  We report the clean experimental realization of cubic-quintic complex
Ginzburg-Landau physics in a single driven, damped system. Four numerically
predicted categories of complex dynamical behavior and pattern formation are
identified for bright and dark solitary waves propagating around an active
magnetic thin film-based feedback ring: (1) periodic breathing; (2) complex
recurrence; (3) spontaneous spatial shifting; and (4) intermittency. These
nontransient, long lifetime behaviors are observed in microwave spin wave
envelopes circulating within a dispersive, nonlinear yttrium iron garnet
waveguide operating in a ring geometry where the net losses are directly
compensated for via linear amplification on each round trip O(100 ns). The
behaviors exhibit periods ranging from tens to thousands of round trip times
O($\mu$ s) and are stable for 1000s of periods O(ms). We present 10
observations of these dynamical behaviors which span the experimentally
accessible ranges of attractive cubic nonlinearity, dispersion, and external
field strength that support the self-generation of backward volume spin waves
in a four-wave-mixing dominant regime. Three-wave splitting is not explicitly
forbidden and is treated as an additional source of nonlinear losses. Each of
these long lifetime behaviors of bright solitary waves was previously
numerically predicted to be observable. The dynamical pattern formation of dark
solitary waves in attractive nonlinearity, however, is entirely novel and is
reported for both the periodic breather and complex recurrence behaviors. All
behaviors are identified in the group velocity co-moving frame.
