Symmetry breaking in driven and strongly damped pendulum
arXiv:cond-mat/0409572 · doi:10.1103/PhysRevE.71.066206
Abstract
We examine the conditions for appearance of symmetry breaking bifurcation in damped and periodically driven pendulum in the case of strong damping. We show that symmetry breaking, unlike other nonlinear phenomena, can exist at high dissipation. We prove that symmetry breaking phases exist between phases of symmetric normal and symmetric inverted oscillations. We find that symmetry broken solutions occupy a sufficiently smaller region of pendulum's parameter space in comparison to the statements made in earlier considerations [McDonald and Plischke, Phys. Rev. B 27 (1983) 201]. Our research on symmetry breaking in a strongly damped pendulum is relevant to an understanding of phenomena of dynamic symmetry breaking and rectification in a pure ac driven semiconductor superlattices.
11 pages, 4 color figures, RevTeX4
References in corpus (5)
- Spontaneous DC Current Generation in a Resistively Shunted Semiconductor Superlattice Driven by a TeraHertz Field
- Dissipative Chaos in Semiconductor Superlattices
- Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices
- Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices
- The Crucial Formula for Determination of the Occurrence of the Non-Chaotic States in the rf-biased Nonlinear Oscillators
Cited by in corpus (6)
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- Numerical analysis of grasshopper escapement
- Rectification of THz-radiation in semiconductor superlattices in the absence of domains