From the 1 of 8 linked papers with an AI index.
8 papers
Recurrence and anti-recurrence patterns reveal an antiperiodic fingerprint that survives into chaos in the Duffing--Holmes oscillator
Arturo C. Marti, Edson D. Leonel
The paper introduces anti-recurrence plots to detect antiperiodic symmetry in the forced Duffing–Holmes oscillator, showing that this symmetry persists even in chaotic two-well reg…
Antiperiodic orbits and spontaneous symmetry breaking in the Duffing--Holmes oscillator
Arturo C. Marti, Edson D. Leonel
We investigate the origin and distribution of antiperiodicity -- oscillations satisfying -- in the periodically driven Duffing--Holmes oscillator, combining analytic…
From order to chaos: Bifurcations and parameter space organization in an analog Duffing-Holmes circuit
Patricia R. Gargiulo, Caracé Gutiérrez, Juan P. Tarigo +2
We present an experimental study of the Duffing--Holmes oscillator with a double-well potential, implemented as an analog electronic circuit under periodic external forcing. By sys…
Elastic and Viscous Effects in Viscoelastic Flows: Elucidating the Distinct Roles of the Deborah and Weissenberg Numbers
Luis G. Sarasúa, Daniel Freire Caporale, Arturo C. Marti
The interpretation of the parameters appearing in constitutive models for viscoelastic fluids is essential for analyzing theoretical predictions and understanding the origin of phe…
Phase-space organization of the elastic pendulum: chaotic fraction, energy exchanges, and the order-chaos-order transition
Juan P. Tarigo, Cecilia Stari, Edson D. Leonel +1
We study the phase-space organization of the planar elastic pendulum as a function of its two dimensionless control parameters: the reduced energy and the squared frequency rat…
Describing a Universal Critical Behavior in a transition from order to chaos
Edson D. Leonel, Mayla A. M. de Almeida, Juan Pedro Tarigo +2
We present a comprehensive discussion of a transition from integrability to non-integrability in an oval billiard with a static boundary. This transition is controlled by a deforma…