Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation

Details Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation

2003-09-04

arxiv.org/abs/nlin/0309013v1

Nonlinear Sciences

Chaotic Dynamics

14 pages, 0 figures

Scientific paper

Different models of self-excited oscillators which are four-dimensional extensions of the van der Pol system are reported. Their symmetries are analyzed. Three of them were introduced to model the release of vortices behind circular cylinders with a possible transition from a symmetric to an antisymmetric Benard-von Karman vortex street. The fourth reported self-excited oscillator is a new model which implements the breaking of the inversion symmetry. It presents the phenomenon of second harmonic generation in a natural way. The parallelism with second harmonic generation in nonlinear optics is discussed. There is also a small region in the parameter space where the dynamics of this system is quasiperiodic or chaotic.

Affiliated with

Also associated with

No associations

Rating

Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry induced Dynamics in four-dimensional Models deriving from the van der Pol Equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57378