1. Balanced loss-gain induced chaos in a periodic Toda lattice.
- Author
-
Roy, Puspendu and Ghosh, Pijush K.
- Subjects
- *
HAMILTONIAN systems , *CHAOS theory , *COUPLING constants , *VELOCITY - Abstract
We consider equal-mass periodic Toda oscillators with balanced loss-gain for two and three particles. The two-particle system is integrable. The three-particle equal-mass periodic Toda lattice is considered in presence of balanced loss-gain and velocity mediated coupling. The system is Hamiltonian for specific values of the coupling constants. The generalized momentum is the second integral of motion and study of Poincaré section indicates its integrability in certain region of the parameter-space. The generic model admits both non-chaotic and chaotic solutions. The chaos in the system with vanishing velocity mediated coupling is solely induced due to the presence of balanced loss-gain, since undriven equal-mass Toda lattice is non-chaotic. The chaotic behavior is studied in detail for the generic system. • An integrable two particle Toda Lattice with balanced loss-gain is presented. • Balanced loss-gain induced chaos is shown to exist in a 3-particle Toda Lattice. • The 3-particle Toda lattice is Hamiltonian under certain conditions. • Detailed numerical investigations on the regular and chaotic dynamics are presented. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF