Episode 7: Nonlinear Normal Modes

This episode features a stimulating discussion between Prof. Nataraj (host) and Prof. Steven Shaw.  Prof. Shaw is a Professor at Florida Tech in Melbourne, Florida, and is a prolific and noted scholar with many publications in nonlinear dynamics.  His work ranges over a number of diverse areas including fundamental physics, modeling, and design of resonant micro/nano-electro-mechanical systems, their applications in time-keeping and sensing, and in the dynamics and design of centrifugal pendulum vibration absorbers for rotating machinery, with automotive applications.  In this episode, we discuss an introduction to the concept of nonlinear normal modes as well as Steve's significant contribution to this topic.http://nodycast.org

This episode features Part 2 of a stimulating discussion between Dr. Nataraj (host) and Prof. Giuseppe Rega.  Prof. Rega is a Professor Emeritus at Sapienza University in Rome, Italy, and is a prolific and noted scholar with many publications in nonlinear dynamics.  His work ranges over a number of diverse areas including structural mechanics, controls and exploiting nonlinearity.  In this episode, we discuss the history of nonlinear dynamics, the current state of the art as well as possible future directions.  We laud many current developments but even complain about some directions!  The discussion is split into Parts 1 and 2.  Please check Episode 5 for Part 1.http://nodycast.org

This episode features Part 1 of a stimulating discussion between Dr. Nataraj (host) and Prof. Giuseppe Rega.  Prof. Rega is a Professor Emeritus at Sapienza University in Rome, Italy, and is a prolific and noted scholar with many publications in nonlinear dynamics.  His work ranges over a number of diverse areas including structural mechanics, controls and exploiting nonlinearity.  In this episode, we discuss the history of nonlinear dynamics, the current state of the art as well as possible future directions.  We laud many current developments but even complain about some directions!  The discussion is split into Parts 1 and 2.  Please tune in to Episode 6 for Part 2.http://nodycast.org

This is the fourth episode of Nodycast, the podcast on nonlinear dynamics and is the second of two parts.  In this episode (Part 2) we continue to discuss chaos theory.  We have an expert panel: Dr. Celso Grebogi (University of Aberdeen, UK), Dr. Laura Gardini (University of Urbino, Italy), Dr. Stefano Lenci (Polytechnical University of Marche, Italy) and Dr. C. Nataraj (Villanova University, USA).  We discuss the history of chaos theory, significant developments, chaos control, unsolved problems, intersection with different fields such as machine learning, Special Issue of the Nonlinear Dynamics journal, etc.  Also discussed are suggestions for possible research in the future.  The conversation is quite broad and even wanders into areas such as literature, history and philosophy.http://nodycast.org

This is the third episode of Nodycast, the podcast on nonlinear dynamics and is the first of two parts.  In this episode (Part 1) we discuss chaos theory.  We have an expert panel: Dr. Celso Grebogi (University of Aberdeen, UK), Dr. Laura Gardini (University of Urbino, Italy), Dr. Stefano Lenci (Polytechnical University of Marche, Italy) and your host, Dr. C. Nataraj (Villanova University, USA).  We discuss the history of chaos theory, significant developments, chaos control, unsolved problems, intersection with different fields such as machine learning, Special Issue of the Nonlinear Dynamics journal, etc.  Also discussed are suggestions for possible research in the future.  The conversation is quite broad and even wanders into areas such as literature, history and philosophy!http://nodycast.org

This is the second episode of Nodycast, the podcast on nonlinear dynamics and has been split into two parts.  In this episode (Part 2) we continue to discuss nonlinear modeling and dynamic analysis of pandemics, in particular, COVID-19.  We have an expert panel: Dr. Gergely Rost (University of Szeged, Hungary), Dr. Bala Balachandran (University of Maryland), Dr. J. Tenreiro Machado (University of Porto, Portugal) and Dr. C. Nataraj (Villanova University, USA).  We discuss compartment vs. agent-based models, parametric vs. data-based models, seasonality, predictability, control techniques, effect of social behavior, government action, etc.  Also discussed are the issues about data and possible research in the future.   http://nodycast.org

This is the premier episode of Nodycast, the podcast on nonlinear dynamics and has been split into two parts.  In this episode (Part 1) we discuss nonlinear modeling and dynamic analysis of pandemics, in particular, COVID-19.  We have an expert panel: Dr. Gergely Rost (University of Szeged, Hungary), Dr. Bala Balachandran (University of Maryland), Dr. J. Tenreiro Machado (University of Porto, Portugal) and Dr. C. Nataraj (Villanova University, USA).  We discuss compartment vs. agent-based models, parametric vs. data-based models, seasonality, predictability, control techniques, effect of social behavior, government action, etc.  Also discussed are the issues about data and possible research in the future.  http://nodycast.org