Two-dimensional dynamical system associated with Abel’s nonlinear differential equation

DOI10.1063/1.529923zbMath0761.34028OpenAlexW1968412717WikidataQ115331187 ScholiaQ115331187MaRDI QIDQ3991693

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Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529923

zbMATH Keywords

bifurcationnumerical computationsAbel's nonlinear ODE of first kindtwo-dimensional dynamical system with a complex parameter

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Ordinary differential equations in the complex domain (34M99)

Related Items (14)

A numerical approach for solving generalized Abel-type nonlinear differential equations ⋮ Escape to infinity in the presence of magnetic fields ⋮ Dynamics of solitons in a damped sine-Hilbert equation ⋮ Transformation method for generating periodic solutions of Abel's differential equation ⋮ The integrability and existence of periodic solutions on a first-order nonlinear differential equation with a polynomial nonlinear term ⋮ Inaccessible States in Time‐Dependent Reaction Diffusion ⋮ Perturbed reversible systems ⋮ Finite-time blow-up in dynamical systems ⋮ The fixed point theory and the existence of the periodic solution on a nonlinear differential equation ⋮ Unbounded trajectories of dynamical systems. ⋮ Unnamed Item ⋮ The unique periodic solution of Abel's differential equation ⋮ Oscillatory finite-time singularities in finance, population and rupture ⋮ New method for generating general solution of Abel differential equation

Cites Work

• Kinks of the sine-Hilbert equation and their dynamical motions

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