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.

published proceedings

  • INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

author list (cited authors)

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

citation count

  • 5

complete list of authors

  • Dai, Xiongping||Huang, Tingwen||Huang, Yu||Chen, Goong

publication date

  • May 2014