Stability of planar nonautonomous dynamic systems

DOI10.1186/1687-1847-2013-144zbMath1390.34174OpenAlexW2107897678WikidataQ59304865 ScholiaQ59304865MaRDI QIDQ1648697

G. R. Hovhannisyan

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-144

zbMATH Keywords

stabilityLyapunov functionasymptotic solutionsasymptotic stabilitycharacteristic functionenergy functionnonautonomous dynamic systemattractivity to the origin

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Cites Work

• Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics
• Asymptotic stability and asymptotic solutions of second-order differential equations
• Attractivity of the origin for the equation \(\ddot x+f(t,x,\dot x)|\dot x|^\alpha x+g(x)=0\)
• Asymptotic behavior of solutions of a nonstandard second order differential equation
• Precise damping conditions for global asymptotic stability for nonlinear second order systems
• ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
• On stability of linear time-varying second-order differential equations
• On nonautonomous Dirac equation
• On the asymptotic stability of oscillators with unbounded damping
• Integral conditions on the asymptotic stability for the damped linear oscillator with small damping
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