This paper is devoted to investigating the existence of exact harmonic solutions and limit cycles of certain modified Emden-type equations. The exact and general solutions obtained are in opposition to the predictions of classic existence theorems.
Research Article
Modified Emden type Oscillator Equations with Exact Harmonic Solutions
https://doi.org/10.21203/rs.3.rs-1768913/v2
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This paper is devoted to investigating the existence of exact harmonic solutions and limit cycles of certain modified Emden-type equations. The exact and general solutions obtained are in opposition to the predictions of classic existence theorems.
Modified Emden-type equations
exact and harmonic solution
conservative nonlinear oscillator
algebraic limit cycles
existence theorem
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