The Experts below are selected from a list of 204951 Experts worldwide ranked by ideXlab platform
Christian Mira - One of the best experts on this subject based on the ideXlab platform.
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Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future
International Journal of Bifurcation and Chaos, 1997Co-Authors: Christian MiraAbstract:This paper does not pretend to present a comprehensive history of Nonlinear Dynamics. Its purpose is more modest and limited to some historical aspects of this topic. The first part of this paper deals with the early foundations of Nonlinear Dynamics (essentially the Poincare and Lyapunov results). The succeeding sections cover the period 1910–1970 and describes the development and contributions of the theory, elaborated by Birkhoff, the Andronov school, and the Krylov–Bogoliubov school. After 1970, the development of new results in Nonlinear Dynamics has become "explosive". A part of these results is presented in a summarized form in this paper. The last section suggests some possible trends for future research.
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Some historical aspects of Nonlinear Dynamics—Possible trends for the future
Journal of the Franklin Institute, 1997Co-Authors: Christian MiraAbstract:Abstract This paper does not pretend to present a comprehensive history of Nonlinear Dynamics. Its purpose is more modest and limited to some historical aspects of this topic. The first part of this paper deals with the early foundations of Nonlinear Dynamics (essentially the Poincare and Lyapunov results). The succeeding sections cover the period 1910–1970 and describe the development and contributions of the theory, characterized by the Birkhoff-Andronov school, and the Krylov-Bogoliubov school. After 1970 , the development of new results in Nonlinear Dynamics has become ‘explosive’. A part of these results is presented in a summarized form. The last section suggests some possible trends for future research.
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Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future
International Journal of Bifurcation and Chaos, 1997Co-Authors: Christian MiraAbstract:This paper does not pretend to present a comprehensive history of Nonlinear Dynamics. Its purpose is more modest and limited to some historical aspects of this topic. The first part of this paper deals with the early foundations of Nonlinear Dynamics (essentially the Poincaré and Lyapunov results). The succeeding sections cover the period 1910–1970 and describes the development and contributions of the theory, elaborated by Birkhoff, the Andronov school, and the Krylov–Bogoliubov school. After 1970, the development of new results in Nonlinear Dynamics has become "explosive". A part of these results is presented in a summarized form in this paper. The last section suggests some possible trends for future research.
Alon Ascoli - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear Dynamics of a Locally-Active Memristor
IEEE Transactions on Circuits and Systems I: Regular Papers, 2015Co-Authors: Alon Ascoli, Hannes Mähne, Ronald Tetzlaff, Stefan Slesazeck, Thomas MikolajickAbstract:This work elucidates some aspects of the Nonlinear Dynamics of a thermally-activated locally-active memristor based on a micro-structure consisting of a bi-layer of Nb2O5 and Nb2Ox materials. Through application of techniques from the theory of Nonlinear Dynamics to an accurate and simple mathe- matical model for the device, we gained a deep insight into the mechanisms at the origin of the emergence of local activity in the memristor. This theoretical study sets a general constraint on the biasing arrangement for the stabilization of the negative differen- tial resistance effect in locally active memristors and provides a theoretical justification for an unexplained phenomenon observed atHPlabs.As proof-of-principle, the constraint was used to enable amemristor to induce sustained oscillations in a one port cell. The capability of the oscillatory cell to amplify infinitesimal fluctua- tions of energy was theoretically and experimentally proved.
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Nonlinear Dynamics of memristor oscillators
IEEE Transactions on Circuits and Systems I: Regular Papers, 2011Co-Authors: Fernando Corinto, Alon Ascoli, Marco GilliAbstract:A thorough investigation of the Nonlinear Dynamics of networks of memristor oscillators is a key step towards the design of systems based upon them, such as neuromorphic circuits and dense nonvolatile memories. A wide gamut of complex dynamic behaviors, including chaos, is observed even in a simple network of memristor oscillators, proposed here as a good candidate for the realization of oscillatory associative and dynamic memories. A detailed study of number and stability of all periodic and nonperiodic oscillations appearing in the network may not leave aside a preliminary deep understanding of the local and global behavior of the basic oscillator. Depending on two bifurcation parameters, controlling memristor Nonlinearity, the oscillator exhibits different dynamic behaviors, analyzed here through application of state-of-the-art techniques from the theory of Nonlinear Dynamics to the oscillator model.
Marco Gilli - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear Dynamics of memristor oscillators
IEEE Transactions on Circuits and Systems I: Regular Papers, 2011Co-Authors: Fernando Corinto, Alon Ascoli, Marco GilliAbstract:A thorough investigation of the Nonlinear Dynamics of networks of memristor oscillators is a key step towards the design of systems based upon them, such as neuromorphic circuits and dense nonvolatile memories. A wide gamut of complex dynamic behaviors, including chaos, is observed even in a simple network of memristor oscillators, proposed here as a good candidate for the realization of oscillatory associative and dynamic memories. A detailed study of number and stability of all periodic and nonperiodic oscillations appearing in the network may not leave aside a preliminary deep understanding of the local and global behavior of the basic oscillator. Depending on two bifurcation parameters, controlling memristor Nonlinearity, the oscillator exhibits different dynamic behaviors, analyzed here through application of state-of-the-art techniques from the theory of Nonlinear Dynamics to the oscillator model.
Fernando Corinto - One of the best experts on this subject based on the ideXlab platform.
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Nonlinear Dynamics of memristor oscillators
IEEE Transactions on Circuits and Systems I: Regular Papers, 2011Co-Authors: Fernando Corinto, Alon Ascoli, Marco GilliAbstract:A thorough investigation of the Nonlinear Dynamics of networks of memristor oscillators is a key step towards the design of systems based upon them, such as neuromorphic circuits and dense nonvolatile memories. A wide gamut of complex dynamic behaviors, including chaos, is observed even in a simple network of memristor oscillators, proposed here as a good candidate for the realization of oscillatory associative and dynamic memories. A detailed study of number and stability of all periodic and nonperiodic oscillations appearing in the network may not leave aside a preliminary deep understanding of the local and global behavior of the basic oscillator. Depending on two bifurcation parameters, controlling memristor Nonlinearity, the oscillator exhibits different dynamic behaviors, analyzed here through application of state-of-the-art techniques from the theory of Nonlinear Dynamics to the oscillator model.
Marwa M. Saleh - One of the best experts on this subject based on the ideXlab platform.
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Analysis of Vocal Disorders With Methods From Nonlinear Dynamics
Journal of speech and hearing research, 1994Co-Authors: Hanspeter Herzel, David A. Berry, Ingo R. Titze, Marwa M. SalehAbstract:Several authors have recently demonstrated the intimate relationship between Nonlinear Dynamics and observations in vocal fold vibration (Herzel, 1993; Mende, Herzel, & Wermke, 1990; Titze, Baken, & Herzel, 1993). The aim of this paper is to analyze vocal disorders from a Nonlinear Dynamics point of view. Basic concepts and analysis techniques from Nonlinear Dynamics are reviewed and related to voice. The voices of several patients with vocal disorders are analyzed using traditional voice analysis techniques and methods from Nonlinear Dynamics. The two methods are shown to complement each other in many ways. Likely physiological mechanisms of the observed Nonlinear phenomena are presented, and it is shown how much of the terminology in the literature describing rough voice can be unified within the framework of Nonlinear Dynamics.
