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On inhomogeneous nonholonomic Bilimovich system. / Borisov, A.V. ; Tsiganov, A.V. ; Mikishanina, E.A. .

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 94, 105573, 03.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Borisov, AV, Tsiganov, AV & Mikishanina, EA 2021, 'On inhomogeneous nonholonomic Bilimovich system', Communications in Nonlinear Science and Numerical Simulation, vol. 94, 105573. https://doi.org/10.1016/j.cnsns.2020.105573

APA

Borisov, A. V., Tsiganov, A. V., & Mikishanina, E. A. (2021). On inhomogeneous nonholonomic Bilimovich system. Communications in Nonlinear Science and Numerical Simulation, 94, [105573]. https://doi.org/10.1016/j.cnsns.2020.105573

Vancouver

Borisov AV, Tsiganov AV, Mikishanina EA. On inhomogeneous nonholonomic Bilimovich system. Communications in Nonlinear Science and Numerical Simulation. 2021 Mar;94. 105573. https://doi.org/10.1016/j.cnsns.2020.105573

Author

Borisov, A.V. ; Tsiganov, A.V. ; Mikishanina, E.A. . / On inhomogeneous nonholonomic Bilimovich system. In: Communications in Nonlinear Science and Numerical Simulation. 2021 ; Vol. 94.

BibTeX

@article{fa275530913b4eeda04df15eb54a2522,
title = "On inhomogeneous nonholonomic Bilimovich system",
abstract = "We consider a simple motivating example of a non-Hamiltonian dynamical system with time-dependent constraints obtained by imposing rheonomic non-integrable Bilimovich{\textquoteright}s constraint on a freely rotating rigid body. Dynamics of this low-dimensional nonlinear nonautonomous dynamic system involves different kinds of stable and unstable attractors, quasi and strange attractors, compact and noncompact invariant attractive curves, etc. To study this cautionary example we apply the Poincar{\'e} map method to disambiguate and discover multiscale temporal dynamics, specifically the coarse-grained dynamics resulting from fast-scale nonlinear control via nonholonomic Bilimovich{\textquoteright}s constraint.",
keywords = "Time-dependent non-Hamiltonian system, Poincar{\'e} maps, Poincare maps, EQUATIONS, DYNAMICS",
author = "A.V. Borisov and A.V. Tsiganov and E.A. Mikishanina",
note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",
year = "2021",
month = mar,
doi = "10.1016/j.cnsns.2020.105573",
language = "English",
volume = "94",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On inhomogeneous nonholonomic Bilimovich system

AU - Borisov, A.V.

AU - Tsiganov, A.V.

AU - Mikishanina, E.A.

N1 - Publisher Copyright: © 2020 Elsevier B.V.

PY - 2021/3

Y1 - 2021/3

N2 - We consider a simple motivating example of a non-Hamiltonian dynamical system with time-dependent constraints obtained by imposing rheonomic non-integrable Bilimovich’s constraint on a freely rotating rigid body. Dynamics of this low-dimensional nonlinear nonautonomous dynamic system involves different kinds of stable and unstable attractors, quasi and strange attractors, compact and noncompact invariant attractive curves, etc. To study this cautionary example we apply the Poincaré map method to disambiguate and discover multiscale temporal dynamics, specifically the coarse-grained dynamics resulting from fast-scale nonlinear control via nonholonomic Bilimovich’s constraint.

AB - We consider a simple motivating example of a non-Hamiltonian dynamical system with time-dependent constraints obtained by imposing rheonomic non-integrable Bilimovich’s constraint on a freely rotating rigid body. Dynamics of this low-dimensional nonlinear nonautonomous dynamic system involves different kinds of stable and unstable attractors, quasi and strange attractors, compact and noncompact invariant attractive curves, etc. To study this cautionary example we apply the Poincaré map method to disambiguate and discover multiscale temporal dynamics, specifically the coarse-grained dynamics resulting from fast-scale nonlinear control via nonholonomic Bilimovich’s constraint.

KW - Time-dependent non-Hamiltonian system

KW - Poincaré maps

KW - Poincare maps

KW - EQUATIONS

KW - DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85093643468&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3e499899-7a0a-379a-9137-42e91aa5ff06/

U2 - 10.1016/j.cnsns.2020.105573

DO - 10.1016/j.cnsns.2020.105573

M3 - Article

VL - 94

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 105573

ER -

ID: 70165864