Snaking and isolas of localised states in bistable discrete lattices
, 2010 We consider localised states in a discrete bistable Allen-Cahn equation. This model equation combines bistability and local cell-to-cell coupling in the simplest possible way.
Antoneli +26 more
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ANALYSIS OF DYNAMIC CHARACTERISTICS OF FAULTY MAGNETIC BEARING-ROTOR SYSTEM
Jixie qiangdu, 2022 Consider the coupling of shaft cracks, rotor eccentricity, electromagnetic force of the electromagnetic bearing, and friction force between the rotating shaft and auxiliary bearing, the Runge-Kutta method is used to obtain the electromagnetic bearing ...
ZHANG LingYun, ZOU AiCheng
doaj
Invariant manifolds of the Bonhoeffer-van der Pol oscillator
, 2010 The stable and unstable manifolds of a saddle fixed point (SFP) of the Bonhoeffer-van der Pol oscillator are numerically studied. A correspondence between the existence of homoclinic tangencies (whic are related to the creation or destruction of Smale ...
Benítez, R., Bolós, V. J.
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Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective [PDF]
, 2014 A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave patterns are derived.
Frank, T. D.
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From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method. [PDF]
Nonlinear DynSykora HT, Beregi S.
europepmc +2 more sources
Bifurcation diagrams of global connections in Filippov systems
Nonlinear Analysis: Hybrid Systems, 2023 In this paper, we are concerned about the qualitative behavior of planar Filippov systems around some typical invariant sets, namely, polycycles. In the smooth context, a polycycle is a simple closed curve composed by a collection of singularities and regular orbits, inducing a first return map.
Kamila S. Andrade +2 more
openaire +2 more sources
Mathematics, 2022 A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an ...
Jesús Cortés +2 more
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Streamline topology and dilute particle dynamics in a Karman vortex street flow
, 2003 Three types of streamline topology in a Karman vortex street flow are shown under the variation of spatial parameters. For the motion of dilute particles in the K\'arm\'an vortex street flow, there exist a route of bifurcation to a chaotic orbit and more
Wu, ZB (reprint author), Acad Sinica, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100080, Peoples R China. +1 more
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Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region
, 2006 A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the ...
Furui, Sadataka, Niiya, Shohei
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Complex dynamics of an optically injected semiconductor laser : bifurcation theory and experiment [PDF]
, 2002 In this paper unprecedented agreement is reported between a theoretical two-dimensional bifurcation diagram and the corresponding experimental stability map of an optically injected semiconductor laser over a large range of relevant injection parameter ...
Krauskopf, B +3 more
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