نتایج جستجو برای: codimension of bifurcation

تعداد نتایج: 21166601  

Journal: :iranian journal of science and technology (sciences) 2014
r. khoshsiar ghaziani

this paper investigates the dynamics and stability properties of a discrete-time lotka-volterra type system. we first analyze stability of the fixed points and the existence of local bifurcations. our analysis shows the presence of rich variety of local bifurcations, namely, stable fixed points; in which population numbers remain constant, periodic cycles; in which population numbers oscillate amo...

ژورنال: پژوهش های ریاضی 2018
Ahanjideh, Neda, Khoshsiar, Reza, Rahmani, Behnaz , ShfieDehaghin, Mohammad,

./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...

ژورنال: پژوهش های ریاضی 2022

A discrete predator-prey system is presented. We study the existence and stability of the fixed point system. The conditions of existence of Flip and Neimark-sacker bifurcation is the system are derived. By using numerical continuation methods and MatContM toolbox. We compute bifurcation curves of fixed points and cycles with periods up to 32 under variation of one and to parameters, and comput...

2014
R. Khoshsiar Ghaziani W. Govaerts Juan J. Nieto

The dynamic behaviour of a Lotka-Volterra system, described by a planar map, is analytically and numerically investigated. We derive analytical conditions for stability and bifurcation of the fixed points of the system and compute analytically the normal form coefficients for the codimension 1 bifurcation points flip and Neimark-Sacker , and so establish subor supercriticality of these bifurcat...

Journal: :Chaos 2008
D J W Simpson J D Meiss

We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find that the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle-node bifurcation of the orbit. We deriv...

Journal: :I. J. Bifurcation and Chaos 2007
John Harlim W. F. Langford

The coalescence of a Hopf bifurcation with a codimension-two cusp bifurcation of equilibrium points yields a codimension-three bifurcation with rich dynamic behavior. This paper presents a comprehensive study of this cusp-Hopf bifurcation on the three-dimensional center manifold. It is based on truncated normal form equations, which have a phase-shift symmetry yielding a further reduction to a ...

2003
Hiroyuki Kitajima Tetsuya Yoshinaga Hiroshi Kawakami

Bifurcations observed in a phase converter circuit are investigated. We obtain a codimension two bifurcation which is intersection of period-doubling bifurcations. Periodic solutions generated by these bifurcations become chaotic states through a cascade of a codimension three bifurcation which is intersection of D-type of branching and period-doubling bifurcation.

2007
Anne C. Skeldon Irene M. Moroz

In this paper we investigate the dynamics associated with a degenerate codimension two Takens-Bogdanov bifurcation which arises in a recently derived model for selfexciting dynamo action introduced by Hide et al. [1]. The general unfolding of such a codimension three bifurcation has already been discussed in an abstract setting by Li and Rousseau [4]. Here we describe the unfolding scenario in ...

2010
Nizar Jabli Hedi Khammari Mohamed Faouzi Mimouni Rachid Dhifaoui

Mathematically, bifurcation theory attempts to investigate the changes in the qualitative or topological structure of a studied equation models. Given paper focuses on an analytical investigation of the nonlinear behavior of an indirect filedoriented control of induction motor. In this context, steady-state responses of the motor model are discussed and an analytical study of the generic codime...

2007
A. Golmakani

Lorenz like attractors are known to appear in unfoldings from certain codimension two homoclinic bifurcations for differential equations in R that possess a reflectional symmetry. This includes homoclinic loops under a resonance condition and the inclination flip homoclinic loops. We show that Lorenz like attractors also appear in the third possible codimension two homoclinic bifurcation (for h...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید