Results 21 to 30 of about 73,924 (320)
Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
doaj +1 more source
Parameter Inference with Bifurcation Diagrams
, 2021 Estimation of parameters in differential equation models can be achieved by applying learning algorithms to quantitative time-series data. However, sometimes it is only possible to measure qualitative changes of a system in response to a controlled condition.
Szep, Gregory +2 more
openaire +2 more sources
Synchronization in Networks of Hindmarsh-Rose Neurons [PDF]
, 2008 Synchronization is deemed to play an important role in information processing in many neuronal systems. In this work, using a well known technique due to Pecora and Carroll, we investigate the existence of a synchronous state and the bifurcation diagram ...
Biey, Mario +3 more
core +1 more source
Complex dynamics of an optically injected semiconductor laser : bifurcation theory and experiment [PDF]
, 2002 In this paper unprecedented agreement is reported between a theoretical two-dimensional bifurcation diagram and the corresponding experimental stability map of an optically injected semiconductor laser over a large range of relevant injection parameter ...
Krauskopf, B +3 more
core +1 more source
Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response
Advances in Difference Equations, 2019 In this paper, a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in detail. The existence, boundedness and stability of the model are qualitatively discussed.
Yong Ye +5 more
doaj +1 more source
Complexity, 2021 In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and ...
Huijian Zhu, Lijie Li
doaj +1 more source
Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
doaj +1 more source
Smoothness property for bifurcation diagrams [PDF]
Publicacions Matemàtiques, 1997 Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to sub-analytic sets. But it is no longer true when the bifurcation is related to transition near singular points, for instance for a line of double limit cycles in a ...
openaire +6 more sources
Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle
Shock and Vibration, 2016 Little is known about the movement characteristics of the supercavitating vehicle navigating underwater. In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical
Tianhong Xiong +3 more
doaj +1 more source
Invariant manifolds of the Bonhoeffer-van der Pol oscillator
, 2010 The stable and unstable manifolds of a saddle fixed point (SFP) of the Bonhoeffer-van der Pol oscillator are numerically studied. A correspondence between the existence of homoclinic tangencies (whic are related to the creation or destruction of Smale ...
Benítez, R., Bolós, V. J.
core +1 more source