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I am new to electronics and want to know what is resonance frequency splitting and how to derive the formulas to find those splitting.

I am a HS student looking into wireless energy transfer and came across this circuit so I've chosen it to be the base for my problem. While researching, I came across this post Why does frequency splitting happen when two resonant circuits are magnetically coupled in wireless power transfer?, which explains that the frequency splitting occurs from the transmitter and the receiver interfering with each other near the resonance frequency when k is high, but there were no equation that captures the frequency splitting that I can find for free so I needed help on the derivation of the equation describing the phenomena.

schematic

simulate this circuit – Schematic created using CircuitLab

Thanks.

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    \$\begingroup\$ I might be wrong, but being a high-school student you might be trying to bite more than what you would be able to chew. I’d suggest you start by looking at simple oscillators, if you feel comfortable with those equations then go into chaotic circuits, and then you would have a better grasp of the problem. This answer might provide a toehold into this area electronics.stackexchange.com/a/409928/202270 \$\endgroup\$ – Edgar Brown Feb 23 at 5:25

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