Chaotic behavior of interval maps and total variations of iterates
Interval maps reveal precious information about the chaotic behavior of general nonlinear
systems. If an interval map f: I→ I is chaotic, then its iterates fn will display heightened …
systems. If an interval map f: I→ I is chaotic, then its iterates fn will display heightened …
Growth rates of total variations of snapshots of the 1D linear wave equation with composite nonlinear boundary reflection relations
Y Huang - International Journal of Bifurcation and Chaos, 2003 - World Scientific
The linear wave equation on an interval with a van der Pol nonlinear boundary condition at
one end and an energy-pum** condition at the other end is a useful model for studying …
one end and an energy-pum** condition at the other end is a useful model for studying …
Analyzing displacement term's memory effect in a Van der Pol type boundary condition to prove chaotic vibration of the wave equation
Consider the one-dimensional wave equation on a unit interval, where the left-end boundary
condition is linear, pum** energy into the system, while the right-end boundary condition …
condition is linear, pum** energy into the system, while the right-end boundary condition …
Boundary feedback anticontrol of spatiotemporal chaos for 1D hyperbolic dynamical systems
Y Huang - International Journal of Bifurcation and Chaos, 2004 - World Scientific
In this paper, boundary anticontrol of spatiotemporal chaos for 1D hyperbolic equations is
studied. Firstly, a new definition of chaotic vibrations for PDEs is given in terms of the growth …
studied. Firstly, a new definition of chaotic vibrations for PDEs is given in terms of the growth …