Poincare-Bendixson Theorem to prove existence of a nontrivial periodic solution











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Use the Poincare-Bendixson Theorem to prove the existence of a nontrivial periodic solution of the following DE: $z'' + (z^2 + (z')^4 - 2)z = 0$






differential-equations







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    Use the Poincare-Bendixson Theorem to prove the existence of a nontrivial periodic solution of the following DE: $z'' + (z^2 + (z')^4 - 2)z = 0$






    differential-equations







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      Use the Poincare-Bendixson Theorem to prove the existence of a nontrivial periodic solution of the following DE: $z'' + (z^2 + (z')^4 - 2)z = 0$






      differential-equations







      share|cite|improve this question







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      Use the Poincare-Bendixson Theorem to prove the existence of a nontrivial periodic solution of the following DE: $z'' + (z^2 + (z')^4 - 2)z = 0$






      differential-equations




      differential-equations






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