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DOI Prefix 10.20431 |
Information
Journal Policies
International Journal of Scientific and Innovative Mathematical Research
Volume 7, Issue 1, 2019, Page No: 1-3
Linear Transformations on Two Dimensions Delays Differential Equations Preserving Dynamics
Lin Deng, Feng Zhang, Jinli Xu
Department of mathematics, Northeast Forestry University, Harbin, China.
Citation :Lin Deng, Feng Zhang, Jinli Xu, Linear Transformations on Two Dimensions Delays Differential Equations Preserving Dynamics International Journal of Scientific and Innovative Mathematical Research 2019 , 7(1) : 1-3.
Abstract
Let R be the real field. We consider the two dimension systems: x(t) = Ax(t) + Bx(t-τ) where A,B ∈ R 2X2 ,τ > 0, The characteristic polynomial of above system is det(λI - A - Be -λτ), we determine the form of linear map
Φ : R2X2 → R2X2 preserving the characteristic polynomial.
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