Results 11 to 20 of about 15,425 (247)
Conservative generalized bifurcation diagrams
Physics Letters A, 2013 Bifurcation cascades in conservative systems are shown to exhibit a generalized diagram, which contains all relevant informations regarding the location of periodic orbits (resonances), their width (island size), irrational tori and the infinite higher-order resonances, showing the intricate way they are born. Contraction rates for islands sizes, along
Manchein, Cesar, Beims, Marcus W.
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Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
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Random perturbations of bifurcation diagrams [PDF]
Nonlinear Dynamics, 1994 Random perturbations of one dimensional bifurcation diagrams can exhibit qualitative behavior that is quite different from that of the unperturbed, deterministic situation. For Markov solutions of one dimensional random differential equations with bounded ergodic diffusion processes as perturbations, effects like disappearance of stationary Murkov ...
Colonius, Fritz, Kliemann, Wolfgang
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Nonlinear Dynamic Characteristics of the Curve-face Gear Transmission System
Jixie chuandong, 2023 In order to study the nonlinear dynamic characteristics of the curve-face gear transmission system and the influence of parameters on the dynamic characteristics of the system, a nonlinear dynamic model of the curve-face gear system is established.
Liu Jun +3 more
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Some new results on charged compact boson stars
Physics Letters B, 2017 In this work we present some new results obtained in a study of the phase diagram of charged compact boson stars in a theory involving a complex scalar field with a conical potential coupled to a U(1) gauge field and gravity.
Sanjeev Kumar +4 more
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Complexity, 2021 In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and ...
Huijian Zhu, Lijie Li
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Parameter Inference with Bifurcation Diagrams
, 2021 Estimation of parameters in differential equation models can be achieved by applying learning algorithms to quantitative time-series data. However, sometimes it is only possible to measure qualitative changes of a system in response to a controlled condition.
Szep, Gregory +2 more
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Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response
Advances in Difference Equations, 2019 In this paper, a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in detail. The existence, boundedness and stability of the model are qualitatively discussed.
Yong Ye +5 more
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Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle
Shock and Vibration, 2016 Little is known about the movement characteristics of the supercavitating vehicle navigating underwater. In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical
Tianhong Xiong +3 more
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