Dynamics and bifurcations in a \(\mathbb{D}_n\)-symmetric Hamiltonian network. application to coupled gyroscopes
From MaRDI portal
Publication:2356760
DOI10.1016/j.physd.2014.09.004zbMath1364.70014OpenAlexW1997277490MaRDI QIDQ2356760
Antonio Palacios, Bernard S. Chan, Visarath In, Pietro-Luciano Buono
Publication date: 6 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2014.09.004
Bifurcation theory for ordinary differential equations (34C23) Hamilton's equations (70H05) Large-scale systems (93A15) Motion of the gyroscope (70E05) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (6)
Model containing coupled subsystems with oscillations of different types ⋮ Symmetry-Breaking Bifurcations and Patterns of Oscillations in Rings of Crystal Oscillators ⋮ Gradient and Hamiltonian coupled systems on undirected networks ⋮ Stabilization of oscillations in a coupled periodic system ⋮ Topology and bifurcations in Hamiltonian coupled cell systems ⋮ Stabilization of oscillations in a periodic system by choosing appropriate couplings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singularities and groups in bifurcation theory. Volume II
- Singularity theory and equivariant symplectic maps
- The symmetry perspective. From equilibrium to chaos in phase space and physical space
- A modular network for legged locomotion.
- A drive-free vibratory gyroscope
- COLLECTIVE BEHAVIOR OF A COUPLED GYROSCOPE SYSTEM WITH COUPLING ALONG THE DRIVING- AND SENSING-MODES
- Topology and bifurcations in Hamiltonian coupled cell systems
- Existence of nonlinear normal modes of symmetric Hamiltonian systems
- Coupled cells with internal symmetry: II. Direct products
- Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
This page was built for publication: Dynamics and bifurcations in a \(\mathbb{D}_n\)-symmetric Hamiltonian network. application to coupled gyroscopes
