Results 51 to 60 of about 401 (174)
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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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +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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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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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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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
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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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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
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The Hunt Opinion Model-An Agent Based Approach to Recurring Fashion Cycles. [PDF]
PLoS ONE, 2016 We study a simple agent-based model of the recurring fashion cycles in the society that consists of two interacting communities: "snobs" and "followers" (or "opinion hunters", hence the name of the model).
Rafał Apriasz +3 more
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi +3 more
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