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arXiv · 2604.16674

Experimental observation of chaotic and multistable dynamics in a Duffing--Holmes--type analog circuit: antiperiodicity and attractor-coexistence signatures

Patricia R. Gargiulo·Caracé Gutiérrez·Juan P. Tarigo·Cecilia Stari·Arturo C. Marti
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Abstract

An experimental study of a periodically forced Duffing--Holmes-type oscillator with a double-well potential, emulated by a piecewise-linear analog electronic circuit, is presented. By systematically varying the forcing amplitude and frequency, the full dynamical landscape of the system is characterized through bifurcation diagrams, Poincar\'e maps, and largest Lyapunov exponent calculations. The observed phenomenology includes period-doubling routes to chaos, periodic windows with multistability, intermittency, and antiperiodic orbits in which the trajectory recovers the global symmetry of the double-well potential. Multistability-induced discontinuities in the bifurcation diagrams are identified and interpreted as attractor-coexistence signatures arising from the sensitivity of the long-time dynamics to initial conditions, rather than as noise artifacts. These results are synthesized into a high-resolution two-dimensional map of the parameter space. The close agreement among all experimental diagnostics validates the fidelity of this analog implementation and demonstrates that continuous-time hardware provides a high-throughput platform for mapping complex nonlinear landscapes and resolving fine-scale multistable structures.

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Patricia R. Gargiulo, Caracé Gutiérrez, Juan P. Tarigo, Cecilia Stari, Arturo C. Marti. 2026-04-17. Experimental observation of chaotic and multistable dynamics in a Duffing--Holmes--type analog circuit: antiperiodicity and attractor-coexistence signatures. https://arxiv.org/abs/2604.16674

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