The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping
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Publication:6146609
DOI10.3934/dcds.2023126MaRDI QIDQ6146609
Mingxing Xu, Kaiyin Huang, Shaoyun Shi
Publication date: 15 January 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Hamilton's equations (70H05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)
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Cites Work
- Unnamed Item
- On S-shaped bifurcation curves for a two-point boundary value problem arising in a theory of thermal explosion
- A Rikitake type system with one control
- On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control
- On the Hamiltonian dynamics and geometry of the Rabinovich system
- The local structure of Poisson manifolds
- On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control
- On a Hamiltonian version of a three-dimensional Lotka-Volterra system
- Stability and periodic oscillations in the Moon-Rand systems
- Stationary shear flows of nematic liquid crystals: a comprehensive study via Ericksen-Leslie model
- Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions
- On the completely integrable case of the Rössler system
- On a Hamiltonian Version of the Rikitake System
- On a large class of three-dimensional Hamiltonian systems
- On the Darboux integrability of a three–dimensional forced–damped differential system
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