Liapunov-type inequality for delay-differential equations of third order
A Liapunov-type inequality for a class of third order delay-differential equations is derived.
Liapunov-type integral inequalities for certain higher-order differential equations.
Lidstone continuous and discrete boundary value problems.
Lie systems: theory, generalisations, and applications [Book]
Liénard type -Laplacian neutral Rayleigh equation with a deviating argument.
Liens entre équations différentielles stochastiques et ordinaires
Lie-point symmetries in bifurcation problems
Limit and integral properties of principal solutions for half-linear differential equations
Some asymptotic properties of principal solutions of the half-linear differential equation
Limit behavior of solutions of ordinary linear differential equations.
Limit Circle Results for Second Order Equations.
Limit cycle for the Brusselator by He's variational method.
Limit cycles for a class of polynomial systems and applications.
Limit cycles for vector fields with homogeneous components
We study planar polynomial differential equations with homogeneous components. This kind of equations present a simple and well known dynamics when the degrees (n and m) of both components coincide. Here we consider the case and we show that the dynamics is more complicated. In fact, we prove that such systems can exhibit periodic orbits only when nm is odd. Furthermore, for nm odd we give examples of such differential equations with at least (n+m)/2 limit cycles.
Limit cycles in a Kolmogorov-type model.
Limit cycles in the equation of whirling pendulum with autonomous perturbation
The two-parameter Hamiltonian system with the autonomous perturbation is considered. Via the Mel’nikov method, existence and uniqueness of a limit cycle of the system in a certain region of a two-dimensional space of parameters is proved.
Limit cycles in the Holling-Tanner model.
This paper deals with the following question: does the asymptotic stability of the positive equilibrium of the Holling-Tanner model imply it is also globally stable? We will show that the answer to this question is negative. The main tool we use is the computation of Poincaré-Lyapunov constants in case a weak focus occurs. In this way we are able to construct an example with two limit cycles.
Limit cycles of a class of Hilbert's sixteenth problem presented by fractional differential equations.
Limit Cycles of Perturbations of a Class of Quadratic Hamiltonian Vector Fields
We prove that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one center there can appear at most two limit cycles. This bound is exact.
Limit properties of solutions of singular second-order differential equations.
Limiting phase trajectories and resonance energy transfer in a system of two coupled oscillators.