Results 81 to 90 of about 173,849 (218)
Stability of Standing Periodic Waves in the Massive Thirring Model
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We analyze the spectral stability of the standing periodic waves in the massive Thirring model in laboratory coordinates. Since solutions of the linearized MTM equation are related to the squared eigenfunctions of the linear Lax system, the spectral stability of the standing periodic waves can be studied by using their Lax spectrum.
Shikun Cui, Dmitry E. Pelinovsky
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Singular Orbits and Dynamics at Infinity of a Conjugate Lorenz-Like System
Mathematical Modelling and Analysis, 2015 A conjugate Lorenz-like system which includes only two quadratic nonlinearities is proposed in this paper. Some basic properties of this system, such as the distribution of its equilibria and their stabilities, the Lyapunov exponents, the bifurcations ...
Fengjie Geng, Xianyi Li
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Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems
Complexity, 2021 The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the notion of well ...
Jorge A. Amador +3 more
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Effect of Axial and Radial Flow on the Hydrodynamics in a Taylor Reactor
Fluids, 2022 This paper investigates the impact of combined axial through flow and radial mass flux on Taylor–Couette flow in a counter-rotating configuration, in which different branches of nontrivial solutions appear via Hopf bifurcations.
Sebastian A. Altmeyer
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Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections
, 2007 We propose new methods for the numerical continuation of point-to-cycle connecting orbits in 3-dimensional autonomous ODE's using projection boundary conditions.
Afraimovich V. S. +5 more
core +4 more sources
Homoclinic and Heteroclinic Bifurcations in rf SQUIDs
Zeitschrift für Naturforschung A, 1988 Abstract The Melnikov method is used to discuss the parameter dependence of homoclinic and heteroclinic bifurcations for the rf SQUID system. Also the case of strong damping is treated. Because of the complicated potential the resulting integrals have to be evaluated numerically.
B. Bruhn, B. P. Koch
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
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Ecology, Volume 105, Issue 2, February 2024.Abstract A growing body of literature recognizes that pairwise species interactions are not necessarily an appropriate metaphorical molecule of community ecology. Two examples are intransitive competition and nonlinear higher‐order effects. While these two processes have been discussed extensively, the explicit analysis of how the two of them behave ...
John Vandermeer, Ivette Perfecto
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Bounded Orbits and Multiple Scroll Coexisting Attractors in a Dual System of Chua System
IEEE Access, 2020 A special three-dimensional chaotic system was proposed in 2016, as a dual system of Chua system, which is satisfied $a_{12}\cdot $ $a_{21}< 0$ .
Yue Liu +3 more
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Relaxation Oscillation in SEIR Epidemic Models with the Intrinsic Growth Rate
Complexity, Volume 2024, Issue 1, 2024.The periodic oscillation transmission of infectious diseases is widespread, deep understanding of this periodic pattern and exploring the generation mechanism, and identifying the specific factors that lead to such periodic outbreaks, which are of very importanceto predict and control the spread of infectious diseases.
Yingying Zhang +3 more
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