Dynamics and bifurcations
WebOn Validated Equilibria and Bifurcations in Materials Science and Stochastic Dynamics. ... While the equilibrium states associated with this equation are of central importance for the description of the dynamics of block copolymers, their mathematical study remains challenging. We develop computer-assisted proof methods which can be used to ... WebDec 31, 2014 · Revised: May 31, 2015. Published: February 2016. Abstract. In this paper, we investigate a class of population model with seasonal constant-yield harvesting and discuss the effect of the seasonal harvesting on the survival of the population. It is shown that the population can be survival if and only if the model has at least a periodic ...
Dynamics and bifurcations
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WebThe detailed dynamics of special or codimension-2 bifurcation points and codimension-1 bifurcation curves related to class I to class II excitability/spiking are introduced firstly, and then the whole framework of the bifurcations in the plane (I app, g inh) are provided. The resting state, coexisting behaviors of the resting and spiking states ... WebNov 30, 2024 · (ii) When $ I_0 < \widetilde{I_0} $, the model exhibits very rich dynamics and bifurcations, such as multiple endemic equilibria, periodic orbits, homoclinic orbits, Bogdanov-Takens bifurcations, and subcritical Hopf bifurcation. Keywords: SIRS epidemic model, nonmonotone incidence rate, piecewise-smooth treatment,
WebOct 12, 2024 · The focus of these studies are describing the dynamics and bifurcations in the presence of groups defense mechanism. Broer et al. also include a periodic perturbation (to model seasonal variation) on the carrying capacity of the environment following the study of Rinaldy et al. . The latter however consider a different type of response functions. WebOct 12, 2024 · The focus of these studies are describing the dynamics and bifurcations in the presence of groups defense mechanism. Broer et al. also include a periodic …
WebOn Validated Equilibria and Bifurcations in Materials Science and Stochastic Dynamics. ... While the equilibrium states associated with this equation are of central importance for … WebJan 15, 1999 · (1) and in Section 3 its bifurcations are discussed. A precise statement about the different bifurcations is given in Appendix A. The aspect of slow–fast dynamics is explained in Section 4. The physical meaning of the phase portraits and bifurcations is discussed in Section 5. We finally draw conclusions in Section 6. 2. The rate equation …
WebSep 1, 2024 · Global sliding bifurcations from touching bifurcation to buckling bifurcation and then to crossing bifurcation as time delay is increased further emphasize the significance of time delay in designing ... Sliding dynamics and bifurcations in the extended nonsmooth Filippov ecosystem. IntJBifurcationChaos, 31 (8) (2024), Article …
WebNov 15, 2012 · Classifications of bifurcations from an equilibrium on a switching manifold of a discontinuous system have been derived by Guardia–Seara–Teixeira [31] and Kuznetsov–Rinaldi–Gragnani [32].They show that the possible scenarios include homoclinic solutions and non-local transitions, e.g. a stable equilibrium can bifurcate to a cycle that … eastern shore toyota partsWebThe most important bifurcations are those of co-dimension 1. The best-understood bifurcations are those for which a local analysis is possible. The generic bifurcations … cukerala websiteWebA two-parameter family of discrete models, consisting of two coupled nonlinear difference equations, describing a host–parasite interaction is considered. In particular, we prove that the model has at most one nontrivial interior fixed point which is stable for a certain range of parameter values and also undergoes a Neimark–Sacker ... cuker law firm llcWebNov 15, 2008 · Among these models, the adaptive integrate-and-fire model is physiologically relevant in that its parameters can be easily related to physiological quantities. The … cuker law firmWebDec 6, 2012 · Dynamics and Bifurcations. In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the … eastern shore toyota spanish fort alabamaWebNov 3, 2024 · On the basis of global dynamics of two subsystems, for the formulated Filippov system, we examine the sliding mode dynamics, the boundary equilibrium bifurcations, and the global dynamics. eastern shore toyota used car inventoryWebNov 19, 2011 · Dynamics and Bifurcations "This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism. A refreshing balance is further achieved by the use of … eastern shore trading company