A communication scheme based on the synchronization of two chaotic semiconductor lasers is experi... more A communication scheme based on the synchronization of two chaotic semiconductor lasers is experimentally tested. The Chaos in the single-mode semiconductor lasers is generated by means of an optoelectronic feedback. Synchronization of the chaos is achieved by coupling a fraction of the transmitter's output power into the driving current of the receiver. We present experimental results on the route to
Methods for estimating parameters of the Hindmarsh-Rose (HR) neuron model from a single time seri... more Methods for estimating parameters of the Hindmarsh-Rose (HR) neuron model from a single time series are investigated. Two approaches, (1) synchronization based parameter estimation and (2) adaptive observer, are presented. Both methods are applied to membrane potential data recorded from a single lateral pyloric neuron synaptically isolated from other neurons.
We address the question of bounds on the synchronization error for the case of nearly identical n... more We address the question of bounds on the synchronization error for the case of nearly identical nonlinear systems. It is pointed out that negative largest conditional Lyapunov exponents of the synchronization manifold are not sufficient to guarantee a small synchronization error and that one has to find bounds for the deformation of the manifold due to perturbations. We present an
We demonstrate a technique for shaping current inputs for the direct modulation of a semiconducto... more We demonstrate a technique for shaping current inputs for the direct modulation of a semiconductor laser for digital communication. The introduction of shaped current inputs allows for the suppression of relaxation oscillations and the avoidance of dynamical memory in the physical laser device, i.e., the output will not be influenced by previously communicated information. On the example of time-optimized bits,
All-optical switching with transverse optical patterns. Andrew MC Dawes, Lucas Illing, Joel A. Gr... more All-optical switching with transverse optical patterns. Andrew MC Dawes, Lucas Illing, Joel A. Greenberg, and Daniel J. Gauthier * Department of Physics, the Center for Nonlinear and Complex Systems, and the Fitzpatrick Institute ...
ABSTRACT Once thought of as a limitation to the performance of devices, deterministic chaos may b... more ABSTRACT Once thought of as a limitation to the performance of devices, deterministic chaos may be useful in a variety of applications, such as private communication and the generation of truly random numbers. We have developed a new electro-optic device that produces deterministic chaos where the time-scale of the fluctuations is on-the-order of one nanosecond. It is based on time-delayed incoherent feedback using an inexpensive and readily available semiconductor laser. We find that the laser undergoes an unusual transition from periodic behavior to extremely high-dimensional chaos as the gain in the time-delay loop is increased. The high-dimensional nature of the fluctuations will help increase the privacy of communication schemes and the time scale at which random numbers can be generated. We will report on the physics of the device and demonstrate how it can be used in simple applications.
A communication scheme based on the synchronization of two chaotic semiconductor lasers is experi... more A communication scheme based on the synchronization of two chaotic semiconductor lasers is experimentally tested. The Chaos in the single-mode semiconductor lasers is generated by means of an optoelectronic feedback. Synchronization of the chaos is achieved by coupling a fraction of the transmitter's output power into the driving current of the receiver. We present experimental results on the route to
Methods for estimating parameters of the Hindmarsh-Rose (HR) neuron model from a single time seri... more Methods for estimating parameters of the Hindmarsh-Rose (HR) neuron model from a single time series are investigated. Two approaches, (1) synchronization based parameter estimation and (2) adaptive observer, are presented. Both methods are applied to membrane potential data recorded from a single lateral pyloric neuron synaptically isolated from other neurons.
We address the question of bounds on the synchronization error for the case of nearly identical n... more We address the question of bounds on the synchronization error for the case of nearly identical nonlinear systems. It is pointed out that negative largest conditional Lyapunov exponents of the synchronization manifold are not sufficient to guarantee a small synchronization error and that one has to find bounds for the deformation of the manifold due to perturbations. We present an
We demonstrate a technique for shaping current inputs for the direct modulation of a semiconducto... more We demonstrate a technique for shaping current inputs for the direct modulation of a semiconductor laser for digital communication. The introduction of shaped current inputs allows for the suppression of relaxation oscillations and the avoidance of dynamical memory in the physical laser device, i.e., the output will not be influenced by previously communicated information. On the example of time-optimized bits,
All-optical switching with transverse optical patterns. Andrew MC Dawes, Lucas Illing, Joel A. Gr... more All-optical switching with transverse optical patterns. Andrew MC Dawes, Lucas Illing, Joel A. Greenberg, and Daniel J. Gauthier * Department of Physics, the Center for Nonlinear and Complex Systems, and the Fitzpatrick Institute ...
ABSTRACT Once thought of as a limitation to the performance of devices, deterministic chaos may b... more ABSTRACT Once thought of as a limitation to the performance of devices, deterministic chaos may be useful in a variety of applications, such as private communication and the generation of truly random numbers. We have developed a new electro-optic device that produces deterministic chaos where the time-scale of the fluctuations is on-the-order of one nanosecond. It is based on time-delayed incoherent feedback using an inexpensive and readily available semiconductor laser. We find that the laser undergoes an unusual transition from periodic behavior to extremely high-dimensional chaos as the gain in the time-delay loop is increased. The high-dimensional nature of the fluctuations will help increase the privacy of communication schemes and the time scale at which random numbers can be generated. We will report on the physics of the device and demonstrate how it can be used in simple applications.
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Papers by Lucas Illing