TY - GEN

T1 - Algebraic and radical potential fields. Stability domains in coordinate and parametric space

AU - Утешев, Алексей Юрьевич

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - A dynamical system d X/d t = F(X; A) is treated where F(X; A) is a polynomial (or some general type of radical contained) function in the vectors of state variables X ϵ ℝ n and parameters A ϵ ℝ m. We are looking for stability domains in both spaces, i.e. (a) domain ℙ ⊂ ℝ m such that for any parameter vector specialization A ϵ ℙ, there exists a stable equilibrium for the dynamical system, and (b) domain ⊂ ℝ n such that any point X ∗ ϵ could be made a stable equilibrium by a suitable specialization of the parameter vector A.

AB - A dynamical system d X/d t = F(X; A) is treated where F(X; A) is a polynomial (or some general type of radical contained) function in the vectors of state variables X ϵ ℝ n and parameters A ϵ ℝ m. We are looking for stability domains in both spaces, i.e. (a) domain ℙ ⊂ ℝ m such that for any parameter vector specialization A ϵ ℙ, there exists a stable equilibrium for the dynamical system, and (b) domain ⊂ ℝ n such that any point X ∗ ϵ could be made a stable equilibrium by a suitable specialization of the parameter vector A.

UR - http://www.scopus.com/inward/record.url?scp=85047213337&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/algebraic-radical-potential-fields-stability-domains-coordinate-parametric-space

U2 - https://doi.org/10.1063/1.5034738

DO - https://doi.org/10.1063/1.5034738

M3 - Conference contribution

SN - 9780735416604

VL - 1959

T3 - AIP Conference Proceedings

BT - 8th Polyakhov's Reading

A2 - Kustova, Elena

A2 - Leonov, Gennady

A2 - Morosov, Nikita

A2 - Yushkov, Mikhail

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -