges. The results are illustrated by plotting stability boundaries for a 100 keV proton beam propagating through a plasma.

scholarly journals Intermittent Switching between Soliton Dynamic States in a Perturbed Sine-Gordon Model

1983 ◽  
Vol 51 (20) ◽  
pp. 1919-1922 ◽  
Author(s):  
M. P. Soerensen ◽  
N. Arley ◽  
P. L. Christiansen ◽  
R. D. Parmentier ◽  
O. Skovgaard
Keyword(s):  
Sine Gordon Model ◽  
Soliton Dynamic ◽  
Intermittent Switching ◽  
Dynamic States

APPLICABILITY OF BRAY-LIEBHAFSKY REACTION FOR CHEMICAL COMPUTING

2021 ◽  
Author(s):  
Željko Čupić ◽  
◽  
Ana I vanović Šašić ◽  
Stevan Maćešić ◽  
Slobodan Anić ◽  
...  
Keyword(s):  
Hydrogen Peroxide ◽  
Numerical Simulations ◽  
Reaction System ◽  
Dynamic State ◽  
Oscillatory Reaction ◽  
Oscillatory Reactions ◽  
Dynamic States

The first discovered homogeneous oscillatory reaction was the Bray-Liebhafsky (BL) one, described in a paper published exactly 100 years ago. However, the applicability of oscillatory reactions in chemical computing was recently discovered. Here we intend to expose the native computing concept applied to intermittent states of the BL reaction, because we believe that this particular state may have some advantages. For this purpose, numerical simulations will be used based on the known model. Sequences of perturbations will be introduced by adding iodate (IO3-) and hydrogen peroxide (H2O2), separately, as well as in various combinations with one another. It will be shown that dynamic states obtained after perturbations with same species depend very much on the sequence in which these species were used in perturbations. Additionally, it will be shown that obtained dynamic states shift the system from chaotic intermittent dynamic state to different complex periodic states. Hence, the applicability of the BL reaction system in chemical computing was demonstrated.

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