Results 31 to 40 of about 3,877 (218)
Mathematical Biosciences and Engineering, 2015 In this paper, we analyze a general predator-prey modelwith state feedback impulsive harvesting strategies in which the prey species displays a strongAllee effect.
Qizhen Xiao, Binxiang Dai
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International Journal of Mechanical System Dynamics, 2023 Environmental noise can lead to complex stochastic dynamical behaviors in nonlinear systems. In this paper, a Lorenz system with the parameter region with two stable fixed points and a chaotic saddle subject to white Gaussian noise is investigated as an ...
Yong Huang
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New approach to study the van der Pol equation for large damping
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a new approach to establish the existence of a unique limit cycle for the van der Pol equation in case of large damping. It is connected with the bifurcation of a stable hyperbolic limit cycle from a closed curve composed of two heteroclinic ...
Klaus Schneider
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Spiralling dynamics near heteroclinic networks [PDF]
, 2013 There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of vector fields} on the three-dimensional sphere $\EU^3$, whose flow has a ...
Address Of Alex +7 more
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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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Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling [PDF]
, 2001 The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the formation of a ...
A.T. Winfree +18 more
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Shapley Polygons in 4 x 4 Games
Games, 2010 We study 4 x 4 games for which the best response dynamics contain a cycle. We give examples in which multiple Shapley polygons occur for these kinds of games.
Martin Hahn
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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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Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection [PDF]
, 1998 We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this ‘cycling chaos’ manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets interspersed with short ...
A.M. Rucklidge +23 more
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Heteroclinic cycles between unstable attractors [PDF]
Nonlinearity, 2008 We consider networks of pulse coupled linear oscillators with non-zero delay where the coupling between the oscillators is given by the Mirollo-Strogatz function. We prove the existence of heteroclinic cycles between unstable attractors for a network of four oscillators and for an open set of parameter values.
Broer, Henk +2 more
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