Unstable manifolds
Finite-time Lagrangian transport analysis: stable and unstable manifolds of hyperbolic trajectories and finite-time Lyapunov exponents
... stable manifolds of hyperbolic tra- jectories (forward time FTLE fields) and unstable manifolds of hyperbolic trajectories (backward time FTLE ...
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Computation of hyperbolic trajectories and their stable and unstable manifolds for oceanographic flows represented as data sets
... and unstable manifold computa- tion algorithm described in Mancho et ...and unstable manifolds of hyperbolic trajectories, this one involves evolving in time (forward in time for the un- stable ...
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Insights into the three-dimensional Lagrangian geometry of the Antarctic polar vortex
... and unstable manifolds are the key kinemati- cal features responsible for the geometrical template govern- ing ...and unstable manifolds embedded in the 3-D ...and unstable ...
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A New Method to Predict Vessel Capsizing in a Realistic Seaway
... A recently developed approach, in the area of nonlinear oscillations, is used to analyze the single degree of freedom equation of motion of a floating unit (such as a ship) about a critical axis (such as roll). This ...
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Fluctuational escape from chaotic attractors
... and unstable manifolds of the saddle point O at ( 0 , 0 ) ...and unstable manifolds cross each other in a hierarchical sequence: the unstable manifold of the period-3 saddle crosses the ...
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Lagrangian structure of flows in the Chesapeake Bay: challenges and perspectives on the analysis of estuarine flows
... We first consider the surface flow near the mouth of the Chesapeake Bay which, due to its proximity to the open ocean, is characterized by the most energetic dynamics. In the examples shown in Fig. 7 we are interested in ...
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Investigating the connection between complexity of isolated trajectories and Lagrangian coherent structures
... this respect, the CM is similar to the FTLE method. For both methods, the hyperbolic trajectory can be estimated by overlaying the forward and backward fields on top of each other and looking for intersections between ...
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Noise induced escape from different types of chaotic attractor
... The prehistory of escape from the Lorenz attractor is defined by stable and unstable manifolds of the saddle center point, and the escape itself consists of crossing the saddle cycle sur[r] ...
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Noise induced escape from different types of chaotic attractor
... with non-fractal boundaries, are compared through measurements of optimal paths. It has been found that, for both types of attractor, there exists a most probable (optimal) escape trajectory, the prehistory of the escape ...
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Cylindrical manifolds and tube dynamics in the restricted three-body problem
... and unstable manifold tubes emanating from libration orbits in these necks are the objects governing the motion between ...and unstable manifolds, one can pick any initial condition in the ...
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Fluctuational transitions in periodically driven nonlinear oscillators
... and unstable manifolds of the saddle center point, and lies on the attractor; the second is the escape itself, crossing the saddle boundary cycle surrounding the stable point ...
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First-guess generation of solar sail interplanetary heteroclinic connections
... invariant manifolds, zero-dimensional, one-dimensional and five-dimensional, ...those manifolds is bounded in the same subspace of its origin, under the flow of the dynam- ical ...and unstable ...
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Diffeomorphisms on surfaces with a finite number of moduli
... number of orbits of non-transversal intersection of stable and unstable manifolds of every Proof... is at most.[r] ...
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Dynamical systems analysis of spike-adding mechanisms in transient bursts
... saddle- unstable slow manifolds that correspond to saddle-unstable sheets of ...three-dimensional unstable manifolds; this means that the lift-off from the asso- ciated slow ...
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Semi parabolic bifurcations in complex dimension two
... by unstable manifolds of periodic saddle ...the unstable manifold W u (Q) may be uniformized by C so that Q corresponds to 0 2 ...The unstable slice picture cannot be taken at the fixed point ...
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Lower semicontinuity of attractors for non autonomous dynamical systems
... Results on the upper semicontinuity of attractors with respect to perturbations (‘no explosion’) are relatively easy to prove, and are now essentially classical. Results on lower semicontinuity (‘no collapse’) are much ...
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Fluctuational escape from chaotic attractors in multistable systems
... saddle point belonging to the homoclinic structure whose stable and unstable manifolds are not tangent to each other. All other homoclinic points are buried in the FBB and inaccessible from the open ...
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Classification on manifolds
... manifold, and not in the usual Euclidean space. We are interested in classification of data which lie on this curved m-rep space. A major contribution of this work is to use the geometric information inherent to the ...
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Boehmians on manifolds
... character, there is no obvious way to construct Boehmians on manifolds. In this paper, we present a framework that seems to be well suited for Boehmians on manifolds. In- stead of defining Boehmians locally ...
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SOME CURVATURE CONDITIONS ON α COSYMPLECTIC MANIFOLDS
... symmetric manifolds was introduced and studied by ...Sasakian manifolds in 2004 and he also obtained some results on special weakly Ricci-symmetric Sasakian manifolds (see ...
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