Prabhakar Vaidya
Professor, Mathematical Modelling Unit National Institute of Advanced Studies Indian Institute of Science Campus Bangalore 560012 India
Telephone: 91-80-2360 4351
Fax: 91-80-2360 6634
Telex: 0845-8349 IISC IN
Email: [email protected]
Qualifications Ph. D. (Acoustics, Institute of Sound and Vibrations Research, University of Southampton, England )
Areas of interest Nonlinear Dynamics and Chaos, Advanced Signal Processing, Cryptography, Application of Mathematics to Biological Sciences.
Milestones in career Lockheed, Boeing, Purdue and Washington State University, NASA fellowships at Langley and Ames, Center for Mathematical Modelling and Computer Simulation in Bangalore.
Major works Transmission of Sonic Booms, Supersonic Fan Noise, modelling of Pathogenesis, Chaotic Synchronization and Invention of Chaotic Cryptography, Advanced Signal processing
Recent Publications P.G. Vaidya, "Preliminary case for a hypothesis of the superconscious''. In: Science and Beyond: Cosmology, consciousness and technology in the Indic traditions, eds. Sangeetha Menon, B V Sreekantan, Anindya Sinha, Philip Clayton, R Narasimha. National Institute of Advanced Studies, Bangalore, 2004 P. G. Vaidya and Savita Angadi, "A method to enhance noise reduction for data generated from a known differential equation", Progress of Theoretical Physics Supplement No. 150, 469-472 (2003) P. G. Vaidya and Savita Angadi, "A computational procedure to generate a difference equations from differential equations and its applications", "New Progress in Difference Equations", The Proceedings of the 6th ICDEA in Augsburg (2003) pp. 537-547 P. G. Vaidya and Savita Angadi, "Cryptanalysis and chaotic cryptography", National workshop on Cryptology, Chennai, October (2003) P.G. Vaidya, "Monitoring and speeding up of chaotic synchronization", Chaos, Solitons and Fractals 17/2-3:433-439, July, (2003) P.G. Vaidya and Savita Angadi, "Decoding Cryptography based on Chaotic Synchronization, without an access to the Super key", Chaos, Solitons and Fractals 17/2-3:379-386 July (2003) Rong He and P. G. Vaidya, " Time Delayed Chaotic Systems and their Synchronization" Physical Review E 59:4048-4051, April (1999) P. G. Vaidya, " The geometry and Nonlinear Dynamics of Pathogenesis, Sadhana 24(1&2)::53-71 February (1999) International Conferences
P G Vaidya, "Reduction of noise from an experimental data set, using noise free samples from the same source", Experimental Chaos Conference 8, June 14-17, 2004, Florence, Italy
P G Vaidya, "Obtaining Low-Dimensional Autonomous Equations from ECG and EEG Data", Experimental Chaos Conference 8, June 14-17, 2004, Florence, Italy
P G Vaidya, "Synchronizability of stable limit cycles under the influence of small disturbances", Experimental Chaos Conference 8, June 14-17, 2004, Florence, Italy
P G Vaidya, "Synchronizability of heart cells, analysis and feedback control of complex systems", Central Electronics Laboratory, Research Center Juelich, June 22, 2004, Germany
P G Vaidya, "Some speculations on the dynamics of heart attacks", Institute of Sound and Vibrations Research, University of Southampton, 2nd July, 2004, England
P G Vaidya, "Some ideas about data compression and noise reduction in signal and image processing", Institute of Sound and Vibrations Research, University of Southampton, 2nd July, 2004, England
P.G. Vaidya, "An explicit procedure to derive an autonomous two - dimensional ordinary differential equation for a periodic orbit", Equadiff 2003 - International conference on differential equations, July 22 - 26, 2003, LUC Diepenbeek, Hasselt, Belgium.
P.G.Vaidya, " Separating a mixture of a large number of chaotic signals and noise", June 30 - July 4 2003, Summer school on dynamical systems and July 7 - July 11 2003, Recent trends in dynamics 2003, Porto, Portugal
P.G.Vaidya, "Whitney embedding theorem and the transspectral coherence and phase resonance in DFT", SDS 2003, June 22 - 25 2003, Capitolo - Momopoli, Bari, Italy.
P.G. Vaidya and Savita Angadi, "Accurate Derivative Embedding for ECG Data" at 6th International Conference on Experimental Chaos 2002, 22 - 26 July 2002, Potsdam, Germany 2002.
P.G. Vaidya, T.R. Shridhar, Savita Angadi, Anand Vaidya, "Use of Derivative Embedding to Assist Speaker Recognition", at 6th International Conference on Experimental Chaos 2002, 22 - 26 July 2002, Potsdam, Germany 2002.
P.G. Vaidya and Savita Angadi, "A method to enhance noise reduction for data generated from a known differential equation", 5th International Summer school / Conference "Let's face Chaos through Nonlinear Dynamics" at the University of Maribor, 30 June - 14th July 2002, Slovenia.
P.G. Vaidya and Savita Angadi,, "Nonlinear Dynamics of pathogenesis and prognosis factor" 5th International Summer school / Conference "Let's face Chaos through Nonlinear Dynamics" at the University of Maribor, 30 June - 14th July 2002, Slovenia.
P.G. Vaidya and V. Kannan, "Proof of the existence of Nonergodic Wandering Orbits in the Tent and Related Maps", at 6th International Conference on Difference Equations and Applications, July 30 - August 3, 2001, University of Augsburg, Germany.
P.G. Vaidya and Savita Angadi, "A Computational Procedure to generate Difference Equations from Differential Equation and its Applications" at 6th International Conference on Difference Equations and Applications, July 30 - August 3, 2001, University of Augsburg, Germany.
P.G. Vaidya and Savita Angadi, "Decoding Cryptography based on Chaotic Synchronization, without an access to the Super Key" at Applied Nonlinear Dynamics Conference (From semiconductors to Information Technologies) 27 - 30 August 2001, Thessaloniki, Greece.
P.G. Vaidya, "Monitoring and speeding up of Chaotic Synchronization", at Applied Nonlinear Dynamics Conference (From Semiconductors to Information Technologies) 27 - 30 August 2001, Thessaloniki, Greece.
National Conferences
P.G. Vaidya, V. Kannan and Savita Angadi, "Some Applications of "Julia - like sets", National conference on Julia Sets, 19 - 21 December 2002, University of Hyderabad, India.
P.G. Vaidya, "Past and Future of Chaos", National conference on Julia Sets, 19 - 21 December 2002, University of Hyderabad, India.
P.G. Vaidya and Savita Angadi, "A method to enhance noise reduction for data generated from a known differential equation", ISSMMACS conference on Mathematical Modelling and Computer Simulation, organized by Indian Society for Mathematical Modelling and Computer Simulation and CSIR center for mathematical modelling and computer simulation, 14 - 15th November 2002, Bangalore, India.
P.G. Vaidya, "An information theoretic approach to the issues of collective unconscious and the super conscious", National conference on Yoga and Indian Approaches to Psychology, Pondicherry, Sri Aurobindo center for consciousness studies, September 29 - October 1, 2002, Pondicherry, India.
Prabhakar Vaidya, Savita Angadi, Pierre Mazzega, R. Narasimha, "The extended Differential Equations and their applications to fundamental problems of mathematical modelling", October 2000, NEERI, Nagpur, India.
Lectures Given