Balanced loss-gain induced chaos in a periodic Toda lattice
DOI10.1016/j.physleta.2023.129156arXiv2303.17639MaRDI QIDQ6068138
No author found.
Publication date: 10 November 2023
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.17639
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Three-body problems (70F07) Hamilton's equations (70H05) Quantum chaos (81Q50) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
- Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization
- A Toda lattice model for DNA: Thermally generated solitons
- Theory of nonlinear lattices.
- Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models
- Synchronization of two non-scalar-coupled limit-cycle oscillators
- Integrable coupled Liénard-type systems with balanced loss and gain
- Integrable oscillator type and Schrödinger type dimers
- Dimer with gain and loss: Integrability and ${\mathcal{P}}{\mathcal{T}}$-symmetry restoration
- A complete solution of the periodic Toda problem
- Solitons and Heat Conduction
- Integrals of the Toda lattice
- The Toda lattice. II. Existence of integrals
- Structure preserving noise and dissipation in the Toda lattice
- Shock waves in the dissipative Toda lattice
- Complex dynamical properties of coupled Van der Pol–Duffing oscillators with balanced loss and gain
- Taming Hamiltonian systems with balanced loss and gain via Lorentz interaction: general results and a case study with Landau Hamiltonian
- An exactly solvable $\mathcal {PT}$-symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss
- On regular and chaotic dynamics of a non- PT -symmetric Hamiltonian system of a coupled Duffing oscillator with balanced loss and gain
- Integrability and trajectory confinement in -symmetric waveguide arrays
- Nonlinear dynamics and fluctuations of dissipative Toda chains
- Non-linear Schrödinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
This page was built for publication: Balanced loss-gain induced chaos in a periodic Toda lattice
