Results 1 to 10 of about 3,202,278 (248)

Polynomial differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations, 2020
Summary: For a given algebraic curve of degree \(n\), we exhibit differential systems of degree greater than or equal \(n\), by introducing functions which are solutions of certain partial differential equations. These systems admit precisely the bounded components of the curve as limit cycles.
Salah Benyoucef
openaire   +4 more sources

A family of planar differential systems with hyperbolic algebraic limit cycles

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than n + 1 , by presenting polynomial curves of degree
Maroua Ghelmi, Aziza Berbache
openaire   +3 more sources

Kolmogorov System with Explicit Hyperbolic Limit Cycle [PDF]

Journal of Siberian Federal University. Mathematics & Physics, 2017
Summary: A class of Kolmogorov differential system is introduced. We show that under suitable assumptions on parameters, an algebraic hyprbolic limit cycle can occur, the explicit expression of this limit cycle is given.
Benyoucef, Salah, Bendjeddou, Ahmed
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Studying Stability of a Non-linear Autoregressive Model [PDF]

مجلة التربية والعلم, 2018
In this paper we study the stability of one non-linear autoregressive model with hyperbolic triangle function polynomial with hyperbolic tangent function (singular point and it's stability conditions and the stability of the limit cycle) by using the ...
Anas Salim Youns, Abdul Ghafoor Jasim Salim   +1 more
doaj   +1 more source

Heterodimensional cycles, partial hyperbolicity and limit dynamics [PDF]

Fundamenta Mathematicae, 2002
A one-parametric family of diffeomorphisms is studied unfolding heteroclinic cycles. An open set of such arcs is constructed such that the resulting nonwandering set is the disjont union of two hyperbolic basis sets of different indices and a strong partially hyperbolic set which is robustly transitive.
Díaz, L. J., Rocha, J.
openaire   +1 more source

Study of Stability of Non-linear Model with Hyperbolic Secant Function [PDF]

مجلة التربية والعلم, 2019
We study a new definition of a non-linear model of time series with hyperbolic secant function in a discrete time. The suggested model consist of two parts the first part is (linear) and the second part is (non-linear) which contains the hyperbolic ...
Anas Salim Youns Youns, Abdul Salim
doaj   +1 more source

Stabilization of Stable Manifold of Upright Position of the Spherical Pendulum [PDF]

Modeling, Identification and Control, 2001
The stabilization problem of the upright position of the sherical pendulum is treated in detail. This problem is reduced to the stabilization of the stable manifold Omega_st of the upright position of the unforced spherical pendulum. It is shown that for
Hallgeir Ludvigsen, Anton Shiriaev, Olav Egeland   +2 more
doaj   +1 more source

Geometric tools to determine the hyperbolicity of limit cycles

Journal of Mathematical Analysis and Applications, 2007
In this paper we present a new method to study limit cycles’ hyperbolicity. The main tool is the function ? = ([V,W] ^ V )/(V ^W), where V is the vector field under investigation and W a transversal one. Our approach gives a high degree of freedom for choosing operators to study the stability.
Guillamon Grabolosa, Antoni, Sabatini, Marco   +1 more
openaire   +5 more sources

Coexistence of Multiple Points, Limit Cycles, and Strange Attractors in a Simple Autonomous Hyperjerk Circuit with Hyperbolic Sine Function [PDF]

Complexity, 2020
In this contribution, a new elegant hyperjerk system with three equilibria and hyperbolic sine nonlinearity is investigated. In contrast to other models of hyperjerk systems where either hidden or self-excited attractors are obtained, the case reported in this work represents a unique one which displays the coexistence of self-excited chaotic ...
M. Fouodji Tsotsop, Jacques Kengne, Godpromesse Kenné, Zeric Tabekoueng Njitacke   +3 more
openaire   +3 more sources

New approach to study the van der Pol equation for large damping

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We present a new approach to establish the existence of a unique limit cycle for the van der Pol equation in case of large damping. It is connected with the bifurcation of a stable hyperbolic limit cycle from a closed curve composed of two heteroclinic ...
Klaus Schneider
doaj   +1 more source