Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Blackmore, Denis"'
Autor:
Rahman, Aminur, Blackmore, Denis
Peixoto's structural stability and density theorems represent milestones in the modern theory of dynamical systems and their applications. Despite the importance of these theorems, they are often treated rather superficially, if at all, in upper leve
Externí odkaz:
http://arxiv.org/abs/2302.04941
Autor:
Rahman, Aminur, Blackmore, Denis
Publikováno v:
Mod. Phys. Lett. B (2020)
Over the past decade the study of fluidic droplets bouncing and skipping (or ``walking'') on a vibrating fluid bath has gone from an interesting experiment to a vibrant research field. The field exhibits challenging fluids problems, potential connect
Externí odkaz:
http://arxiv.org/abs/2011.08796
Publikováno v:
SIGMA 15 (2019), 079, 20 pages
Using diffeomorphism group vector fields on $\mathbb{C}$-multiplied tori and the related Lie-algebraic structures, we study multi-dimensional dispersionless integrable systems that describe conformal structure generating equations of mathematical phy
Externí odkaz:
http://arxiv.org/abs/1902.08111
We show that there is a mildly nonlinear three-dimensional system of ordinary differential equations - realizable by a rather simple electronic circuit - capable of producing a generalized attracting horseshoe map. A system specifically designed to h
Externí odkaz:
http://arxiv.org/abs/1811.06257
Autor:
Rahman, Aminur, Blackmore, Denis
We identify two rather novel types of (compound) dynamical bifurcations generated primarily by interactions of an invariant attracting submanifold with stable and unstable manifolds of hyperbolic fixed points. These bifurcation types - inspired by re
Externí odkaz:
http://arxiv.org/abs/1708.07593
It has been observed through experiments and SPICE simulations that logical circuits based upon Chua's circuit exhibit complex dynamical behavior. This behavior can be used to design analogs of more complex logic families and some properties can be e
Externí odkaz:
http://arxiv.org/abs/1702.04838
A generalized attracting horseshoe is introduced as a new paradigm for describing chaotic strange attractors (of arbitrary finite rank) for smooth and piecewise smooth maps f from Q to Q, where Q is a homeomorph of the unit interval in real m-space f
Externí odkaz:
http://arxiv.org/abs/1611.04133
Autor:
Rahman, Aminur, Blackmore, Denis
Bouncing droplets on a vibrating fluid bath can exhibit wave-particle behavior, such as being propelled by interacting with its own wave field. These droplets seem to walk across the bath, and thus are dubbed walkers. Experiments have shown that walk
Externí odkaz:
http://arxiv.org/abs/1507.08057
Autor:
Rahman, Aminur, Blackmore, Denis
Logical RS flip-flop circuits are investigated once again in the context of discrete planar dynamical systems, but this time starting with simple bilinear (minimal) component models based on fundamental principles. The dynamics of the minimal model i
Externí odkaz:
http://arxiv.org/abs/1507.03065