2024 Global bifurcation and chaos

Global bifurcation and chaos

Author: lbuv

August undefined, 2024

WebIn this paper a bifurcation analysis of a piecewise-affine discrete-time dynamical system is carried out. Such a system derives from a well-known map which has good features from its circuit implementation point of view and good statistical properties in the generation of pseudo-random sequences. The considered map is a generalization of it and the … WebJul 18, 2016 · Global bifurcations include sudden changes in chaotic sets due to crises. There are three types of crises defined by Grebogi et al. [Physica D 7, 181 (1983)]: boundary crisis, interior crisis, and metamorphosis.In this paper, by means of the …

How bifurcation and chaos are related? ResearchGate

WebOct 11, 2024 · Order from Chaos Worsening global digital divide as the US and China continue zero-sum competitions ... there would be a “bifurcation into a Chinese-led internet and a non-Chinese internet led ... WebMay 7, 2024 · working area optimization scheme can effectively avoid the homoclinic bifurcation in the PS-HEV during the driving pro-cess and prevent the vehicle from entering the chaotic state. Keywords Electromechanical coupling, global bifurcation, chaos, Melnikov analysis Date received: 7 May 2024; accepted: 5 August 2024 Handling Editor: … for the last two weeks

Information geometry theory of bifurcations? A covariant …

WebAug 1, 1992 · Chaos emerges from a global bifurcation - a non-local change in the phase portrait of tile system. The following conclusions are reached. Even the simplest models of power systems exhibit both local and global bifurcations. Local bifurcations occur because power flow equations have multiple solutions. In models that only incorporate real power ... WebJan 1, 2010 · The global bifurcations and chaotic motions are investigated analytically for an arch structure with parametric and forced excitation. The critical curves separating the chaotic and non-chaotic regions are drawn, which show that the system in the case of … WebMar 21, 2007 · Global bifurcations of a fourth-order Hamiltonian system with Z 2 ⨭ Z 2 symmetry are studied. The system represents normal-form equations that arise in a variety of problems which have one-one internal resonance and which are forced … for the last time rory gallagher

(PDF) On the bifurcation phenomena in truncations of the 2D …

Global bifurcations of a multi-stable nonlinear oscillator

WebJan 31, 2024 · Numerical bifurcation analysis, and in particular two-parameter continuation, is used in consort with numerical simulation to reveal complicated dynamics in the Mackey-Glass equation for moderate values of the delay close to the onset of chaos. In particular a cusp bifurcation of periodic orbits and resulting branches of folds of periodic orbits … WebApr 20, 1988 · Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos … diller and riceWebGlobal bifurcations can also involve more complicated sets such as chaotic attractors (e.g. crises). Codimension of a bifurcation. The codimension of a bifurcation is the number of parameters which must be varied for the … dille red angus

"WebApr 12, 2024 · The global oscillation amplitude M as a function of the inactivation ratio p for selected sets of parameters (different coupling strengths K and distances from bifurcation σ) and strategies of placing the oscillators from the oscillatory to the excitable regime, as indicated by different colors. Notably, for smaller distances from bifurcation ... " - Global bifurcation and chaos

Global bifurcation and chaos

WebGlobal Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and … WebA bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behavior. Topology ...

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WebNov 10, 2024 · We study the origin of homoclinic chaos in the classical 3D model proposed by Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle-foci and how their synergy determines the global bifurcation unfolding of the model, along with transformations of its chaotic attractors. WebJul 18, 2016 · Global bifurcations include sudden changes in chaotic sets due to crises. There are three types of crises defined by Grebogi et al. [Physica D 7, 181 (1983)]: boundary crisis, interior crisis, and metamorphosis.In this paper, by means of the …

WebFeb 16, 2024 · Thus, this limitation imposes the necessity of non-trivial global techniques and lengthy numerical solutions. In this article, we present an attempt to overcome these problems by including the Fisher information theory in the study of bifurcations. ... “ Parametric analysis of bifurcation and chaos in a periodically driven horizontal impact ... WebApr 26, 2006 · Wiggins, S. 1988 Global Bifurcation and Chaos – Analytical Methods. Springer . Yang , S. M. , Feng , Z. C. & Leal , L. G. 1993 Nonlinear effects in dynamics of shape and volume oscillation for a gas bubble in an external flow .

WebJun 30, 2006 · Chapter 1. Bifurcation, Limit Cycle and Chaos of Nonlinear Dynamical Systems (Pei Yu) Chapter 2. Grazing Flows in Discontinuous Dynamic Systems (Albert C.J. Luo) Chapter 3. Global Bifurcations of … WebApr 12, 2024 · This scenario changes for very high coupling, when the SNIC bifurcation turns to a SN through a saddle-node separatrix loop (SNSL) codimension-2 bifurcation . From this point, a homoclinic bifurcation (Hom.) bounds the region of oscillatory dynamics, which appear for arbitrary low p. Parallel to the homoclinic line, two additional branches …

WebJan 1, 1988 · PDF On Jan 1, 1988, Stephen Wiggins published Global Bifurcations and Chaos-Analytical Methods Find, read and cite all …

WebThe stable period-1 to period-8 motions, and period-3 to period-12 motions are presented in Fig. 1 (a) and (b), while the unstable periodic motions only can be observed through the discrete analysis in Fig. 1 (b), which can help us understand the bifurcation mechanism to chaos of the improved FHN model. For further investigation on the bifurcation routes to … diller and fisher stone harbor njWebJan 1, 1995 · Abstract. Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in ... diller and fisher rentals stone harborWebConditions for the global asymptotic stability of delayed artificial neural network model of n (≥3) neurons have been derived. For bifurcation analysis with respect to delay we have considered the model … for the latter caseWebUsing Crandall–Rabinowitz bifurcation theory, we investigate the steady-state bifurcation of the nonlinear system by choosing the prey-tactic sensitivity coefficient as a bifurcating parameter. It is rigorously proved that a branch of nonconstant solution … diller and scofidioWebWe have studied bifurcation phenomena for the incompressible Navier-Stokes equations in two space dimensions with periodic boundary conditions. Fourier representations of velocity and pressure have been used to transform the original partial differential equations into systems of ordinary differential equations (ODE), to which numerical methods for the … for the last time suicidé boy lyricsWebPrey and predator birth-rates are treated as bifurcation parameters and the theorems of global bifurcation theory are adapted so that they apply easily to the system. Thus ranges of parameters are found for which there exist nontrivial steady-state solutions. ... 27 August 2024 International Journal of Bifurcation and Chaos, Vol. 29, No. 09 ... for the late responseWebNov 27, 2013 · Global Bifurcations and Chaos. : Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., … for the later