Construction and mechanistic analysis of high-dimensional Hamiltonian conserved chaotic systems with complex multistability and offset enhancement via biaxial coupling of identical states

Minxiu Yan and Zhesong Ding

Chaos, Solitons & Fractals, 2026, vol. 202, issue P2

Abstract: This paper introduces a framework for constructing high-dimensional Hamiltonian conservative hyperchaotic systems through biaxial coupling. The proposed method integrates identical state variables into the structural matrix of conservative chaotic systems in four or higher dimensions. Biaxial coupling is strategically employed to enhance dynamical complexity while improving synchronization stability. By adjusting system parameters and initial conditions, the system demonstrates consistent rich dynamical behaviors under similar configurations, including hyperchaos, extreme multistability, and offset boosting phenomena. The conservative and chaotic nature of the system is validated through comprehensive analysis of phase portraits, equilibrium stability, Lyapunov exponents, bifurcation diagrams, and complexity metrics. This study elucidates the formation mechanisms of offset boosting and extreme multistability in Hamiltonian conservative chaotic systems, and confirms that multistability-associated offset boosting can be quantitatively controlled.

Keywords: Conservative Hamiltonian chaotic systems; Biaxial coupling; Identical state variables; Extreme multistability; Offset boosting (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925016145

DOI: 10.1016/j.chaos.2025.117601

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