Results 41 to 50 of about 18,412 (196)
Integrability and zero-Hopf bifurcation in the Sprott A system
Bulletin des Sciences Mathématiques, 2021 The first objective of this paper is to study the Darboux integrability of the polynomial differential system x˙=y, y˙=−x−yz, z˙=y²−a and the second one is to show that for a > 0 sufficiently small this model exhibits one small amplitude periodic solution that bifurcates from the origin of coordinates when a = 0.
Luis Barreira +2 more
openaire +6 more sources
Traveling waves in a parabolic problem with a rotation on the circle [PDF]
Компьютерные исследования и моделирование, 2017 Optical systems with two-dimensional feedback demonstrate wide possibilities for studying the nucleation and development processes of dissipative structures.
Yuliya Aleksandrovna Khazova
doaj +1 more source
Zero-Hopf bifurcation and ultimate boundness of an asymmetrical hyperchaotic Lorenz system
Franklin Open, 2023 The complex dynamics of a newly proposed 4D hyperchaotic Lorenz-type system are studied in this paper. The sufficient conditions for the emergence and stability of periodic solutions at bifurcation points are derived using averaging theory.
Ali A. Shukur, Rizgar H. Salih
doaj +1 more source
Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations [PDF]
, 2015 Gene regulatory networks, i.e. DNA segments in a cell which interact with each other indirectly through their RNA and protein products, lie at the heart of many important intracellular signal transduction processes.
Chaplain, M, Ptashnyk, M, Sturrock, M
core +1 more source
Application of dynamical systems theory to the high angle of attack dynamics of the F-14 [PDF]
, 1990 Dynamical systems theory has been used to study the nonlinear dynamics of the F-14. An eight degree of freedom model that does not include the control system present in operational F-14's has been analyzed.
Culick, Fred E. C., Jahnke, Craig C.
core +1 more source
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source
Simple-Zero and Double-Zero Singularities of a Kaldor-Kalecki Model of Business Cycles with Delay
Discrete Dynamics in Nature and Society, 2009 We study the Kaldor-Kalecki model of business cycles with delay in both the gross product and the capital stock. Simple-zero and double-zero singularities are investigated when bifurcation parameters change near certain critical values.
Xiaoqin P. Wu
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Limit cycles bifurcating from a zero–Hopf singularity in arbitrary dimension [PDF]
Nonlinear Dynamics, 2018 We study the limit cycles which can bifurcate from a zero--Hopf singularity of a C^m 1 differential system in \R^n, i.e. from a singularity with eigenvalues b i and n-2 zeros for n 3. If this singularity is at the origin of coordinates and the Taylor expansion of the differential system at the origin without taking into account the linear terms starts ...
Barreira, Luis +2 more
openaire +4 more sources
Pseudo, or Not? Neo‐Goodwinian Growth Cycles With Financial Linkages
Metroeconomica, EarlyView.ABSTRACT A profit‐led Goodwin mechanism generates the observed counterclockwise activity–labor share cycle. Introducing a financial linkage can reproduce this pattern even when demand is not profit‐led. This paper extends neo‐Goodwinian theory by incorporating the valuation ratio into a four‐dimensional model.
Rudiger von Arnim, Luis Felipe Eick
wiley +1 more source
Nonlinear Analysis, 2022 In this paper, we propose an HIV model with latent reservoir, delayed CTL immune response and immune impairment in which both virus-to-cell infection and cell-to-cell viral transmission are considered.
Liru Zhang, Rui Xu
doaj +1 more source