ON ASYMPTOTICALLY STABILIZING THE RABINOVICH DYNAMICAL SYSTEM

2012 ◽  
Vol 09 (05) ◽  
pp. 1220008 ◽  
Author(s):  
RAMONA A. TUDORAN
Keyword(s):  
Dynamical System ◽  
Stable Equilibrium ◽  
Equilibrium States

In this paper we give a method to stabilize asymptotically the nontrivial Lyapunov stable equilibrium states of the Rabinovich dynamical system.

scholarly journals Metastable and stable equilibrium states of stellar electron-nuclear plasmas

2005 ◽  
Vol 336 (4-5) ◽  
pp. 370-377 ◽  
Author(s):  
F. Ferro ◽  
A. Lavagno ◽  
P. Quarati
Keyword(s):  
Stable Equilibrium ◽  
Equilibrium States

What is Diffusion?

1994 ◽  
Vol 116 (2) ◽  
pp. 136-139 ◽  
Author(s):  
E. P. Gyftopoulos ◽  
M. I. Flik ◽  
G. P. Beretta
Keyword(s):  
Stable Equilibrium ◽  
Equilibrium States ◽  
Diffusion Interaction ◽  
Energy Entropy ◽  
Two Systems ◽  
Interacting Systems ◽  
Pass Through

In earlier publications, heat Q← is defined as an interaction that is entirely distinguishable from work W→. The energy exchanged Q← is TQ times the entropy exchanged S←, where TQ is the almost common temperature of the interacting systems. Here, we define diffusion as another interaction that is entirely distinguishable from both work and heat, and that involves exchanges of energy, entropy, and amount of a constituent. It is an interaction between two systems A and B that pass through stable equilibrium states while their respective parameters remain fixed, and that have almost equal temperatures TA ≈ TB ≈ TD and almost equal total potentials μA ≈ μB ≈ μD of the diffusing constituent. The exchanges of entropy S→, energy E→, and amount of constituent n→ out of one system satisfy the relation S→ = (E→ −μDn→)/TD. In the limit of n→ = 0, a diffusion interaction becomes heat.

scholarly journals One of the possible mechanisms for generating the seismic mode “drumbeats” when moving the Kizimen Volcano viscous lava flow along the slope in 2011-2012

2020 ◽  
Vol 2 (3) ◽  
pp. 43-56
Author(s):  
Alexandra Shakirova ◽  
Pavel Firstov ◽  
Mikhail Lemzikov
Keyword(s):  
Lava Flow ◽  
Phenomenological Model ◽  
Stable Equilibrium ◽  
Equilibrium States ◽  
Dynamic Parameters ◽  
Volcano Eruption ◽  
The World ◽  
Magma System ◽  
First Time

"Drumbeats" is an unusual seismic mode consisting of volcanic micro-earthquakes with monotonous waveforms (multiplets) that are recorded from tens of minutes to months. Due to the quasi-regularity of the occurrence of earthquakes, the mode was called "drumbeats". The "drumbeats" mode is registered when individual blocks are squeezed out on the extrusive domes of andesite and dacite volcanoes of the world and occurs at stable equilibrium states in the channel-magma system during an eruption. For the first time in the world practice of volcanological research, the "drumbeats" mode was registered, accompanying the movement of a viscous lava flow with a volume of 0.3 km3 of the Kizimen volcano eruption in 2010-2013. The paper considers kinematic and dynamic parameters of micro-earthquakes of the "drumbeats" mode, their mechanisms, and offers a phenomenological model for generating the "drumbeats" mode that occurs when a lava flow moves along the slope of the Kizimen volcano.

What is a Simple System?*

2015 ◽  
Vol 137 (2) ◽  
Author(s):  
Gian Paolo Beretta ◽  
Elias P. Gyftopoulos
Keyword(s):  
Thermodynamic Equilibrium ◽  
Stable Equilibrium ◽  
Equilibrium States ◽  
Simple System

We discuss relations among properties of systems that consist of any amounts of constituents (including one particle), that have volume as the only parameter, and that are in thermodynamic equilibrium or stable equilibrium states. For large amounts of constituents, we introduce the concept of a simple system, and derive additional relations among properties.

A unified quantum theory of mechanics and thermodynamics. Part IIb. Stable equilibrium states

1976 ◽  
Vol 6 (4) ◽  
pp. 439-455 ◽  
Author(s):  
George N. Hatsopoulos ◽  
Elias P. Gyftopoulos
Keyword(s):  
Quantum Theory ◽  
Stable Equilibrium ◽  
Equilibrium States

ON ASYMPTOTICALLY STABILIZING THE PLANAR MOTIONS OF AN AUTONOMOUS UNDERWATER VEHICLE

2011 ◽  
Vol 08 (07) ◽  
pp. 1455-1464
Author(s):  
ŞTEFAN NICOARĂ
Keyword(s):  
Stable Equilibrium ◽  
Autonomous Underwater Vehicle ◽  
Underwater Vehicle ◽  
Equilibrium States ◽  
Planar Motions

In this paper we give a method to stabilize asymptotically the Lyapunov stable equilibrium states of a system describing the planar motions of an autonomous underwater vehicle.

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