Toni
Schneider
nonuniform state
show
Many systems which are driven away from equilibrium by pumping or forcing show an instability of a stationary uniform state to a new stationary or travelling-wave state with broken translational symmetry. In continuous systems the loss of stability of the uniform state, which is usually associated with a destabilization of a normal mode, gives rise to a bifurcation of a whole manifold of new solutions. The task is then to select the members of this manifold according to their stability properties, and thus to find the candidates which may be physically realised. The travelling-wave case can be reduced to the stationary case by a transformation to a moving frame. In this paper, we therefore focus attention to stationary states.
whole manifold
attention
instability
1978-01-01
https://scigraph.springernature.com/explorer/license/
Stability of Nonuniform States in Systems Exhibiting Continuous Bifurcation
translational symmetry
uniform state
properties
solution
new solutions
symmetry
equilibrium
mode
candidates
system
stability properties
destabilization
bifurcation
321-325
normal modes
members
frame
https://doi.org/10.1007/978-3-642-81291-0_35
transformation
paper
task
false
continuous system
cases
loss of stability
continuous bifurcation
chapters
chapter
stability
1978
stationary state
state
loss
traveling-wave state
manifold
stationary case
2022-11-24T21:18
Springer Nature
Thomas
H.
Physical Chemistry (incl. Structural)
dimensions_id
pub.1016879167
doi
10.1007/978-3-642-81291-0_35
978-3-642-81291-0
978-3-642-81293-4
Solitons and Condensed Matter Physics
Alan R.
Bishop
Chemical Sciences
Institut für Physik, Universität Basel, Klingelbergstraße 82, CH-4056, Basel, Switzerland
Institut für Physik, Universität Basel, Klingelbergstraße 82, CH-4056, Basel, Switzerland
Büttiker
M.
Springer Nature - SN SciGraph project