Experimental Acquisition and Verification of Spectral Signatures of Dynamic Bifurcations
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915972658495488 |
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| author | Maity, Suvradip Guha, Debajyoti Banerjee, Soumitro |
| author_facet | Maity, Suvradip Guha, Debajyoti Banerjee, Soumitro |
| contents | Spectral bifurcation diagrams (SBDs) have recently emerged as an efficient tool for identifying dynamical transitions in nonlinear systems through frequency-domain analysis. Previous studies have been limited to numerical investigations, and the experimental realization of SBDs has remained unexplored. In this work, we develop an automated framework using analog electronic circuits and data acquisition (DAQ) systems to obtain SBDs from real-time measurements. The method enables controlled parameter variation and simultaneous acquisition of time-series data for spectral analysis. Using this approach, we experimentally capture characteristic spectral signatures of dynamical bifurcations, such as period-doubling, quasiperiodicity (two- and three-frequency), and torus length-doubling. The experimental results show strong qualitative agreement with the numerical predictions, despite noise and parameter mismatches. This study establishes SBD as an effective tool for the experimental analysis of nonlinear dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00672 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental Acquisition and Verification of Spectral Signatures of Dynamic Bifurcations Maity, Suvradip Guha, Debajyoti Banerjee, Soumitro Chaotic Dynamics Spectral bifurcation diagrams (SBDs) have recently emerged as an efficient tool for identifying dynamical transitions in nonlinear systems through frequency-domain analysis. Previous studies have been limited to numerical investigations, and the experimental realization of SBDs has remained unexplored. In this work, we develop an automated framework using analog electronic circuits and data acquisition (DAQ) systems to obtain SBDs from real-time measurements. The method enables controlled parameter variation and simultaneous acquisition of time-series data for spectral analysis. Using this approach, we experimentally capture characteristic spectral signatures of dynamical bifurcations, such as period-doubling, quasiperiodicity (two- and three-frequency), and torus length-doubling. The experimental results show strong qualitative agreement with the numerical predictions, despite noise and parameter mismatches. This study establishes SBD as an effective tool for the experimental analysis of nonlinear dynamical systems. |
| title | Experimental Acquisition and Verification of Spectral Signatures of Dynamic Bifurcations |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2605.00672 |