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Planar Dynamical Systems [PDF]
, 2014 This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's ...
Liu, Yirong, Li, Jibin, Huang, Wentao
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Computability in planar dynamical systems [PDF]
Natural Computing, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Graça
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Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis [PDF]
Scientific ReportsThis study, analyzed the explicit solitary wave soliton for the stochastic resonance nonlinear Schrödinger equation under the Brownian motion. The Schrödinger equations are mostly used to describe how light moves via planar wave guides and nonlinear ...
Sumaira Nawaz +4 more
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Results in Physics, 2023 In this paper, the dynamical behavior and optical soliton of the coupled Kaup–Newell equation are studied. Firstly, the phase portraits of the coupled Kaup–Newell equation are drawn by using Maple software.
Zhao Li
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Unveiling chaos and stability in advection diffusion reaction systems via advanced dynamical and sensitivity analysis [PDF]
Scientific ReportsThis paper focuses on the dynamical analysis of the advection-diffusion-reaction equation under various conditions that highlight the system’s sensitivity and potential for chaotic behavior.
Muhammad Moneeb Tariq +3 more
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On a Planar Dynamical System Arising in the Network Control Theory
Mathematical Modelling and Analysis, 2016 We study the structure of attractors in the two-dimensional dynamical system that appears in the network control theory. We provide description of the attracting set and follow changes this set suffers under the changes of positive parameters µ and Θ.
Svetlana Atslega +2 more
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Characterization of the Dynamical Properties of Safety Filters for Linear Planar Systems
2024 IEEE 63rd Conference on Decision and Control (CDC)This paper studies the dynamical properties of closed-loop systems obtained from control barrier function-based safety filters. We provide a sufficient and necessary condition for the existence of undesirable equilibria and show that the Jacobian matrix of the closed-loop system evaluated at an undesirable equilibrium always has a nonpositive ...
Jorge Cortes, Pol Mestres Ramon
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Results in Physics, 2023 The present article formally studies the propagation of optical pulses in a nonlinear medium governed by the nonlinear Kodama equation. For this purpose, the Lie symmetries group is first adopted for similarity reduction and constructing some exact ...
K. Hosseini +5 more
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Results in Physics, 2023 This study is used to investigate the exact explicit solutions and dynamical behaviors of the (1+1)-dimensional integrable system of Drinfel’d–Sokolov–Wilson equations in dispersive media.
Haifa I. Alrebdi +6 more
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Coupled and Synchronization Models of Rhythmic Arm Movement in Planar Plane
Bioengineering, 2022 Nonlinear dynamics have become a new perspective on model human movement variability; however, it is still a debate whether chaotic behavior is indeed possible to present during a rhythmic movement.
Affiani Machmudah +2 more
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