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Theoretical and experimental study of discrete behavior of Shilnikov chaos in a CO 2 laser (2001)

Pisarchik, A.N. ; Meucci, R. ; Arecchi, F.T.

Springer

The European physical journal 13 (2001), S. 385-391

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ISSN: 1434-6079

Keywords: PACS. 05.45.Ac Low-dimensional chaos – 05.45.Pq Numerical simulations of chaotic models – 42.55.Lt Gas lasers including excimer and metal-vapor lasers

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract: The discrete distribution of homoclinic orbits has been investigated numerically and experimentally in a CO2 laser with feedback. The narrow chaotic ranges appear consequently when a laser parameter (bias voltage or feedback gain) changes exponentially. Up to six consecutive chaotic windows have been observed in the numerical simulation as well as in the experiments. Every subsequent increase in the number of loops in the upward spiral around the saddle focus is accompanied by the appearance of the corresponding chaotic window. The discrete character of homoclinic chaos is also demonstrated through bifurcation diagrams, eigenvalues of the fixed point, return maps, and return times of the return maps.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s100530170257

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Experimental evidence of deterministic coherence resonance in coupled chaotic systems with frequency mismatch (2016)

M. A. García-Vellisca, A. N. Pisarchik, and R. Jaimes-Reátegui

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-16

Description: Author(s): M. A. García-Vellisca, A. N. Pisarchik, and R. Jaimes-Reátegui We present the experimental evidence of deterministic coherence resonance in unidirectionally coupled two and three Rössler electronic oscillators with mismatch between their natural frequencies. The regularity in both the amplitude and the phase of chaotic fluctuations is experimentally proven by t… [Phys. Rev. E 94, 012218] Published Fri Jul 15, 2016

Keywords: Nonlinear Dynamics and Chaos

Print ISSN: 1539-3755

Electronic ISSN: 1550-2376

Topics: Physics

Published by American Physical Society (APS)

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Extreme events in systems with discontinuous boundaries (2018)

Suresh Kumarasamy and Alexander N. Pisarchik

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2018-09-05

Description: Author(s): Suresh Kumarasamy and Alexander N. Pisarchik We describe a class of extreme events emerging in systems with discontinuous boundaries that exhibit stick-slip dynamics. This kind of systems is capable of generating extreme events when the system trajectory sticks to a sliding set and slides for a relatively large distance along the discontinuous... [Phys. Rev. E 98, 032203] Published Tue Sep 04, 2018

Keywords: Nonlinear Dynamics and Chaos

Print ISSN: 1539-3755

Electronic ISSN: 1550-2376

Topics: Physics

Published by American Physical Society (APS)

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Separation of coexisting dynamical regimes in multistate intermittency based on wavelet spectrum energies in an erbium-doped fiber laser (2016)

Alexander E. Hramov, Alexey A. Koronovskii, Olga I. Moskalenko, Maksim O. Zhuravlev, Rider Jaimes-Reategui, and Alexander N. Pisarchik

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-24

Description: Author(s): Alexander E. Hramov, Alexey A. Koronovskii, Olga I. Moskalenko, Maksim O. Zhuravlev, Rider Jaimes-Reategui, and Alexander N. Pisarchik We propose a method for the detection and localization of different types of coexisting oscillatory regimes that alternate with each other leading to multistate intermittency. Our approach is based on consideration of wavelet spectrum energies. The proposed technique is tested in an erbium-doped fib… [Phys. Rev. E 93, 052218] Published Mon May 23, 2016

Keywords: Nonlinear Dynamics and Chaos

Print ISSN: 1539-3755

Electronic ISSN: 1550-2376

Topics: Physics

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Multistate intermittency and extreme pulses in a fiber laser (2012)

A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2012-11-30

Description: Author(s): A. N. Pisarchik, R. Jaimes-Reátegui, R. Sevilla-Escoboza, and G. Huerta-Cuellar In our recent Letter [ Phys. Rev. Lett. 107 274101 (2011) ], we demonstrated that slow random perturbations of a system parameter were responsible for the emergence of rogue waves in a fiber laser with coexisting attractors. In this paper we investigate how the probability of a particular state to a... [Phys. Rev. E 86, 056219] Published Thu Nov 29, 2012

Keywords: Chaos and pattern formation

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Electronic ISSN: 1550-2376

Topics: Physics

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Deterministic coherence resonance in coupled chaotic oscillators with frequency mismatch (2015)

A. N. Pisarchik and R. Jaimes-Reátegui

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-11-04

Description: Author(s): A. N. Pisarchik and R. Jaimes-Reátegui A small mismatch between natural frequencies of unidirectionally coupled chaotic oscillators can induce coherence resonance in the slave oscillator for a certain coupling strength. This surprising phenomenon resembles “stabilization of chaos by chaos,” i.e., the chaotic driving applied to the chaoti… [Phys. Rev. E 92, 050901(R)] Published Mon Nov 02, 2015

Keywords: Nonlinear Dynamics and Chaos

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Topics: Physics

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Synchronization of intermittent behavior in ensembles of multistable dynamical systems (2015)

R. Sevilla-Escoboza, J. M. Buldú, A. N. Pisarchik, S. Boccaletti, and R. Gutiérrez

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-03-04

Description: Author(s): R. Sevilla-Escoboza, J. M. Buldú, A. N. Pisarchik, S. Boccaletti, and R. Gutiérrez We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the basins of attraction of coexisting synchronous states. Then, w... [Phys. Rev. E 91, 032902] Published Tue Mar 03, 2015

Keywords: Nonlinear Dynamics and Chaos

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Electronic ISSN: 1550-2376

Topics: Physics

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