Introduction to Modern Dynamics Chaos, Networks, Space, and Time

David D. Nolte, Professor of Physics, Department of Physics and Astronomy, Purdue University, Indiana, USA

David D. Nolte is a Professor of Physics at Purdue University and is an internationally recognized researcher in laser photonics. He received his baccalaureate from Cornell University and his PhD from the University of California at Berkeley. He is the author of over 160 journal papers, has secured 14 US patents in applied optics and biophotonics, and is the technical founder of two small start-up companies: Perfinity, Inc., a molecular diagnostics company, and Animated Dynamics LLC, a cancer therapeutics company, both located in West Lafayette, IN. David is a Fellow of the Optical Society of America, a Fellow of the American Physical Society and a Fellow of the American Association for the Advancement of Science. He was a Research Fellow of the Alfred P. Sloan Foundation, and a Presidential Young Investigator of the National Science Foundation. In 2005 he received the Herbert Newby McCoy Award, which is the highest scientific honor awarded by Purdue University.

Part 1: Geometric Mechanics
1. Physics and Geometry
2. Lagrangian Mechanics
3. Hamiltonian Dynamics and Phase Space
Part 2: Nonlinear Dynamis
4. Nonlinear Dynamics and Chaos
5. Hamiltonian Chaos
6. Coupled Oscillatros and Synchronization
Part 3: Complex Systems
7. Network Dynamics
8. Evolutionary Dynamics
9. Neurodynamics and Neural Networks
10. Economic Dynamics
Part 4: Relativity and Space-Time
11. Metric Spaces and Geodesic Motion
12. Relativistic Dynamics
13. The General Theory of Relativity and Gravitation