论文信息 - Chaos in the one-dimensional wave equation

Chaos in the one-dimensional wave equation

This paper deals with the chaotic behavior of the solutions of a mixed problem for the one-dimensional wave equation with a quadratic boundary condition. This behavior is studied through the connection between the energy function and quadratic discrete dynamical systems.

Francisco J. Solis | Benito M. Chen-Charpentier | Lucas Jódar

[1] Lewi Stone,et al. Period-doubling reversals and chaos in simple ecological models , 1993, Nature.

[2] R. Devaney. An Introduction to Chaotic Dynamical Systems , 1990 .

[3] Guanrong Chen,et al. Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis , 1998 .

[4] J. Douglas Faires,et al. Numerical Analysis , 1981 .

[5] R M May,et al. Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos , 1974, Science.

[6] J. Miller. Numerical Analysis , 1966, Nature.

[7] Michael S. Gaines,et al. Biological Populations with Nonoverlapping Generations : Stable Points , Stable Cycles , and Chaos , 2007 .

[8] Sze-Bi Hsu,et al. Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition. , 1998 .