Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Online Access: | https://doi.org/10.5281/zenodo.19560532 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- <p class="MsoNormal"><span>This paper develops a comparative framework for four closely related but non-identical notions: Hamiltonian chaos, chaos in the Trojan Universality Class (TUC), dissipation acting on a Hamiltonian conservative skeleton, and Trojan dissipation. The central claim is that these notions should not be conflated under the generic heading of instability. In the framework of Doucette (2026), Trojan structure is defined by a dynamically distinguished operating point, two dominant nonlinearly coupled oscillatory modes, a persistent spectral gap, and the resulting nearly integrable organization of phase space. Within that architecture, chaos remains a symplectic phenomenon: it preserves phase-space volume, conserves the Hamiltonian, and is constrained by resonance geometry. Trojan chaos is therefore not merely ordinary Hamiltonian chaos under a different label, but Hamiltonian chaos filtered by spectral separation, sparse resonances, and high-order normal forms. Dissipation, by contrast, is a change of category. It breaks symplectic invariance, introduces compressibility and energy drift, and produces secular transport across the conservative skeleton. In deep Trojan regimes, that drift often determines observed lifetime more decisively than conservative chaotic leakage. Formal theorem-style results are stated and proved in manuscript form, and each is followed by a detailed interpretive analysis. The paper concludes that the most useful organizing distinction is not regular versus chaotic, but conservative skeleton versus nonconservative drift.</span></p>