Four-dimensional Zero-Hopf Bifurcation for a Lorenz-Haken System
Sonia Renteria, Pedro Suarez
TL;DR
This paper investigates the emergence of periodic orbits from zero-Hopf bifurcations in a four-dimensional Lorenz-Haken system using averaging theory, expanding understanding of complex dynamics in such systems.
Contribution
It provides a detailed analysis of zero-Hopf bifurcations in a 4D Lorenz-Haken system, applying averaging theory to identify bifurcating periodic orbits.
Findings
Identification of bifurcating periodic orbits from zero-Hopf points
Application of averaging theory to a Lorenz-Haken system in R4
Insights into complex dynamics near bifurcation points
Abstract
In this work we study the periodic orbits which bifurcate from a zero-Hopf bifurcations that a Lorenz-Haken system in R 4 can exhibit. The main tool used is the averaging theory.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Chaos control and synchronization · Quantum chaos and dynamical systems