1 citations · 1 across the 11 of their papers we have counts for
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A New Route to Chaos through the Geometric Composition of Non-Normal Amplification
D. Sornette, V. R. Saiprasad, V. Troude
Chaos emerges when stretching is repeatedly recycled by reinjection. We uncover a new route to chaos in which the decisive variable is the temporal order of non-normal tangent maps…
No persistent circadian oscillator at genome resolution: pseudo-coherence in gut microbiome dynamics
V. Troude, L. Takayasu, R. Maskawa +4
Diurnal rhythms in the gut microbiome are commonly read as evidence of host-driven entrainment or of microbial oscillators that synchronise to a common clock. We reanalyse hourly g…
Inferring Non-Normal Amplification Geometry from Multivariate Time Series
V. R. Saiprasad, V. Troude, D. Sornette
Across hydrodynamics, ecology, neuroscience, network dynamics, non-Hermitian physics, and socio-economic systems, asymptotically stable dynamics can exhibit large transient amplifi…
Pseudo-Coherence and Stochastic Synchronization: A Non-Normal Route to Collective Dynamics without Oscillators
V. Troude, D. Sornette
Collective temporal organization in complex systems is commonly attributed to synchronization, resonance, or proximity to dynamical instabilities. Here we identify a distinct mecha…
Non-Normal Route to Chaos
D. Sornette, V. R. Saiprasad, V. Troude
Deterministic chaos is usually associated with local spectral expansion: Jacobian eigenvalues are expected to exceed unity somewhere on the attractor. We show that this view is inc…