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Publications Influence

From attractor to chaotic saddle: a tale of transverse instability

- P. Ashwin, J. Buescu, I. Stewart
- Mathematics
- 1 May 1996

Suppose that a dynamical system possesses an invariant submanifold, and the restriction of the system to this submanifold has a chaotic attractor A. Under which conditions is A an attractor for the… Expand

287 18- PDF

Bubbling of attractors and synchronisation of chaotic oscillators

- P. Ashwin, J. Buescu, I. Stewart
- Physics
- 26 September 1994

We present a system of two coupled identical chaotic electronic circuits that exhibit a blowout bifurcation resulting in loss of stability of the synchronised state. We introduce the concept of… Expand

342 4- PDF

Robust Simulations of Turing Machines with Analytic Maps and Flows

- D. Graça, M. L. Campagnolo, J. Buescu
- Computer Science
- CiE
- 8 June 2005

TLDR

41 4- PDF

Liapunov stability and adding machines

- J. Buescu, I. Stewart
- Mathematics
- 1 April 1995

In Chapter 1 we discussed several notions of stability for compact invariant sets of dynamical systems. Here we shall prove that, under very general hypotheses, the set of connected components of a… Expand

66 4

Computability with polynomial differential equations

- D. Graça, M. L. Campagnolo, J. Buescu
- Mathematics, Computer Science
- Adv. Appl. Math.
- 1 March 2008

TLDR

55 2- PDF

Exotic Attractors: From Liapunov Stability to Riddled Basins

- J. Buescu
- Mathematics
- 18 November 1997

1 Attractors in Dynamical Systems.- 1.1 Introduction.- 1.2 Basic definitions.- 1.3 Topological and dynamical consequences.- 1.4 Attractors.- 1.5 Examples and counterexamples.- 1.6 Historical remarks… Expand

26 2

Symmetry-breaking as an origin of species

- J. Buescu, S. Castro, Ap Dias, Isabel S. Labouriau
- Biology
- 2003

A central problem in evolutionary biology is the occurrence in the fossil record of new species of organisms. Darwin's view, in The Origin of Species, was that speciation is the result of gradual… Expand

14 2

On differentiability and analyticity of positive definite functions

We derive a set of differential inequalities for positive definite functions based on previous results derived for positive definite kernels by purely algebraic methods. Our main results show that… Expand

18 2

Eigenvalues of Positive Definite Integral Operators on Unbounded Intervals

Let k(x, y) be the positive definite kernel of an integral operator on an unbounded interval of ℝ. If k belongs to class defined below, the corresponding operator is compact and trace class. We… Expand

8 1

Local stationarity of L2(ℝ) processes

- Francisco M. Garcia, I.M.G. Lourtie, J. Buescu
- Mathematics, Computer Science
- IEEE International Conference on Acoustics…
- 13 May 2002

TLDR

2 1