Relaxed Monotonic Conditions for Schur Stability of Real Polynomials

2007 ◽  
Vol E90-A (10) ◽  
pp. 2326-2328 ◽  
Author(s):  
T. V. NGUYEN ◽  
Y. MORI ◽  
T. MORI
Keyword(s):  
Real Polynomials ◽  
Schur Stability

scholarly journals The Stability Criteria with Compound Matrices

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Yazhuo Zhang ◽  
Baodong Zheng
Keyword(s):  
Dynamical Systems ◽  
Spectral Property ◽  
Discrete Dynamical Systems ◽  
Asymptotical Stability ◽  
Hopf Bifurcations ◽  
Stability Criteria ◽  
Bifurcation Problem ◽  
Compound Matrices ◽  
The Stability ◽  
Schur Stability

The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems.

scholarly journals On realizability of sign patterns by real polynomials

2018 ◽  
Vol 68 (3) ◽  
pp. 853-874 ◽  
Author(s):  
Vladimir Kostov
Keyword(s):  
Real Polynomials ◽  
Sign Patterns

Counting Critical Points of Real Polynomials in Two Variables

1993 ◽  
Vol 100 (3) ◽  
pp. 255 ◽  
Author(s):  
Alan Durfee ◽  
Nathan Kronefeld ◽  
Heidi Munson ◽  
Jeff Roy ◽  
Ina Westby
Keyword(s):  
Critical Points ◽  
Real Polynomials

On Newton's Inequality for Real Polynomials

1969 ◽  
Vol 76 (8) ◽  
pp. 905-909 ◽  
Author(s):  
J. N. Whiteley
Keyword(s):  
Real Polynomials
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