Theoretical investigation of the stability of the modes in an array of coupled oscillators for linear and circular arrangements

2006 ◽  
Author(s):  
A. Banai ◽  
F. Farzaneh
Keyword(s):  
Theoretical Investigation ◽  
Coupled Oscillators ◽  
The Stability ◽  
Circular Arrangements

Experimental and theoretical investigation of the stability of stepwise pH gradients in continuous flow electrophoresis

1987 ◽  
Vol 8 (11) ◽  
pp. 503-508 ◽  
Author(s):  
Reinhard Kuhn ◽  
Horst Wagner ◽  
Richard A. Mosher ◽  
Wolfgang Thormann
Keyword(s):  
Theoretical Investigation ◽  
Continuous Flow ◽  
Ph Gradients ◽  
The Stability

6 Theoretical investigation of the stability, reactivity, and the interaction of methylsubstituted peridinium-based ionic liquids

2021 ◽  
pp. 103-118
Author(s):  
Emmanuel A. Bisong ◽  
Hitler Louis ◽  
Tomsmith O. Unimuke ◽  
Victoria M. Bassey ◽  
John A. Agwupuye ◽  
...  
Keyword(s):  
Ionic Liquids ◽  
Theoretical Investigation ◽  
The Stability

Experimental and theoretical investigation of the stability of the monoclinicBaWO4-II phase at high pressure and high temperature

2010 ◽  
Vol 81 (14) ◽  
Author(s):  
R. Lacomba-Perales ◽  
D. Martinez-García ◽  
D. Errandonea ◽  
Y. Le Godec ◽  
J. Philippe ◽  
...  
Keyword(s):  
High Pressure ◽  
High Temperature ◽  
Theoretical Investigation ◽  
The Stability

Theoretical Investigation on the Stability of Negatively Charged Formic Acid Clusters

2010 ◽  
Vol 114 (26) ◽  
pp. 6917-6926 ◽  
Author(s):  
Leonardo Baptista ◽  
Diana P. P. Andrade ◽  
Alexandre B. Rocha ◽  
Maria Luiza M. Rocco ◽  
Heloisa Maria Boechat-Roberty ◽  
...  
Keyword(s):  
Formic Acid ◽  
Theoretical Investigation ◽  
The Stability

Theoretical investigation of the stability of highly charged C60 molecules produced with intense near-infrared laser pulses

2006 ◽  
Vol 125 (18) ◽  
pp. 184306 ◽  
Author(s):  
Riadh Sahnoun ◽  
Katsunori Nakai ◽  
Yukio Sato ◽  
Hirohiko Kono ◽  
Yuichi Fujimura ◽  
...  
Keyword(s):  
Theoretical Investigation ◽  
Near Infrared ◽  
Laser Pulses ◽  
Infrared Laser ◽  
The Stability

SYMMETRY BREAKING BIFURCATIONS OF CHAOTIC ATTRACTORS

1995 ◽  
Vol 05 (06) ◽  
pp. 1643-1676 ◽  
Author(s):  
PHILIP J. ASTON ◽  
MICHAEL DELLNITZ
Keyword(s):  
Lyapunov Exponent ◽  
Symmetry Breaking ◽  
Coupled Oscillators ◽  
Dynamical Behavior ◽  
Invariant Sets ◽  
Chaotic Attractors ◽  
Loss Of Stability ◽  
Efficient Computation ◽  
The Stability

In an array of coupled oscillators, synchronous chaos may occur in the sense that all the oscillators behave identically although the corresponding motion is chaotic. When a parameter is varied this fully symmetric dynamical state can lose its stability, and the main purpose of this paper is to investigate which type of dynamical behavior is expected to be observed once the loss of stability has occurred. The essential tool is a classification of Lyapunov exponents based on the symmetry of the underlying problem. This classification is crucial in the derivation of the analytical results but it also allows an efficient computation of the dominant Lyapunov exponent associated with each symmetry type. We show how these dominant exponents determine the stability of invariant sets possessing various instantaneous symmetries, and this leads to the idea of symmetry breaking bifurcations of chaotic attractors. Finally, the results and ideas are illustrated for several systems of coupled oscillators.

scholarly journals TWO MODELS OF NONSMOOTH DYNAMICAL SYSTEMS

2011 ◽  
Vol 21 (10) ◽  
pp. 2853-2860 ◽  
Author(s):  
MADELEINE PASCAL
Keyword(s):  
Dry Friction ◽  
Coupled Oscillators ◽  
Degrees Of Freedom ◽  
Analytical Form ◽  
Critical Value ◽  
Form Solution ◽  
Nonsmooth Systems ◽  
The Stability ◽  
Close Form ◽  
Nonsmooth Dynamical Systems

Two examples of nonsmooth systems are considered. The first one is a two degrees of freedom oscillator in the presence of a stop. A discontinuity appears when the system position reaches a critical value. The second example consists of coupled oscillators excited by dry friction. In this case, the discontinuity occurs when the system's velocities take a critical value. For both examples, the dynamical system can be partitioned into different configurations limited by a set of boundaries. Within each configuration, the dynamical model is linear and the close form solution is known. Periodic orbits, including several transitions between the various configurations of the system, are found in analytical form. The stability of these orbits is investigated by using the Poincaré map modeling.

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