Periodic orbits in Hyperchaotic Chen systems
Copyright policy )Periodic orbits in Hyperchaotic Chen systems
In this work, we show a zero-Hopf bifurcation in a Hyperchaotic Chen system. Using averaging theory, we prove the existence of two periodic orbits bifurcating from the zero-Hopf equilibria located at the origin of the Hyperchaotic Chen system.
This research was supported by grant MTM2011-22877 from MICINN, and by grant 2014 SGR 1204 from CIRIT
- University of Lleida Spain
Averaging method for ordinary differential equations, Bifurcations of singular points in dynamical systems, zero-Hopf bifurcation averaging theory, Periodic orbit, Complex behavior and chaotic systems of ordinary differential equations, Bifurcations of limit cycles and periodic orbits in dynamical systems, Hyperchaotic Chen system, QA1-939, periodic orbit, hyperchaotic Chen system, averaging theory, Periodic solutions to ordinary differential equations, Zero-Hopf bifurcation averaging theory, Matemàtica, Mathematics, zero-Hopf bifurcation
Averaging method for ordinary differential equations, Bifurcations of singular points in dynamical systems, zero-Hopf bifurcation averaging theory, Periodic orbit, Complex behavior and chaotic systems of ordinary differential equations, Bifurcations of limit cycles and periodic orbits in dynamical systems, Hyperchaotic Chen system, QA1-939, periodic orbit, hyperchaotic Chen system, averaging theory, Periodic solutions to ordinary differential equations, Zero-Hopf bifurcation averaging theory, Matemàtica, Mathematics, zero-Hopf bifurcation
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