title: Chaotic Rossler Oscillator with Controlled Stimulus Phase
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, Alexander Petrovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sedova, Yuliya Viktorovna
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stankevich, Nataliya Vladimirovna
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-12-02T13:04:43Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-12-02T13:04:43Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2024.105
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/48040
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The dynamics of the chaotic Rossler with external force the phase of which depends on the state of the system is investigated. The study was carried out with the method of charts of Lyapunov exponents that identify areas of different types of dynamics on the plane frequency - amplitude of the external force. Their transformation is discussed with an increase in the parameter responsible for the dependence of the phase on the dynamical variable. The possibility of quasi-periodic dynamics with the set of Arnold tongues was demonstrated. It is shown that with a strong dependence of the phase on the variable of the oscillator, a picture of regular tongues of periodic regimes embedded into the region of chaotic dynamics is formed. Tongues have a threshold in the value of the amplitude of external force. Inside the tongues there are several period-doubling bifurcations of the limit cycles and quasi-periodic dynamics are possible.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation, project 21-12-00121, https://rscf.ru/en/project/21-12-00121/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: phase
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chaos
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hyperchaos
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quasi-periodicity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Chaotic Rossler Oscillator with Controlled Stimulus Phase
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24105-jdecp-stankevich.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/48040/1/24105-jdecp-stankevich.pdf
resources.format: Adobe PDF
resources.size: 1,05 MB