نتایج جستجو برای: bifurcation function

تعداد نتایج: 1231414  

Journal: :Chaos 2011
Hayato Chiba Isao Nishikawa

A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensional center manifold on a space of generalized functions. The dynamics on the manifold is derived for any coupling functions. When the coupling function is sin θ, a bifurcation diagram conjectured by Kuramoto is rigorous...

2018
Philip Tröster Julia Haseleu Jonas Petersen Oliver Drees Achim Schmidtko Frederick Schwaller Gary R. Lewin Gohar Ter-Avetisyan York Winter Stefanie Peters Susanne Feil Robert Feil Fritz G. Rathjen Hannes Schmidt

A cGMP signaling cascade composed of C-type natriuretic peptide, the guanylyl cyclase receptor Npr2 and cGMP-dependent protein kinase I (cGKI) controls the bifurcation of sensory axons upon entering the spinal cord during embryonic development. However, the impact of axon bifurcation on sensory processing in adulthood remains poorly understood. To investigate the functional consequences of impa...

Journal: :I. J. Bifurcation and Chaos 2015
J. H. Yang Miguel A. F. Sanjuán F. Tian H. F. Yang

We investigate the saddle-node bifurcation and vibrational resonance in a fractional system that has an asymmetric bistable potential. Due to the asymmetric nature of the potential function, the response and its amplitude closely depend on the potential well where the motion takes place. And consequently for numerical simulations, the initial condition is a key and important factor. To overcome...

1998
ERIC A. BUTCHER S. C. SINHA S. C. Sinha

A symbolic computational technique is used to study the secondary bifurcations of a parametrically excited simple pendulum as an explicit function of the periodic parameter. This is made possible by the recent development of an algorithm which approximates the fundamental solution matrix of linear time-periodic systems in terms of system parameters in symbolic form. By evaluating this matrix at...

A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parame...

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...

Journal: :Mathematical biosciences 2008
S M Garba A B Gumel M R Abu Bakar

A deterministic model for the transmission dynamics of a strain of dengue disease, which allows transmission by exposed humans and mosquitoes, is developed and rigorously analysed. The model, consisting of seven mutually-exclusive compartments representing the human and vector dynamics, has a locally-asymptotically stable disease-free equilibrium (DFE) whenever a certain epidemiological thresho...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2006
Awadhesh Prasad Jürgen Kurths Syamal Kumar Dana Ramakrishna Ramaswamy

We present a general bifurcation in the synchronized dynamics of time-delay-coupled nonlinear oscillators. The relative phase between the oscillators jumps from zero to pi as a function of the coupling; this phase-flip bifurcation is accompanied by a discontinuous change in the frequency of the synchronized oscillators. This phenomenon is of broad relevance, being observed in regimes of oscilla...

Journal: :Mathematical biosciences 2015
Jin Shang Bingtuan Li Michael R Barnard

We provide rigorous analysis for a discrete-time model composed of the Ricker function and Beverton-Holt function. This model was proposed by Lewis and Li [Bull. Math. Biol. 74 (2012) 2383-2402] in the study of a population in which reproduction occurs at a discrete instant of time whereas death and competition take place continuously during the season. We show analytically that there exists a ...

Journal: :Systems & Control Letters 2021

Controllability properties are studied for control-affine systems depending on a parameter α and with constrained control values. The uncontrolled in dimension two three subject to homoclinic bifurcation. This generates families of sets the involved vector fields size range. A new β given by split function bifurcation determines behavior these sets. It is also shown that there regions where equ...

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