대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권1호
  • /
  • Pages.257-279
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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STABILITY OF BIFURCATING STATIONARY PERIODIC SOLUTIONS OF THE GENERALIZED SWIFT-HOHENBERG EQUATION

  • Soyeun, Jung (Division of International Studies Kongju National University)
  • 투고 : 2022.02.11
  • 심사 : 2022.05.04
  • 발행 : 2023.01.31
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초록

Applying the Lyapunov-Schmidt reduction, we consider spectral stability of small amplitude stationary periodic solutions bifurcating from an equilibrium of the generalized Swift-Hohenberg equation. We follow the mathematical framework developed in [15, 16, 19, 23] to construct such periodic solutions and to determine regions in the parameter space for which they are stable by investigating the movement of the spectrum near zero as parameters vary.

키워드

과제정보

This work was financially supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (No. 2022R1F1A1074414).

참고문헌

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