On non-linear differential equations of the second order. III: The equation \(\ddot y - k(1-y^2) \dot y +y=b \mu k\cos (\mu t + \alpha)\) for large \(k\), and its generalizations. IV: The general equation \(\ddot y + kf(y) \dot y +g(y)=bkp (\varphi),\;\va

DOI10.1007/BF02392400zbMath0081.08401WikidataQ115392316 ScholiaQ115392316MaRDI QIDQ769529

J. E. Littlewood

Publication date: 1957

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

nonlinear ordinary differential equations of second order

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34)

Related Items

Anti-periodic solutions of Liénard equations with state dependent impulses, Symmetry-breaking bifurcation analysis of stochastic van der Pol system via Chebyshev polynomial approximation, Existence of harmonic solutions for some generalisation of the non-autonomous Liénard equations, Invariant manifolds and global bifurcations, n:m phase-locking of weakly coupled oscillators, The pathology of differential equations, ON SOME MATHEMATICAL TOPICS IN CLASSICAL SYNCHRONIZATION.: A TUTORIAL, A global perspective for non-conservative dynamics, Periodic van der Pol equation with state dependent impulses, Time dependence of the solutions of van der Pol type equation with periodic forcing term, Symbolic dynamics and relaxation oscillations, Frequency Entrainment of a Forced van der Pol Oscillator, Parabolic bursting, spike-adding, dips and slices in a minimal model, Singular perturbations and a mapping on an interval for the forced van der Pol relaxation oscillator, The global bifurcation characteristics of the forced van der Pol oscillator.

Cites Work

• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term