Results 11 to 20 of about 166,905,475 (204)

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A., Robinson, James C., CARVALHO, Alexandre N., Carvalho, Alexandre Nolasco de   +3 more
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Bifurcations of piecewise smooth flows:perspectives, methodologies and open problems [PDF]

, 2012
In this paper the theory of bifurcations in piecewise smooth flows is critically surveyed. The focus is on results that hold in arbitrarily (but finitely) many dimensions, highlighting significant areas where a detailed understanding is presently lacking ...
A. Colombo, M. R. Jeffrey, DI BERNARDO, MARIO, S. J. Hogan, Hogan, S. J., M. di Bernardo, Colombo, Alessandro, Jeffrey, MR, S.J. Hogan, M.R. Jeffrey, di Bernardo, M   +10 more
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]

, 2009
The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM, Szalai, Róbert, Osinga, Hinke, Szalai, R   +3 more
core   +1 more source

The two-fold singularity of discontinuous vector fields [PDF]

, 2009
When a vector field in 3 dimensions is discontinuous on a smooth codimension one surface, it may be simultaneously tangent to both sides of the surface at generic isolated points (singularities).
M. R. Jeffrey, COLOMBO, ALESSANDRO, Jeffrey, MR, Jeffrey, Mike R, Colombo, A   +4 more
core   +1 more source

Stability calculations for piecewise-smooth delay equations [PDF]

, 2008
This paper describes a new method for computing the stability of nonsmooth periodic orbits of piecewise-smooth dynamical systems with delay. Stability computations for piecewise-smooth dynamical systems without delay have previously been performed using ...
Barton, DAW
core   +1 more source

Two-folds in nonsmooth dynamical systems [PDF]

, 2009
In a three dimensional dynamical system with a discontinuity along a codimension one switching manifold, orbits of the system may be tangent to both sides of the switching manifold generically at isolated points.
Mike R Jeffrey, Jeffrey, Mike R
core   +1 more source

Dimension theory of random self-similar and self-affine constructions [PDF]

, 2017
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic mathematical concepts from dynamical systems, measure theory, dimension theory and probability theory.
Troscheit, Sascha, Sascha Troscheit
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Sliding bifurcations and non-determinism in systems with switching [PDF]

, 2011
Dynamical events associated with loss of determinacy in piecewise-smooth dynamical systems are reviewed. The causes of non-determinacy are discussed, and the conditions for their occurence in general systems are derived. These events can be characterized
Mike R Jeffrey, Jeffrey, Mike R
core   +1 more source

Parametrization of global attractors experimental observations and turbulence [PDF]

, 2007
This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
core   +1 more source

Coding of substitution dynamical systems as shifts of finite type

, 2014
We develop a theory that allows us to code dynamical systems induced by primitive substitutions continuously as shifts of finite type in many different ways. The well-known prefix-suffix coding turns out to correspond to one special case.
Surer, Paul, Surer, Paul [UNESP]
core   +2 more sources