site stats

Global bifurcation and chaos

WebUsing 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 … WebNov 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., …

Fractal Fract Free Full-Text Global Bifurcation Behaviors and ...

WebApr 10, 2024 · We derive a global Poincaré return map to prove the existence of the double-scroll attractor and explicitly characterize its global dynamical properties. In particular, we demonstrate that the double-scroll attractor corresponds to an attractor of the Poincaré map, which is confined inside four spiral strips lying on two global odd … 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 … gold chicago https://solahmoonproductions.com

Global bifurcations in fractional-order chaotic systems with an ...

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 … 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. 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 ... gold chicken earrings

Bifurcation and chaos analysis of tumor growth International …

Category:Global bifurcations of a multi-stable nonlinear oscillator

Tags:Global bifurcation and chaos

Global bifurcation and chaos

Bifurcation and Chaos: Theory and Applications

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 … WebGlobal Bifurcation: The Decision Window. It has been said that our generation is the first in history that can decide whether it is the last in history. We need to add that our generation is also the first in history that can decide whether it will be the first generation of a new …

Global bifurcation and chaos

Did you know?

WebSep 11, 1992 · Abstract. This paper deals with cell mapping methodology for global analysis of nonlinear dynamical systems. It serves a mixed set of purposes. It is basically a tutorial paper on cell mapping. But, it also reports on certain new developments in cell mapping and includes a summary of recent publications on the topic. 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 ...

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 ... WebAbout this book. 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 …

WebThe monotonicity and the C ∞ smoothness of the grazing bifurcation curve are proved. All global phase portraits and a complete global bifurcation diagram are described. Finally, some numerical examples are demonstrated. ... S. & Gragnani, A. [2003] “ One-parameter bifurcations in planar Filippov systems,” Int. J. Bifurcation and Chaos 13 ... 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 …

WebNov 9, 2024 · In this paper, we focus on the bifurcation analysis of a multi-stable nonlinear oscillator. This oscillator exhibits multiple equilibrium configurations depending on the parameter of a mechanical model. It is shown that the equilibrium curve undergoes multiple fold bifurcations, a supercritical pitchfork bifurcation, multiple discontinuous bifurcations, …

WebJun 30, 2006 · Type : PDF & EPUB. Page : 388. Download →. Description: This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. The theme of the conference was Bifurcation and Chaos: Analysis, Algorithms, Ap plications. More than 100 scientists from 21 countries presented 80 contributions. hca uk annual reportWebAbstract. In this paper, a dynamic model given by three-dimensional ordinary differential equations is studied to determine how the dynamics of tumor growth is controlled by some key parameters. By varying the competition coefficient between healthy host cells and tumor cells, a Hopf bifurcation occurs in this system, leading to the creation of ... hca uk reviewsWebApr 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 . hca unit based councilWebJan 1, 1988 · PDF On Jan 1, 1988, Stephen Wiggins published Global Bifurcations and Chaos-Analytical Methods Find, read and cite all … gold chicago bulls hathca uk primary careWebMay 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: … gold chickWebApr 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 … hca uk the shard