Homoclinic dynamics in experimental Shil’nikov attractors

R. Herrero; R. Pons; J. Farjas; F. Pi; G. Orriols

doi:10.1103/PhysRevE.53.5627

Homoclinic dynamics in experimental Shil’nikov attractors

R. Herrero, R. Pons, J. Farjas, F. Pi, G. Orriols

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

21 Citations (Scopus)

Abstract

We report the experimental observation of Shil’nikov-type attractors in the reflection of optothermal nonlinear devices, evidencing homoclinic phenomena associated with a variety of saddle set configurations. Recurrent phase-space operations underlying the homoclinic dynamics are evidenced by analysis of proper Poincaré sections. In the case of a saddle limit cycle, deterministic aperiodic evolutions are pointed out clearly by means of high-order multibranched first-return maps. © 1996 The American Physical Society.

Original language	English
Pages (from-to)	5627-5636
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	53
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.53.5627
Publication status	Published - 1 Jan 1996

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10.1103/PhysRevE.53.5627

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title = "Homoclinic dynamics in experimental Shil{\textquoteright}nikov attractors",

abstract = "We report the experimental observation of Shil{\textquoteright}nikov-type attractors in the reflection of optothermal nonlinear devices, evidencing homoclinic phenomena associated with a variety of saddle set configurations. Recurrent phase-space operations underlying the homoclinic dynamics are evidenced by analysis of proper Poincar{\'e} sections. In the case of a saddle limit cycle, deterministic aperiodic evolutions are pointed out clearly by means of high-order multibranched first-return maps. {\textcopyright} 1996 The American Physical Society.",

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AU - Pons, R.

AU - Farjas, J.

AU - Pi, F.

AU - Orriols, G.

PY - 1996/1/1

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N2 - We report the experimental observation of Shil’nikov-type attractors in the reflection of optothermal nonlinear devices, evidencing homoclinic phenomena associated with a variety of saddle set configurations. Recurrent phase-space operations underlying the homoclinic dynamics are evidenced by analysis of proper Poincaré sections. In the case of a saddle limit cycle, deterministic aperiodic evolutions are pointed out clearly by means of high-order multibranched first-return maps. © 1996 The American Physical Society.

AB - We report the experimental observation of Shil’nikov-type attractors in the reflection of optothermal nonlinear devices, evidencing homoclinic phenomena associated with a variety of saddle set configurations. Recurrent phase-space operations underlying the homoclinic dynamics are evidenced by analysis of proper Poincaré sections. In the case of a saddle limit cycle, deterministic aperiodic evolutions are pointed out clearly by means of high-order multibranched first-return maps. © 1996 The American Physical Society.

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DO - 10.1103/PhysRevE.53.5627

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SP - 5627

EP - 5636

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 6

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Homoclinic dynamics in experimental Shil’nikov attractors

Abstract

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