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nlin.CD2026
Geometric Transition of Latent Dynamics in Intermittent Chaos: SVD-based Effective Dimension for Detection and Proactive Control
Takashi Hikihara, Tetsushi Saburi
This paper investigates the geometric detection of latent dynamic transitions (where the latent space is defined as a finite-dimensional state space reconstructed via a delay-embed…
nlin.AO2026
Asymmetric Coupling Anisotropy for Causal Information Filtering in Physical Reservoirs
Takashi Hikihara, Yuma Aoki
We demonstrate a physical mechanism for causal information filtering in a physical reservoir computing (PRC) by exploiting asymmetric coupling anisotropy. Using a network of couple…
nlin.CD2026
Homoclinic Intersections and the Macroscopic Observability of Arnold Tongues in the Forced-Dissipative Duffing System
Takashi Hikihara
Dissipative chaos often exhibits abrupt transitions to periodic windows or vanishing states, but these transitions occur far below macroscopic theoretical boundaries such as the Me…