166 citations · 542 across the 24 of their papers we have counts for
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The Topological Entropy of One-dimensional Maps: Approximations and Bounds
N. J. Balmforth, E. A. Spiegel, C. Tresser
We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bou…
Chaotic Pulse Trains
N. J. Balmforth, G. R. Ierley, E. A. Spiegel
We study a third-order nonlinear ordinary differential equation whose solutions, under certain specific conditions, are individual pulses. These correspond to homoclinic orbits in…
Advection of vector fields by chaotic flows
N. J. BALMFORTH, P. CVITANOVIC, G. R. IERLEY +2
We have introduced a new transfer operator for chaotic flows whose leading eigenvalue yields the dynamo rate of the fast kinematic dynamo and applied cycle expansion of the Fredhol…