SPATIAL SYMMETRIES AND GEOMETRICAL PHASES IN CLASSICAL DISSIPATIVE SYSTEMS
1993 ◽
Vol 07
(02)
◽
pp. 71-82
◽
Keyword(s):
We describe the emergence of geometrical phases in dissipative systems with continuous spatial symmetries. The phase characterizes the spatial shift of a wave pattern that arises as the result of a cyclic adiabatic transport of control parameters of the system. Geometrical phases are calculated for both stationary and propagating wave patterns. Complementary formulations are provided for finite-dimensional and continuum systems. The theory is used to determine the phase shift for a traveling wave front in a standard reaction-diffusion model.
2011 ◽
Vol 134
(9)
◽
pp. 094117
◽
Keyword(s):
2021 ◽
Vol 7
(3)
◽
Keyword(s):
Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
2020 ◽
Vol 21
(7-8)
◽
pp. 749-759
Keyword(s):
2008 ◽
Vol 96
◽
pp. 012051
◽