46 citations
2 papers
nlin.CD2008★ 46 cited
Violation of hyperbolicity in a diffusive medium with local hyperbolic attractor
Pavel V. Kuptsov, Sergey P. Kuznetsov
Departing from a system of two non-autonomous amplitude equations, demonstrating hyperbolic chaotic dynamics, we construct a 1D medium as ensemble of such local elements introducin…
nlin.PS2007
Flow- and Diffusion Distributed Structures with noise at the inlet
Pavel V. Kuptsov, Razvan A. Satnoianu
Flow and Diffusion Distributed Structures (FDS) are stationary spatially periodic patterns that can be observed in reaction-diffusion-advection systems. These structures arise when…