Dynamics and bifurcations
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 ...
Dynamics and bifurcations
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WebJul 1, 2024 · In this paper, we examined the complexity of the dynamics in the map N (Ψ, Φ). Bifurcations at the origin are observed to be period-doubling, Neimark-Sacker, and strong resonances. Based on the Neimark-Sacker bifurcation, both neurons will fluctuate around some mean value of l 12, and these fluctuations will not cease when b N S < 0. … WebThis Dynamics And Bifurcations Of Non Smooth Mechanical Systems Lecture Notes In Applied And Computational Mechanics Pdf Pdf, as one of the most working sellers here …
WebDec 1, 2024 · The curves of codim-1 and 2 bifurcations are computed by employing the numerical method. The numerical simulations reveal the behaviour of the model near the Neimark-Sacker bifurcation. We show the model (3) has complex dynamics in this paper. In biological point of view the prey and predator coexist in the stable high period cycles up … 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. Web"Dynamics and Bifurcations of Non-smooth Mechanical Systems" presents these developments in a comprehensive way and opens the field to the Nonlinear Dynamics community. This book addresses …
WebDynamics and Bifurcations - Ebook written by Jack K. Hale, Hüseyin Kocak. Read this book using Google Play Books app on your PC, android, iOS devices. Download for …
WebIn this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional piecewise-smooth dynamical systems, particularly Continuous PWS and Discontinuous PWS (or Filippov-type PWS) … bither peersWebDynamics 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 … bither walletIt is useful to divide bifurcations into two principal classes: • Local bifurcations, which can be analysed entirely through changes in the local stability properties of equilibria, periodic orbits or other invariant sets as parameters cross through critical thresholds; and • Global bifurcations, which often occur when larger invariant sets of the system 'collide' with each other, o… bithes come and goWebSep 1, 2024 · Download Citation Dynamics and bifurcations of a Filippov Leslie-Gower predator-prey model with group defense and time delay In this paper, the Leslie-Gower model with nonmonotonic functional ... data analyst internship houstonWebDec 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 ... bithesisWebIn the present study, we analyze the dynamics of a four-dimensional generalized Lorenz system with one variable describing the profile of the magnetic field induced in a convected magnetized fluid. I bithero switchWebDec 6, 1991 · Dynamics and Bifurcations "This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from … bithers ins tewksbury ma