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

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.

authors

• Chen, Goong
• Huang, Tingwen

published proceedings

• INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

author list (cited authors)

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

citation count

• 4

complete list of authors

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

publication date

• May 2014

publisher

• World Scientific Publishing  Publisher

published in

• International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  Journal

keywords

• Chaotic Oscillation
• Geometric Horseshoe
• Hyperbolic System
• Lyapunov Exponent
• Rapid Fluctuation

Digital Object Identifier (DOI)

• 10.1142/S0218127414500722

start page

• 1450072

end page

• 1450072

volume

• 24

issue

• 5

URL

• http://dx.doi.org/10.1142/s0218127414500722