title: Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source.
abstract: We outline a possibility of hyperbolic chaotic dynamics associated with the expanding circle map for spatial phases of parametrically excited standing wave patterns. The model system is governed by a one-dimensional wave equation with nonlinear dissipation. The phenomenon arises due to the pump modulation providing the alternating excitation of modes with the ratio of characteristic scales 1:3.
authors.affiliation: Kotel'nikov's Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov 410019, Russian Federation.
authors.forename: Olga B
authors.initials: OB
authors.lastname: Isaeva
authors.forename: Alexey S
authors.initials: AS
authors.lastname: Kuznetsov
authors.forename: Sergey P
authors.initials: SP
authors.lastname: Kuznetsov