2026-05-10T08:09:13.879Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:1:11877 2026-04-09T17:29:35Z 1

Deterministic SU(2) Dynamics and Geometric Ill-Conditioning of Inverse Seed Reconstruction 2026 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/1/11877 https://ieeexplore.ieee.org/document/11435789 B. Tomašević Dražić M. Dražić M. Veinović We analyze deterministic dynamics on the compact Lie group SU(2) and investigate the conditioning of inverse seed reconstruction under finite numerical precision. Although sensitivity to initial conditions is commonly associated with Lyapunov-type chaotic divergence, we show that a different mechanism governs inverse instability in this setting. Using a fully specified deterministic seed update rule and an axis-angle parametrization of SU(2) transformations, we construct a numerical framework and quantify sensitivity via a phase-invariant spinor distance. For fixed iteration depth, the final error scales linearly with the initial seed perturbation, with a stable exponent β≈1, indicating locally Lipschitz forward behavior. In contrast, the temporal evolution of the error is intermittent, showing plateaus and sudden jumps, rather than the uniform exponential growth characteristic of classical Lyapunov divergence. We show that the inverse instability in deterministic SU(2) dynamics is dominated by geometric effects, which arise from the non-commutativity and holonomy of successive rotations, leading to severe numerical ill-conditioning despite stable forward evolution. conferenceObject 10.1109/IT67293.2026.11435789 Proceedings