Work

Nonlinear Stability for an Anisotropic Harmonic Oscillator Coupled by a Rotating Cubic Potential

Year: 2026

Type: article

Abstract: In this paper we consider a nonisotropic harmonic oscillator with Coriolis coupling, perturbed by a generalized cubic Hénon-Heiles potential. This model depends on three parameters which play an important role in the symmetry breaking of the classical Hénon-Heiles system. The main goal is to describe the equilibrium solutions of the system and their linear stability character. We also analyze the nonlinear stability of the equilibrium point at the origin, showing how the symmetry breaking, which manifests itself through the parameters of the problem, affects the stability properties through resonances.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-026-10542-x

Authors: Víctor Lanchares, Ana Isabel Pascual, Claudio Vidal

Institutions: Universidad de La Rioja, University of Bío-Bío

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Ministerio de Ciencia e Innovación, Universidad de La Rioja, Fondo Nacional de Desarrollo Científico y Tecnológico