Identification of a Duffing oscillator under different types of excitation.
Implicit Differential Equations From the Singularity Theory Viewpoint
Implicit quasilinear differential systems: A geometrical approach.
Impulsive differential inclusions with constraints.
Impulsive periodic boundary value problem
In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation on a certain set that is established using properties of strict lower and upper functions of the boundary value problem.
Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems
In this paper the issue of impulsive stabilization and synchronization of uncertain financial hyperchaotic systems with parameters perturbation is investigated. Applying the impulsive control theory, some less conservative and easily verified criteria for the stabilization and synchronization of financial hyperchaotic systems are derived. The control gains and impulsive intervals can be variable. Moreover, the boundaries of the stable region are also estimated according to the equidistant impulse...
Increasing solutions of .
Increasing solutions of Thomas-Fermi type differential equations - the sublinear case
Indice d'un opérateur différentiel
Infinite cup length in free loop spaces with an application to a problem of the N-body type
Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries.
Initial value parameters corresponding to positive Green's functions
In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps.
Input-output systems in Biology and Chemistry and a class of mathematical models describing them
Our aim is to show a class of mathematical models in application to some problems of cell biology. Typically, our models are described via classical chemical networks. This property is visualized by a conservation law. Mathematically, this conservation law guarantees most of the mathematical properties of the models such as global existence and uniqueness of solutions as well as positivity of the solutions for positive data. These properties are consequences of the fact that the infinitesimal generators...
Instability of solutions of certain nonlinear vector differential equations of third order.
Integrability and limit cycles for Abel equations
Abel equations are among the most natural ordinary differential equations which have a Godbillon-Vey sequence of length 4. We show that the associated Poincaré mapping can be expressed by iterated integrals with three functions which are solutions of a system of partial differential equations.
Integrability of a linear center perturbed by a fifth degree homogeneous polynomial.
In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.
Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.
In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.
Integrability of blow-up solutions to some non-linear differential equations.
Integrable systems in the plane with center type linear part
We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.