Multichain-type solutions for Hamiltonian systems.
Multi-dimensional Cartan prolongation and special k-flags
Since the mid-nineties it has gradually become understood that the Cartan prolongation of rank 2 distributions is a key operation leading locally, when applied many times, to all so-called Goursat distributions. That is those, whose derived flag of consecutive Lie squares is a 1-flag (growing in ranks always by 1). We first observe that successive generalized Cartan prolongations (gCp) of rank k + 1 distributions lead locally to all special k-flags: rank k + 1 distributions D with the derived...
Multi-parameter symmetries of first order ordinary differential equations.
Multiple global bifurcation branches for nonlinear Picard problems.
Multiple periodic solutions for Hamiltonian systems with singular potential
In this Note we prove the existence of infinitely many periodic solutions of prescribed period for a Hamiltonian system with a singular potential.
Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem.
Multiple periodic solutions to a suspension bridge O. D. E.
Multiple positive periodic solutions to a non-autonomous Lotka-Volterra predator-prey system with harvesting terms.
Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
The fourth order periodic boundary value problem , 0 < t < 2π, with , i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of .
Multiple solutions for a nonlinear second order differential equation
Multiple solutions for nonlinear periodic problems with discontinuities
In this paper we consider a periodic problem driven by the one dimensional -Laplacian and with a discontinuous right hand side. We pass to a multivalued problem, by filling in the gaps at the discontinuity points. Then for the multivalued problem, using the nonsmooth critical point theory, we establish the existence of at least three distinct periodic solutions.
Multiple solutions of a third order boundary value problem
Multiple solutions of nonlinear boundary value problems for equations with critical points
Multiple-scale analysis for Painlevé transcendents with a large parameter
Multiplicity of forced oscillations for scalar differential equations.
Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
We prove the existence of infinitely many geometrically distinct homoclinic orbits for a class of asymptotically periodic second order Hamiltonian systems.
Multiplicity of periodic solution with prescribed energy to singular dynamical systems
Multiplicity results using bifurcation techniques for a class of fourth-order -point boundary value problems.
Multitransition kinks and pulses for fourth order equations with a bistable nonlinearity
Multi-type synchronization of impulsive coupled oscillators via topology degree
The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating periodic solutions...