Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions Academic Article uri icon

abstract

  • We study chaotic oscillations of solutions of a first order hyperbolic system in one-dimensional space, where the governing equation is linear but the boundary condition contains nonlinearity with nonlocal and possibly time-delay effects. The main thrust of the paper is the advancement of existing chaos theory to multicomponent hyperbolic PDEs that allows a unified treatment of a general class of nonlinear, nonlocal and time-delayed boundary conditions where components of waves travel with several different speeds. © 2014 World Scientific Publishing Company.

author list (cited authors)

  • Dai, X., Huang, T., Huang, Y. u., & Chen, G.

citation count

  • 3

publication date

  • May 2014