1 citations · 1 across the 11 of their papers we have counts for
12 papers
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…
Life as Non-Normal Chemical Accelerator
Didier Sornette, Virgile Troude
Life is commonly described as a self-organized, far-from-equilibrium process that maintains internal order by consuming free energy and exporting entropy. This thermodynamic view u…
Non-Normal Eigenvector Amplification in Multi-Dimensional Kesten Processes
Virgile Troude, Didier Sornette
Heavy-tailed fluctuations and power law statistics pervade physics, finance, and economics, yet their origin is often ascribed to systems poised near criticality. Here we show that…
Phase Transitions Without Instability: A Universal Mechanism from Non-Normal Dynamics
Virgile Troude, Didier Sornette
We identify a new universality class of phase transitions that arises in non-normal systems, challenging the classical view that transitions require eigenvalue instabilities. In tr…
Eigenvector Geometry as a New Route to Criticality in Random Multiplicative Systems
Virgile Troude, Didier Sornette
Heavy-tailed fluctuations and power law distributions pervade physics, biology, and the social sciences, with numerous mechanisms proposed for their emergence. Kesten processes, wh…
Unifying Framework for Amplification Mechanisms: Criticality, Resonance and Non-Normality
Virgile Troude, Didier Sornette
We bring together three key amplification mechanisms in linear dynamical systems: spectral criticality, resonance, and non-normality. We present a unified linear framework that bot…
Non-Normal Phase Transitions: A New Universality in Complex Systems
Virgile Troude, Didier Sornette
We identify a new universality class of phase transitions that emerges in non-normal systems, extending the classical framework beyond eigenvalue instabilities. Unlike traditional…
Illusions of Criticality: Crises Without Tipping Points
Virgile Troude, Sandro Claudio Lera, Ke Wu +1
Abrupt shifts in ecosystems, brains, markets, and climate are often diagnosed as signs of approaching a tipping point, i.e. a critical bifurcation where stability is lost. Here we…