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Publications Influence

The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model

We present a theoretical model which is used to explain the intersegmental coordination of the neural networks responsible for generating locomotion in the isolated spinal cord of lamprey.A… Expand

511 20

Tree size frequency distributions, plant density, age and community disturbance

- K. Niklas, J. Midgley, R. Rand
- Biology
- 1 May 2003

We show that explicit mathematical and biological relationships exist among the scaling exponents and the allometric constants (a and b, respectively) of log–log linear treecommunity size frequency… Expand

124 20- PDF

Lecture Notes on Nonlinear Vibrations

- R. Rand
- Mathematics
- 1 May 2012

This manuscript is among the initial offerings being published as part of a new approach to scholarly publishing. The manuscript is freely available from the The online version of this work is… Expand

154 19- PDF

Synchronous Locking of Tidally Evolving Satellites

- B. Gladman, D. D. Quinn, P. Nicholson, R. Rand
- Physics
- 1 July 1996

Abstract Satellite spin states evolve under the action of solid body torques and tidal forces. The tidal effects result in a damping of fast spin rates and, ultimately, in the locking of the spin… Expand

86 13

Transition Curves for the Quasi-Periodic Mathieu Equation

TLDR

87 8- PDF

Averaging using elliptic functions: approximation of limit cycles

- V. Coppola, R. Rand
- Mathematics
- 1 September 1990

SummaryWe apply the method of averaging to first order in the small parameter ε to the autonomous system
$$x'' + \alpha x + \beta x^3 + \varepsilon g\left( {x, x'} \right) = 0$$
where we do not… Expand

118 8

A Finite Element Shell Analysis of Guard Cell Deformations

- J. Cooke, J. Baerdemaeker, R. Rand, H. Mang
- Engineering
- 1976

ABSTRACT IN this paper the width of the stomatal aperture, as postulated by von Mohl in 1856, is shown to be a function of the hydrostatic (turgor) pressure in the guard cells, Pg, and the pressure,… Expand

69 7

Bifurcation of periodic motions in two weakly coupled van der Pol oscillators

Abstract We study a pair of weakly coupled van der Pol oscillators and investigate the bifurcations of phase-locked periodic motions which occur as the coupling coefficients are varied. Perturbation… Expand

201 6

MODAL ANALYSIS OF A CRACKED BEAM

- Mandar K. Chati, R. Rand, S. Mukherjee
- Mathematics
- 23 October 1997

Abstract This paper addresses the problem of vibrations of a cracked beam. In general, the motion of such a beam can be very complex. This phenomenon can be attributed to the presence of the… Expand

213 6

The transition to chaos in a simple mechanical system

Abstract A simple mechanical device and its response to periodic excitation is considered. The system consists of an inverted pendulum with rigid barriers which limit the amplitude variation from the… Expand

119 5

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