Felix A. Borotto

Felix A. Borotto
University of Concepción · Departamento de Física

Doctor

About

46
Publications
3,126
Reads
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331
Citations
Citations since 2016
12 Research Items
92 Citations
201620172018201920202021202205101520
201620172018201920202021202205101520
201620172018201920202021202205101520
201620172018201920202021202205101520
Additional affiliations
March 2000 - September 2013
University of Concepción
Position
  • Professor (Associate)
August 1998 - October 1999
University of Adelaide
Position
  • PhD Student

Publications

Publications (46)
Article
Full-text available
Intermittent turbulence is key for understanding the stochastic nonlinear dynamics of space, astrophysical, and laboratory plasmas. We review the theory of deterministic and stochastic temporal chaos in plasmas and discuss its link to intermittent turbulence observed in space plasmas. First, we discuss the theory of chaos, intermittency, and comple...
Preprint
Full-text available
Intermittent turbulence is key for understanding the stochastic nonlinear dynamics of space, astrophysical, and laboratory plasmas. We review the observation and theory of chaos and complexity in plasmas, and elucidate their links to intermittent plasma turbulence. First, we present evidence of magnetic reconnection and intermittent magnetic turbul...
Article
This paper presents an agent-based model for describing the increase the knowledge by accumulating the information needed to complete a learning task or objectives, based on phenomena studied by behavioral and learning scientists. From the simulations, the average increase rate in knowledge, the skewness and kurtosis of knowledge distributions, and...
Article
It has been pointed out by Patriarca et al. (2005) that the power-law tailed equilibrium distribution in heterogeneous kinetic exchange models with a distributed saving parameter can be resolved as a mixture of Gamma distributions corresponding to particular subsets of agents. Here, we propose a new four-parameter statistical distribution which is...
Article
Full-text available
Equatorial plasma depletions have significant impact on radio wave propagation in the upper atmosphere, causing rapid fluctuations in the power of radio signals used in telecommunication and GPS navigation, thus playing a crucial role in space weather impacts. Complex structuring and self-organization of equatorial plasma depletions involving bifur...
Preprint
Full-text available
It has been pointed out by Patriarca et al. (2005) that the power-law tailed equilibrium distribution in heterogeneous kinetic exchange models with a distributed saving parameter can be resolved as a mixture of Gamma distributions corresponding to particular subsets of agents. Here, we propose a new four-parameter statistical distribution which is...
Article
Full-text available
We study the influence of money distribution on the dynamics of Epstein’s model of civil violence. For this, we condition the hardship parameter distributed according to the distribution of money, which is a local parameter that determines the dynamics of the model of civil violence. Our experiments show that the number of outbursts of protest and...
Article
Full-text available
We show that the monthly recorded history (1866–2014) of the Southern Oscillation Index (SOI), a descriptor of the El Niño Southern Oscillation (ENSO) phenomenon, can be correctly described as a dynamic system supporting a potential nonlinear predictability well beyond the spring barrier. Long-term predictability is strongly connected to a detailed...
Article
Full-text available
We show that the monthly recorded history (1878-2013) of the Southern Oscillation Index (SOI), a descriptor of the El Ni\~no Southern Oscillation (ENSO) phenomenon, can be well described as a dynamic system that supports an average nonlinear predictability well beyond the spring barrier. The predictability is strongly linked to a detailed knowledge...
Article
Full-text available
We develop a nonlinear theory for self-modulation of a circularly polarized electromagnetic wave in a relativistic hot weakly magnetized electron-positron plasma. The case of parallel propagation along an ambient magnetic field is considered. A nonlinear Schrödinger equation is derived for the complex wave amplitude of a self-modulated wave packet....
Article
Full-text available
A new transition mechanism to Alfvén chaos via boundary crisis is reported. This crisis appears in a complex plasma region in the presence of a large number of coexisting attractors. We characterize an example of double boundary crises using the unstable periodic orbit determined from the numerical solution of the driven-dissipative derivative nonl...
Article
A numerical study of an interior crisis of a large-amplitude Alfvén wave described by the driven-dissipative derivative nonlinear Schrödinger equation, in the low-dimensional limit, is reported. An example of Alfvén interior crisis is characterized using the unstable periodic orbits and their associated invariant stable and unstable manifolds in th...
Article
Full-text available
We propose an alternative approach for the embedding space reconstruction method for short time series. An m-dimensional embedding space is reconstructed with a set of time delays including the relevant time scales characterizing the dynamical properties of the system. By using a maximal predictability criterion a d-dimensional subspace is selected...
Article
Full-text available
The temporal evolution of Alfvén intermittent turbulence in cosmic plasmas is studied. The chaotic dynamics of a driven-dissipative Alfvén system is determined by numerically solving the derivative non-linear Schrödinger equation in the low-dimensional limit. Two types of Alfvén intermittent turbulence are identified: Pomeau-Manneville intermittenc...
Article
Full-text available
The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied. A bifurcation diagram is constructed, by varying the driver amplitude, to identify a number of nonlinear dynamical processes including saddle-node bifurc...
Article
Intermittent behaviour of economic dynamics is studied by a nonlinear model of business cycles. Numerical simulations show that after an economic system evolves from order to chaos, the system keeps its memory before the transition and its time series alternates episodically between periods of low-level (quiescent) and high-level (bursting) activit...
Article
There is increasing observational evidence of nonlinear wave–wave interactions in space and astrophysical plasmas. We first review a number of theoretical models of nonlinear wave–wave interactions which our group has developed in the past years. We next describe a nonlinear three-mode truncated model of Alfvén waves, involving resonant interaction...
Article
Full-text available
A numerical study is performed on a forced-oscillator model of nonlinear business cycles. An attractor merging crisis due to a global bifurcation is analyzed using the unstable periodic orbits and their associated stable and unstable manifolds. Characterization of crisis can improve our ability to forecast sudden major changes in economic systems.
Article
Chaotic transitions of nonlinear Alfvén waves via boundary and interior crises are studied. Alfvén crises are characterized using the unstable periodic orbits and their stable and unstable manifolds. In a period-3 periodic window of the bifurcation diagram, we identify a period-9 unstable periodic orbit that is responsible for both boundary and int...
Article
Chaotic transitions of nonlinear Alfvén waves via boundary and interior crises are studied. Alfvén crises are characterized using the unstable periodic orbits and their stable and unstable manifolds. In a period-3 periodic window of the bifurcation diagram, we identify a period-9 unstable periodic orbit that is responsible for both boundary and int...
Article
Full-text available
A new transition mechanism to Alfvén chaos via boundary crisis in space and astrophysical plasmas is reported. This crisis appears in a complex plasma region in the presence of a large number of coexisting attractors. We characterize an example of double boundary crises using the unstable periodic orbit determined from the numerical solution of the...
Article
Nonthermal magnetospheric radio emissions provide the radio signatures of solar-terrestrial connection and may be used for space weather forecasting. A three-wave model of auroral radio emissions at the fundamental plasma frequency was proposed by Chian et al. (1994) involving resonant interactions of Langmuir, whistler and Alfvén waves. Chaos can...
Article
Space plasmas are dominated by waves, instabilities and turbulence. Dynamical systems approach offers powerful mathematical and computational techniques to probe the origin and nature of space environment turbulence. Using the nonlinear dynamics tools such as the bifurcation diagram and Poincaré maps, we study the transition from order to chaos, fr...
Article
Full-text available
The nonlinear evolution of a large-amplitude left-hand circularly polarized Alfvén wave propagating along an ambient magnetic field in the solar atmosphere is investigated by studying numerically the stationary solutions of the derivative nonlinear Schrödinger equation, in the presence of dissipation and external forcing. The onset of Alfvén turbul...
Article
Full-text available
A three-wave model of auroral radio emissions near the electron plasma frequency was proposed by Chian et al. (1994) involving resonant interactions of Langmuir, whistler and Alfvén waves. Chaos can occur in the nonlinear evolution of this three-wave process in the magnetosphere. In particular, two types of intermittency, due to either local or glo...
Article
Alfvén waves are important for heating and particle acceleration in space, astrophysical and laboratory plasmas. Chaos and intermittent turbulence of Alfvén waves have been observed in the solar wind. We show that the onset/destruction of Alfvén chaos can occur via a transition mechanism known as boundary crisis. A crisis is a global bifurcation wh...
Conference Paper
Electron cyclotron maser emission is an accepted physical mechanism for generating coherent planetary and stellar radio emissions. Observational data has indicated evidence of nonlinear and chaotic temporal variability in some cosmic masers such as solar microwave spikes. The nonlinear and chaotic characteristics of cosmic masers can be attributed...
Article
The chaotic dynamics of a driven-dissipative Alfvén system is studied by analyzing the stationary solutions of the derivative nonlinear Schrödinger equation. We demonstrate that there are two types of Alfvén intermittency. In the Pomeau-Manneville intermittency, the time series of magnetic field fluctuations switches intermittently between nearly p...
Article
Narrowband spiky radio bursts, at decimetric and decametric wavelengths, with high degree of circular polarization are observed in solar flares. We discuss a new plasma emission mechanism for solar radio spikes. It is shown that narrowband radio bursts of right- and left-hand circular polarizations can be produced via nonlinear conversion of Langmu...
Article
The possibility of nonlinear interaction between Langmuir waves and ion–acoustic waves in the solar wind has received considerable interest in the last years. However, little attention has been paid to the possibility of nonlinear coupling between Langmuir waves and whistler waves in the interplanetary medium. Close temporal correlation between hig...
Article
A dynamical theory of nonlinear three-wave interactions involving Langmuir, whistler and Alfvén waves in the planetary magnetospheres is developed. By assuming linear growth for the Langmuir wave and linear damping for both whistler and Alfvén waves, the wave triplet is shown to evolve temporarily from order to chaos via either the period doubling...
Conference Paper
Full-text available
The theory and observation of nonlinear wave coupling phenomena in solar-system plasmas are reviewed. Rocket and satellite observations have provided evidence of nonlinear wave interactions in space plasmas, in particular, in relation to the generation and propagation of radio waves in solar corona, interplanetary medium and Earth's magnetosphere....
Article
Full-text available
. Recent interplanetary observations presented evidence of simultaneous excitation of high-frequency Langmuir waves and low-frequency electromagnetic whistler waves in the magnetic holes of the solar wind. In this letter, we formulate a broadband theory of the interplanetary Langmuir-whistler events. We show that whistler waves can grow exponential...
Article
Full-text available
Recent interplanetary observations presented evidence of simultaneous excitation of high-frequency Langmuir waves and low-frequency electromagnetic whistler waves in the magnetic holes of the solar wind. In this letter, we formulate a broadband theory of the interplanetary Langmuir-whistler events. We show that whistler waves can grow exponentially...
Article
Full-text available
A random-phase analysis of nonlinear coupling of Langmuir waves with electromagnetic whistler waves is presented. The kinetic equations for wave occupation numbers of three-wave interactions are written in a form similar to the radiative transfer equations, and the corresponding growth rate for whistler waves is calculated by assuming the Langmuir...
Article
Este trabalho tem por objetivo estudar a dinâmica caótica das ondas de Alfvén no vento solar. Este estudo é realizado em duas partes. Na primeira, motivado pelas observações simultâneas de ondas de Langmuir e ondas eletromagnéticas de baixa freqüência em buracos magnéticos no vento solar, propomos uma teoria baseada no processo de interação não-lin...

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