# Transient and Stable Chaos in Dipteran Flight Inspired Flapping Motion

##### Citations

3 citations

### Cites background from "Transient and Stable Chaos in Dipte..."

...A recent work [48] based on the fluid–structure interaction of flapping wing in forward flight with constant inflow in an inviscid fluid employed recurrence plots to understand the chaotic behaviour of the dynamic system....

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### Cites methods from "Transient and Stable Chaos in Dipte..."

...In the references [14,24,34,35], the dynamic performances of the flapping wing robot were also studied based on different dynamic models....

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...considered the structural model of a flapping flight as a linkage system, and established the dynamic model in the form of a Duffing oscillator, and used the lumped vortex method to calculate the aerodynamic force of the robot [14]....

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...From the results comparison in the references [11,14,24,34,35], the dynamic performances of the robot are different when different models are established....

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##### References

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### Additional excerpts

...[30], is a graphical representation of a symmetric binary square matrix (Ri, j) constructed by a binary mapping based on the criteria for recurrence depicted below for various values of i and j (different time instances), where both 0 5000 10000 15000 −1 −0....

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### "Transient and Stable Chaos in Dipte..." refers background in this paper

..., the distance between the two farthest points in the phase space [31]; the transition dynamics is captured well with this value....

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### "Transient and Stable Chaos in Dipte..." refers background in this paper

...In such situations, they are successively repelled by the unstable manifold and are attracted to the stable manifold of the saddle point many times in a chaotic manner before settling into a periodic orbit [19]....

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...There are several established routes to chaos [19]....

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