  We report the emergence of peculiar chimera states in networks of identical
pendula with global phase-lagged coupling. The states reported include both
rotating and quiescent modes, i.e. with non-zero and zero average frequencies.
This kind mixed-mode chimeras may be interpreted as images of bump states known
in neuroscience in the context of modelling the working memory. We illustrate
this striking phenomenon for a network of N=100 coupled pendula, followed by a
detailed description of the minimal non-trivial case of N=3. Parameter regions
for five characteristic types of the system behavior are identified consisting:
two mixed-mode chimeras with one and two rotating pendula, classical weak
chimera with all three pendula rotating, synchronous rotation and quiescent
state. The network dynamics is multistable: up to four of the states can
coexist in the system phase state as demonstrated through the basins of
attraction. The analysis suggests that the robust mixed-mode chimera states can
generically describe the complex dynamics of diverse pendula-like systems
widespread in nature.
