Theoretical analysis reveals a spectral-temporal taxonomy of interventions in complex dynamical systems, suggesting structured methods for governing multiscale and nonlinear processes.
This paper develops a Type-II generative-relational taxonomy of governance organized around the spectral-temporal structures through which heterogeneous processes evolve and interact. The preceding generative-relational taxonomy, retrospectively designated Type-I, classifies governance according to the structural objects upon which intervention directly operates. The present taxonomy introduces an orthogonal representational coordinate concerned with characteristic timescales, spectral components, phase relations, synchronization, entrainment, resonance, interference, polyfrequency organization, cross-frequency coupling, and changes in overall spectral regime. Nine governance families are distinguished: timescale governance; spectral-selective governance; phase governance; synchronization and entrainment governance; resonance governance; superposition, interference, and beat governance; harmonic and polyfrequency governance; cross-frequency and modulation governance; and spectral-regime governance. Each family is further decomposed into more specific intervention mechanisms, including fast-flow and slow-flow governance, phase alignment and resetting, frequency and phase locking, resonance damping and detuning, interference management, heterogeneous temporal coherence, cross-frequency modulation, and spectral-regime transition management. The classification follows a direct-support principle: an intervention is assigned according to the spectral-temporal object or relation that it directly transforms, while subsequent changes elsewhere in the system are treated as propagated effects unless they are themselves directly governed. The framework uses dynamical-systems and signal-theoretic languages as formal representations while allowing nonstationary, nonlinear, multiscale, and partially observable systems. Its broader objective is to provide a systematic vocabulary for governance across heterogeneous rhythms and temporal modes, and to establish a second representational foundation for subsequent analysis of transformations between structural and spectral-temporal descriptions of governance.
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Wanhong HUANG (2026) studied this question.
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