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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.22875 |
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| _version_ | 1866908909276495872 |
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| author | Vijayan, Vinesh Satishkumar, P Sumathi, Dinesh Wankhade. R |
| author_facet | Vijayan, Vinesh Satishkumar, P Sumathi, Dinesh Wankhade. R |
| contents | We investigate parametric modulation of the nonlinear coupling in the Henon Heiles system, which directly modifies intrinsic resonance structure in a manner complementary to additive forcing. Canonical perturbation theory in extended phase space yields normal forms predicting resonance tongues scaling as $\sqrt{\varepsilon}$ near commensurate frequencies. Melnikov analysis quantifies separatrix splitting and chaos onset, confirmed by symplectic simulations showing transition from localized resonances to global transport via overlap. High-frequency averaging reveals potential stiffening that suppresses chaos. parametric modulation of nonlinear coupling provides an alternative route for generating combination resonances and influencing chaotic dynamics |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22875 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Parametric Modulation of Nonlinear Coupling in the Hénon Heiles System: Resonances, Chaos, and Stabilization Vijayan, Vinesh Satishkumar, P Sumathi, Dinesh Wankhade. R Chaotic Dynamics We investigate parametric modulation of the nonlinear coupling in the Henon Heiles system, which directly modifies intrinsic resonance structure in a manner complementary to additive forcing. Canonical perturbation theory in extended phase space yields normal forms predicting resonance tongues scaling as $\sqrt{\varepsilon}$ near commensurate frequencies. Melnikov analysis quantifies separatrix splitting and chaos onset, confirmed by symplectic simulations showing transition from localized resonances to global transport via overlap. High-frequency averaging reveals potential stiffening that suppresses chaos. parametric modulation of nonlinear coupling provides an alternative route for generating combination resonances and influencing chaotic dynamics |
| title | Parametric Modulation of Nonlinear Coupling in the Hénon Heiles System: Resonances, Chaos, and Stabilization |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2603.22875 |