Nonisotropic chaos induced by snap-back repellers and heteroclinic cycles of 3-D hyperbolic PDEs

作者：Xiang, Qiaomin; Zhu, Pengxian; Yang, Qigui^*; Park, Ju H.^*

来源：Nonlinear Dynamics, 2022, 108(4): 4399-4413.

DOI：10.1007/s11071-022-07369-8

• Chaos
• Heteroclinic cycle
• Snap-back repeller
• 3-D hyperbolic PDE
• Superlinear boundary condition

This paper mainly studies the nonisotropic chaos of a class of 3-D linear hyperbolic PDE systems with superlinear boundary conditions. Using the snapback repellers and heteroclinic cycles theories, the system with a linear and superlinear boundary condition is rigorously proved to be Devaney chaos, distributional chaos, and omega-chaos, and have positive entropy. The chaotic results are further extended to the system with two superlinear boundary conditions. Two examples illustrating the theoretical results are presented.

• 单位
  佛山科学技术学院