PERIODIC SOLUTIONS AND BIFURCATIONS OF FIRST-ORDER PERIODIC IMPULSIVE DIFFERENTIAL EQUATIONS

DOI10.1142/S0218127409024281zbMath1175.34054OpenAlexW2065095170MaRDI QIDQ3647682

Zhaoping Hu, Mao'an Han

Publication date: 23 November 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127409024281

zbMATH Keywords

stabilitybifurcationperiodic solutionPoincaré mapperiodic impulsive differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Stability in the critical case and bifurcations in impulsive systems ⋮ Periodic solutions for an impulsive system of integro-differential equations with maxima ⋮ Poincaré map and periodic solutions of first-order impulsive differential equations on Moebius stripe ⋮ Periodic solutions of second order impulsive system for an integro-differential equations with maxima ⋮ Modeling the dynamics of a single-species model with pollution treatment in a polluted environment ⋮ The standard Sharkovsky cycle coexistence theorem applies to impulsive differential equations: Some notes and beyond

Cites Work

• Impulsive periodic boundary value problems of first-order differential equations
• Stability criteria for impulsive differential equations in terms of two measures
• Basic theory for nonresonance impulsive periodic problems of first order
• Periodic boundary value problems for first-order impulsive ordinary differential equations
• Nonlinear boundary value problems for first order impulsive integro-differential equations
• Unnamed Item

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