Open Conference Systems, DDAYS LAC 2024 Main Conference

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Supertransient Chaos in a Single and Coupled Liénard Systems
Tomasz Kapitaniak

Building: Cero Infinito
Room: 1403
Date: 2024-12-10 02:30 PM – 03:00 PM
Last modified: 2024-11-19

Abstract


We report the appearance of supertransient chaos in a single and two-coupled Liénard system with the influence of external periodic force. The existence of transient dynamics in a model is significantly long before it settles into the asymptotic steady state of periodic dynamics understood as supertransient chaos. The two diffusively coupled forced Liénard systems exhibit extremely long transient dynamics when their frequencies of the external forcing are slightly mismatched. Additionally, the coupled system signifies supertransient hyperchaotic dynamics for a specific set of system parameters. This study involves different numerical characterizations, statistical analysis, and hardware implementation using an analog electronic circuit.