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Computation of periodic orbits in three-dimensional Lotka-Volterra systems
- Source :
- Mathematical Methods in the Applied Sciences. 40:7185-7200
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- This paper deals with an adaptation of the Poincare-Lindstedt method for the determination of periodic orbits in three-dimensional nonlinear differential systems. We describe here a general symbolic algorithm to implement the method and apply it to compute periodic solutions in a three-dimensional Lotka-Volterra system modeling a chain food interaction. The sufficient conditions to make secular terms disappear from the approximate series solution are given in the paper.
- Subjects :
- Series (mathematics)
General Mathematics
Computation
Mathematical analysis
General Engineering
Periodic sequence
010103 numerical & computational mathematics
Systems modeling
Symbolic computation
01 natural sciences
Poincaré–Lindstedt method
010101 applied mathematics
Nonlinear system
symbols.namesake
symbols
Periodic orbits
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........4745cdf13651c71068a93cbae06a89b3