# Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems

@article{Luo2015PeriodicFT, title={Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems}, author={Albert C. J. Luo}, journal={Int. J. Bifurc. Chaos}, year={2015}, volume={25} }

This paper presents a semi-analytical method for periodic flows in continuous nonlinear dynamical systems. For the semi-analytical approach, differential equations of nonlinear dynamical systems are discretized to obtain implicit maps, and a mapping structure based on the implicit maps is employed for a periodic flow. From mapping structures, periodic flows in nonlinear dynamical systems are predicted analytically and the corresponding stability and bifurcations of the periodic flows are… CONTINUE READING

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 26 CITATIONS

## Periodic flows analysis of a nonlinear power system based on discrete implicit mapping

VIEW 4 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

### FILTER CITATIONS BY YEAR

### CITATION STATISTICS

**1**Highly Influenced Citations

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 109 REFERENCES

## On Analytical Routes to Chaos in Nonlinear Systems

VIEW 3 EXCERPTS

## Analytical Routes to Chaos in Nonlinear Engineering

VIEW 2 EXCERPTS

## Toward Analytical Chaos in Nonlinear Systems

VIEW 2 EXCERPTS