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The Rabinovich–Fabrikant equations form a set of coupled, nonlinear, first-order differential equations given by: ... , ... , ... . This Demonstration lets you explore the solutions to this system. The system parameters, ... and ... , are modified in this Demonstration by adding a parameter scaling factor ... . By varying these system parameters as well as ... the parameter scaling factor and the initial positions ... , interesting dynamical events, including chaotic motion, periodic motion, limit cycles, and attractors can be observed in the generated trajectories. These trajectories can be viewed either in three-dimensional space or as projections in two-dimensional planes by changing the plot style. The plot in three dimensions is colored using a gradient in the ... direction.
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