Show simple item record

contributor authorStankevich, Nataliya V.
contributor authorShchegoleva, Natalya A.
contributor authorSataev, Igor R.
contributor authorKuznetsov, Alexander P.
date accessioned2022-02-04T21:55:16Z
date available2022-02-04T21:55:16Z
date copyright8/26/2020 12:00:00 AM
date issued2020
identifier issn1555-1415
identifier othercnd_015_12_121002.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4274535
description abstractUsing an example a system of two coupled generators of quasi-periodic oscillations, we study the occurrence of chaotic dynamics with one positive, two zero, and several negative Lyapunov exponents. It is shown that such dynamic arises as a result of a sequence of bifurcations of two-frequency torus doubling and involves saddle tori occurring at their doublings. This transition is associated with typical structure of parameter plane, like cross-road area and shrimp-shaped structures, based on the two-frequency quasi-periodic dynamics. Using double Poincaré section, we have shown destruction of three-frequency torus.
publisherThe American Society of Mechanical Engineers (ASME)
titleThree-Dimensional Torus Breakdown and Chaos With Two Zero Lyapunov Exponents in Coupled Radio-Physical Generators
typeJournal Paper
journal volume15
journal issue11
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4048025
journal fristpage0111001-1
journal lastpage0111001-12
page12
treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 011
contenttypeFulltext


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record