On ``relaxation-oscillations.

zbMATH Open52.0450.05MaRDI QIDQ1450922

B. van der Pool

Publication date: 1926

Published in: The Philosophical Magazine, VII. Series (Search for Journal in Brave)

Related Items (27)

Exact potentials in multivariate Langevin equations ⋮ Periodic second-order systems and coupled forced Van der Pol oscillators ⋮ On the applicability of describing function method ⋮ Bifurcations for homoclinic networks in two-dimensional polynomial systems ⋮ Four limit cycles of three-dimensional discontinuous piecewise differential systems having a sphere as switching manifold ⋮ The extended 16th Hilbert problem for discontinuous piecewise systems formed by linear centers and linear Hamiltonian saddles separated by a nonregular line ⋮ Limit cycles and homoclinic networks in two-dimensional polynomial systems ⋮ Interpretable polynomial neural ordinary differential equations ⋮ An extension of the 16th Hilbert problem for continuous piecewise linear-quadratic centers separated by a non-regular line ⋮ Relaxation oscillation in planar discontinuous piecewise smooth fast-slow systems ⋮ Knowledge-based learning of nonlinear dynamics and chaos ⋮ Global solvability and oscillation criteria for a class of second order nonlinear ordinary differential equations, containing some important classical models ⋮ Synchronization and bifurcation in an economic model ⋮ Symmetry-breaking rhythms in coupled, identical fast-slow oscillators ⋮ A Levenberg-Marquardt method for nonsmooth regularized least squares ⋮ Frenetic steering: nonequilibrium-enabled navigation ⋮ A necessary and sufficient condition on algebraic limit cycles of a hybrid van der Pol-Rayleigh oscillator ⋮ Levinson-Smith dissipative equations and geometry of GENERIC formalism and contact Hamiltonian mechanics ⋮ A heteroclinic surface between two saddle slow manifolds organizing sectors of rotation of mixed-mode oscillations ⋮ Calculation of the invariant decomposition of the tangent space ⋮ Computer-algebraic approach to first differential approximations: Van der Pol oscillator ⋮ Rigorous computation in dynamics based on topological methods for multivector fields ⋮ Limit cycles of piecewise smooth differential systems of the type nonlinear centre and saddle ⋮ Algebraic design of physical computing system ⋮ Nonlinear system identification via sparse Bayesian regression based on collaborative neurodynamic optimization ⋮ From Abel's differential equations to Hilbert's 16th problem ⋮ Optimal synchronization to a limit cycle

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