3 papers
nlin.CD2026
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…
physics.data-an2026
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…
nlin.CD2026
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…