Research
Interests
Cryptography
- Monitoring and Speeding up Chaotic Synchronization
- Breaking
on Super Key code
- Separation
of the components of a mixture of a signal and more than 30 independent
chaotic signals
Biology
- Model of Pathogenesis
- Search
for Prognosis factor (not yet successful)
- What
is and is not in our genes (delusion?)
- Improved state space portraits for ECG and EEG
- Simple model equations for EEG under epilepsy
- Isolation of Heart Dynamics from the Brain Dynamics
Enhancement
of images
- Melding of Partially Overlapping Pixelized Images
- Application of “Julia set topology ” to Create and enhance
- Low topological entropy images and Noise removal from Images
Data
Processing
- Very large Noise Reduction using Topological methods
- Leakage Correction and Overcoming the Nyquist Criterion
Theoretical
Analysis
- Generating Maps and Flows from each other.
- Extended Differential Equations and their Applications
- Complexification and it applications (Equations from data)
System
Identification
- Highly accurate identification of the parameters of a nonlinear Equation.
- Applied to Duffing’s Equation
- Applied to Cryptography
Pictures
from Data
- Heart Signals
- Speech Signals
- Brain Signals
Equations
from Data
- ECG
- Extraction of Autonomous Dynamics from Data obtained from a
- Pulsed System (e.g. heart)
