bifurcations in English

noun
1
the division of something into two branches or parts.
the bifurcation of the profession into social do-gooders and self-serving iconoclasts

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1. Bifurcations synonyms, Bifurcations pronunciation, Bifurcations translation, English dictionary definition of Bifurcations

2. Rosales Bifurcations: baby normal forms

3. 8.1 Bifurcations in linear systems

4. Rosales Bifurcations: baby normal forms

5. 4 Problem Set 4 — Bifurcations 1

6. Saddle-Node Bifurcations in Two Dimensions

7. Welcome to a new section of Nonlinear Dynamics: Bifurcations! Bifurcations are points where a dynamical system (e.g

8. Look at these two bifurcations here.

9. Cerebral aneurysms form preferentially at arterial Bifurcations

10. BALT, located mostly at bifurcations of the Bronchus …

11. Bifurcations occur are sometimes referred to as Hopf points

12. Bifurcations of orbits homoclinic and heteroclinic to hyperbolic equilibria

13. The bifurcations of fixed points are illustrated in Figs 1-

14. Bifurcation (countable and uncountable, plural Bifurcations) A division into two branches

15. Subsequent period-doubling bifurcations appear as r is increased, resulting in increasingly complex periodic solutions.

16. The absorb bioresorbable vascular scaffold in coronary Bifurcations: insights from bench testing

17. Detection of codimension-two equilibrium Bifurcations in a system of ordinary differential equations allows one to predict such global phenomena as hysteresis, invariant tori, limit cycle and homoclinic Bifurcations, and chaotic attractors (cf

18. Bifurcations: EPISODE 3 – TAP TECHNIQUE August 13, 2019 August 15, 2019 Mirvat Alasnag, MD

19. This chapter is devoted to the generation of periodic orbits via homoclinic Bifurcations

20. SCAI FIRST Florida: PCI Decisions in Uniquely Challenging Lesions—Calcification, Bifurcations, Dissection, and Others

21. For more precise details in the case of Bifurcations of solutions to equations cf

22. Atherosclerosis at arterial Bifurcations: evidence for the role of haemodynamics and geometry Thromb Haemost

23. In higher dimensions, steady-state Bifurcations occur at parameter values where the Jacobian matrix has a zero eigenvalue

24. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading

25. Bifurcations are very common in blood vessels and in the bronchial ‘tree’ of the lungs

26. To identify the values of the parameter where the Bifurcations occur, one typically examines a bifurcation diagram (see below)

27. However, some of the particles become impacted at alveolar duct bifurcations, where macrophages accumulate and engulf the trapped particulates.

28. Neural dynamics, Bifurcations and firing rates in a quadratic integrate-and-fire model with a recovery variable

29. Bifurcations for a one-parameter family of differential equations \(dx/dt = f_\lambda(x)\) are, in fact, rare

30. To bifurcate means to split apart: in one dimensional equations, it is the equilibrium points that undergo Bifurcations

31. Saddle: transcritical: supercritical pitchfork: subcritical pitchfork: This Demonstration shows Bifurcations of these nonlinear first-order ODEs as you vary the parameter .

32. With the four pictures discussed above firmly in hand, we now attempt to put all of this information together to discuss Bifurcations

33. Bifurcations in a dynamical system (system of ODEs) describe the qualitative change in behavior under a variation or change of some parameters of the system

34. PCI Decisions in Uniquely Challenging Lesions: Calcification, Bifurcations, Dissection, and Others How to Register To register, press the "Login, Get Started, or Register" button

35. After the production of sepal primordia, common stamen–nectary primordia arise. Nectary primordia are produced abaxially as a result of bifurcations of the common stamen–nectary primordia.

36. In addition to the saddle node Bilification often associated with voltage collapse, the power system exhibits sub- and supercritical Hopf bifurcations, cyclic fold bifurcation, and period doubling bifurcation.

37. 8.2: Bifurcations in 1-D Continuous-Time Models For bifurcation analysis, continuous-time models are actually simpler than discrete-time models (we will discuss the reasons for this later)

38. A Hopf bifurcation is different in character to the previous three Bifurcations and represents a situation where a system that is steady with time suddenly begins to oscillate as a parameter is varied

39. Introduction to Bifurcations and The Hopf Bifurcation Theorem Roberto Munoz-Alicea~ µ = 0 x Figure 1: Phase portrait for Example 2.1 We conclude that the equilibrium point x = 0 is an unstable saddle node

40. Bifurcations in nature • Often play important roles as a switching mechanism that causes abrupt changes of systems’ behavior from one to another – Conformation switching of proteins and other biopolymers – Neural switching (resting/excited) – Pattern formation in …

41. The vascular optimality principle (VOP) decrees that minimal energy loss across Bifurcations requires optimal caliber control between radii of parent (r₀) and daughter branches (r1 and r2): r₀(n)=r₁(n)+r₂(n), with n approximating three …

42. The occurrence of Hopf Bifurcations depend on the eigenvalues of the linear portion of (1), given by dz dt (t,μ)=U(μ)z(t,μ)+V(μ)z(t− σ,μ), (2) in which at least one of the eigenvalues of this problem has a zero real part.

43. In this paper, we report the occurrence of sliding Bifurcations admitted by the memristive Murali–Lakshmanan–Chua circuit [Ishaq & Lakshmanan, 2013] and the memristive driven Chua oscillator [Ishaq et al., 2011].Both of these circuits have a flux-controlled active memristor designed by the authors in 2011, as their nonlinear element.

44. Bifurcations, solitons and fractals are some of these ubiquitous structures that can be indistinctively identified in many models with the most diverse applications, from microtubules with an essential role in the maintenance and the shaping of cells, to the nano/microscale structure in disordered systems determined with small-angle scattering

45. The Bifurcations discussed above (saddle-node, transcritical, pitchfork, Hopf) are also possible in discrete-time dynamical systems with one variable: \[x_{t} =F(x_{t-1}) \label{(8.35)}\] The Jacobian matrix of this system is, again, a 1×1 matrix whose eigenvalue is its content itself, which is given by \(dF/dx\)

46. The purpose of the present chapter is once again to show on concrete new examples that chaos in one-dimensional unimodal mappings, dynamical chaos in systems of ordinary differential equations, diffusion chaos in systems of the equations with partial derivatives and chaos in Hamiltonian and conservative systems are generated by cascades of Bifurcations under universal Bifurcation …