<p>Based on wave data recorded in 2020 from 10 buoy stations in the northern part of the South China Sea, the synergistic effects of wave parameters such as wave steepness, spectral width, kurtosis, skewness and Benjamin-Feir index (BFI) on a rogue wave group in the northern waters of the South China Sea were investigated. The frequency and energy distributions of three types of rogue waves were recognized based on wavelet transform. Chaotic dynamics was introduced to study the chaotic phenomena in the wave series where rogue wave were located. Results show that wave steepening enhanced the nonlinear effect of waves, and a narrow spectrum could suppress the dispersion effect, which increased the BFI, triggered the modulation instability of waves, and promoted the generation of distorted waves. When kurtosis&gt;3, the BFI increases as the degree of kurtosis deviation from the Gaussian distribution increases. In particular, when kurtosis&gt;3 and <i>H</i>/<i>H</i><sub>s</sub>&gt;2.2, the increase in kurtosis contributes significantly to the increase in the anomalous intensity of the rogue wave. Rogue waves induced by modulation instability and those induced by the superposition of wave clusters can be explained by phase and dispersion modulation as well as by energy distribution, whereas the generation mechanism of rogue waves that have not grown sufficiently is difficult to resolve from the time-domain waveform characteristics and the frequency-domain wavelet energy density. Qualitative analysis by the Poincaré cross section and quantitative analysis by the Lyapunov exponent verified that the nonlinear wave system, in which a rogue wave is located in the wave train, has weakly chaotic dynamic behavior.</p>

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Rogue waves in the northern part of the South China Sea: chaotic dynamics and multiparameter synergy determination

  • Tao Feng,
  • Tianyu Zhang,
  • Danchen Yan,
  • Hailong Wang,
  • Jian Yang,
  • Xun Lin,
  • Junping Zhang

摘要

Based on wave data recorded in 2020 from 10 buoy stations in the northern part of the South China Sea, the synergistic effects of wave parameters such as wave steepness, spectral width, kurtosis, skewness and Benjamin-Feir index (BFI) on a rogue wave group in the northern waters of the South China Sea were investigated. The frequency and energy distributions of three types of rogue waves were recognized based on wavelet transform. Chaotic dynamics was introduced to study the chaotic phenomena in the wave series where rogue wave were located. Results show that wave steepening enhanced the nonlinear effect of waves, and a narrow spectrum could suppress the dispersion effect, which increased the BFI, triggered the modulation instability of waves, and promoted the generation of distorted waves. When kurtosis>3, the BFI increases as the degree of kurtosis deviation from the Gaussian distribution increases. In particular, when kurtosis>3 and H/Hs>2.2, the increase in kurtosis contributes significantly to the increase in the anomalous intensity of the rogue wave. Rogue waves induced by modulation instability and those induced by the superposition of wave clusters can be explained by phase and dispersion modulation as well as by energy distribution, whereas the generation mechanism of rogue waves that have not grown sufficiently is difficult to resolve from the time-domain waveform characteristics and the frequency-domain wavelet energy density. Qualitative analysis by the Poincaré cross section and quantitative analysis by the Lyapunov exponent verified that the nonlinear wave system, in which a rogue wave is located in the wave train, has weakly chaotic dynamic behavior.