# Symmetry breaking in a driven and strongly damped pendulum.

@article{Isohtl2005SymmetryBI, title={Symmetry breaking in a driven and strongly damped pendulum.}, author={Jukka Isoh{\"a}t{\"a}l{\"a} and Kirill N. Alekseev and Lauri Kurki and Pekka Pietil{\"a}inen}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2005}, volume={71 6 Pt 2}, pages={ 066206 } }

We examine the conditions for appearance of a symmetry breaking bifurcation in damped and periodically driven pendulums 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 smaller region of the pendulum's parameter space in comparison to the statements made…

## 10 Citations

### Stability properties of periodically driven overdamped pendula and their implications to physics of semiconductor superlattices and Josephson junctions.

- PhysicsChaos
- 2010

It is shown how the knowledge of bifurcations in the overdamped pendulum model can be utilized to describe the effects of rectification and amplification of electric fields in these microstructures.

### Overdamped non-contact rectifiers

- EngineeringInternational Journal of Modern Physics B
- 2018

We study the dynamics of overdamped systems in a symmetric periodic potential against an external load. Using numerical and analytical methods, we show that a symmetric driving signal cannot rectify…

### Microscopic dynamics of synchronization in driven colloids

- PhysicsNature communications
- 2015

The results indicate that understanding the intricate link between emergent behaviour and microscopic dynamics is key to controlling synchronization, and it is demonstrated that an emergent density wave in a static colloidal chain mode locks as a quasi-particle, with microscopic dynamics analogous to those seen for a single particle.

### Numerical analysis of grasshopper escapement.

- PhysicsPhysical review. E
- 2021

The dynamics of a driven, damped pendulum as used in mechanical clocks and the unusual properties of Harrison's grasshopper escapement are explored, giving some insights regarding the dynamics of this system.

### Rectification of terahertz radiation in semiconductor superlattices in the absence of domains

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2012

It is shown that by applying a weak direct current bias the rectifier can be switched from a state with zero DC voltage to one with a finite voltage in full absence of domains, which allows for the generation of DC voltages that would otherwise be unreachable due to domain instabilities.

### Generation of unipolar pulses during interaction between electromagnetic radiation and a lateral semiconductor superlattice

- Physics
- 2006

We theoretically predict the effect of generation of unipolar electromagnetic pulses during interaction between intense terahertz electromagnetic radiation and quantum lateral semiconductor…

## References

SHOWING 1-9 OF 9 REFERENCES

### Nonlinear Physics: From the Pendulum to Turbulence and Chaos

- Physics
- 1988

Part 1 Particles: the elements of dynamics - phase space, systems with one degree of freedom, an example - the nonlinear pendulum, two more examples of nonlinear oscillations, Poincare's integral…

### Nonlinear dynamics in solids

- Physics
- 1992

Dynamical Structures: Formation, Symmetry, Stability.- Deterministic Chaos: Introduction and Recent Results.- Current Instabilities in Semiconductors: Mechanisms and Self-organized Structures.-…

### Dynamics of Josephson Junctions and Circuits

- Physics
- 1986

This monograph offers a detailed description of the statistics, dynamics and statics of Josephson junctions. Particular emphasis is placed on the dynamics of new circuits and analog and digital…

### Europhys

- Lett. 56, 842
- 2001

### This might be explained observing that technique used in [13] to detect symmetry broken trajectories at strong damping can not in fact distinguish symmetric inverted and instant asymmetric solutions

### Meccanica 15

- 9
- 1980

### Physica D 31

- 252
- 1988

### and F

- V. Kusmartsev
- 2001