Results 11 to 20 of about 54,758 (206)
Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation [PDF]
, 2013 Following the paper of K. Shimizu et al. (2011) we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode oscillations reported in that paper can be explained using the ...
Kutafina, E.
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Early-Warning Signs for Pattern-Formation in Stochastic Partial Differential Equations [PDF]
, 2014 There have been significant recent advances in our understanding of the potential use and limitations of early-warning signs for predicting drastic changes, so called critical transitions or tipping points, in dynamical systems.
Gowda, Karna, Kuehn, Christian
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On Norm-Based Estimations for Domains of Attraction in Nonlinear Time-Delay Systems [PDF]
, 2020 For nonlinear time-delay systems, domains of attraction are rarely studied despite their importance for technological applications. The present paper provides methodological hints for the determination of an upper bound on the radius of attraction by ...
Gröll, Lutz +2 more
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, 2013 Many dynamical systems, including power systems, recover from perturbations more slowly as they approach critical transitions---a phenomenon known as critical slowing down.
Cotilla-Sanchez, Eduardo +3 more
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Miskolc Mathematical NotesIn this paper, we investigate the dynamical behavior of a two dimensional discretized prey predator system. The model is formulated in terms of difference equations and derived by using the higher-order implicit Runge Kutta method with a very small step ...
Karima Mokni, Mohamed Ch-Chaoui
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The dynamics of a low-order coupled ocean-atmosphere model
, 1998 A system of five ordinary differential equations is studied which combines the Lorenz-84 model for the atmosphere and a box model for the ocean. The behaviour of this system is studied as a function of the coupling parameters.
Opsteegh, T., van Veen, L., Verhulst, F.
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Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]
, 2012 We prove the existence of an unbounded connected branch of nontrivial homoclinic trajectories of a family of discrete nonautonomous asymptotically hyperbolic systems parametrized by a circle under assumptions involving the topological properties of the ...
A. Abbondandolo +20 more
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Topology and Homoclinic Trajectories of Discrete Dynamical Systems [PDF]
, 2012 We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles Es(+{\infty}) and Es(-{\infty}) of ...
A. Abbondandolo +24 more
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Dynamical Systems, Stability, and Chaos
, 2007 In this expository and resources chapter we review selected aspects of the mathematics of dynamical systems, stability, and chaos, within a historical framework that draws together two threads of its early development: celestial mechanics and control ...
Ball, R., Holmes, P.
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Qualitative analysis of the dynamics of the time delayed Chua's circuit [PDF]
, 1997 IEEE TRANS. CIRCUITS SYST.
Biey, Mario +3 more
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