Bifurcations and chaos in nonlinear Lindblad equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 Abstract The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time evolution to be linear. However, when the dynamics of the density matrix is of a quantum system
Bernd Fernengel, Barbara Drossel
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Bifurcation and chaos in power systems
Sadhana, 1993 A detailed example of a power system model with load dynamics is studied by investigating qualitative changes or bifurcations in its behaviour as a reactive power demand at one load bus is increased. In addition to the saddle-node bifurcation often associated with voltage collapse, we find other bifurcation phenomena which include Hopf bifurcation ...
Tan, Chin-Woo +3 more
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Bifurcation and Chaos of Slightly Curved Pipes [PDF]
Mathematical and Computational Applications, 2010 Non-linear vibrations of slightly curved pipes conveying fluid with constant velocity are investigated. The curvature is taken as an arbitrary function of the spatial variable. The initial displacement is considered due to the geometry of the pipe itself. The ends of the curved pipe are assumed to be immovable simple supports.
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Quasi-Periodic Bifurcations and Chaos [PDF]
MathematicsA natural phenomenon in applications is the interaction of quasi-periodic solutions of dynamical systems in a dissipative setting. We study the interactions of two of such ODE systems based on the construction of a nonlinear oscillator with thermostatic (energy) control. This leads to the emergence of complexity, torus doubling, and chaos.
Taoufik Bakri, Ferdinand Verhulst
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Bifurcations and Chaos in a Photovoltaic Plant [PDF]
International Journal of Bifurcation and Chaos, 2019 This paper presents a comprehensive approach to analyze the dynamics of a photovoltaic system by using a discrete-time modeling approach. The proposed structure consists of a photovoltaic array, a two-cell DC–DC buck converter and a load connected in cascade through a DC bus.
Mohamed Abdelmoula, Bruno Robert
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Bifurcation and chaos analysis for a discrete ecological developmental systems. [PDF]
Nonlinear Dyn, 2021 Jiang XW +4 more
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Thresholds, bifurcation and chaos in biological phenomena: Comment on "Mathematical models for Dengue fever epidemiology: A 10-year systematic review" by M. Aguiar et al. [PDF]
Phys Life Rev, 2023 Yang HM.
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Nonlinear difference equations, bifurcations and chaos: An introduction [PDF]
Research in Economics, 2008 Abstract The aim of these lecture notes is to present a few mathematical facts about the bifurcations of nonlinear difference equations, in a concise and simple form that might be useable by economic theorists.
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Reducing Chaos and Bifurcations in Newton-Type Methods
Abstract and Applied Analysis, 2013 We study the dynamics of some Newton-type iterative methods when they are applied of polynomials degrees two and three. The methods are free of high-order derivatives which are the main limitation of the classical high-order iterative schemes. The iterative schemes consist of several steps of damped Newton's method with the same derivative.
Amat, S. +2 more
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Optical solitons, bifurcation, and chaos in the nonlinear conformable Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal terms. [PDF]
Sci RepOmar FM +4 more
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