Dynamics and adaptive synchronization of the energy resource system. (English) Zbl 1149.34032

The authors introduce some nonlinear three-dimensional system of ordinary differential equations which is claimed to describe an energy resource system. For this system, apart from analysis of equilibria, they show the existence of chaotic orbits by computing Lyapunov exponents. Afterwards, a control scheme is suggested which allows to synchronize two such coupled systems.


34C60 Qualitative investigation and simulation of ordinary differential equation models
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34H05 Control problems involving ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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