Dynamics and bifurcations
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, 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) …
Dynamics and bifurcations
Did you know?
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 ... WebDec 1, 2024 · Nonlinear dynamics of discontinuous oscillators with unilateral constraints and non-random parametric uncertainties are investigated. Nonlinear oscillators considering single- and double-sided constraints are carefully constructed to exhibit rich bifurcations, such as period-doubling and Neimark–Sacker bifurcations.
WebNov 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 … WebWe investigate the stability of all equilibria and the boundary equilibrium bifurcations of these systems, either a persistence bifurcation or a nonsmooth fold bifurcation. ... P. T. & Banerjee, S. [2024] “ Dynamics of a Filippov predator–prey system with stage-specific intermittent harvesting,” Nonlin. Dyn. 105, 1019–1043. Crossref ...
WebNov 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 … WebIn 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
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 …
WebDec 6, 1991 · Dynamics and Bifurcations "This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from … cinnamon sugar bourbon pumpkin muffinsWebJan 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 … dial a flow setWebThe 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 … cinnamon sugar bread microwaveWebNov 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 … dial-a-flow tubingWebJul 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. … cinnamon sugar blondiesWebDec 7, 2024 · Interestingly, these complex bifurcations relate closely with the bistable dynamics (Fig. 1 A) that we often observe in many dynamical systems (Herberg and Roeder, 2015, Kalmer, 2009, Rata et al., 2024, Rombouts and Gelens, 2024, Yao et al., 2008).For example; in the case of Mushroom (Fig. 1 B) and Isola (Fig. 1 C) bifurcations … dial a flow pumpWebDynamics and bifurcations by Hale, Jack K. Publication date 1991 Topics Bifurcation theory, Differentiable dynamical systems, Differential equations Publisher New York : Springer-Verlag Collection inlibrary; printdisabled; … cinnamon sugar candy cane twists