Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of NatureAshok Sengupta Springer Science & Business Media, 25/09/2006 - 358 من الصفحات I think the next century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don’t know how the laws ?t together, and what happens under extreme conditions. But I expect we will ?nd a complete uni?ed theory sometime this century. There is no limit to the complexity that we can build using those basic laws. Stephen Hawking, January 2000. We don’t know what we are talking about. Many of us believed that string theory was a very dramatic break with our previous notions of quantum theory. But now we learn that string theory, well, is not that much of a break. The state of physics today is like it was when we were mysti?ed by radioactivity. They were missing something absolutely fundamental. We are missing perhaps something as profound as they were back then. Nobel Laureate David Gross, December 2005. This volume is essentially a compilation of papers presented at the Int- national Workshop on Mathematics and Physics of Complex and Nonlinear Systems that was held at Indian Institute of Technology Kanpur, March 14 – 26, 2004 on the theme ChaNoXity: The Nonlinear Dynamics of Nature. |
المحتوى
Chaos Periodicity and Complexity on Dynamical Systems | 1 |
Foundations of Nonextensive Statistical Mechanics | 53 |
Critical Attractors and the Physical Realm of qstatistics | 72 |
NonBoltzmannian Entropies for Complex Classical | 114 |
Network Traffic | 162 |
The Role of Chaos and Resonances in Brownian Motion | 179 |
Models of Finite Bath and Generalised Thermodynamics | 207 |
A Paradigm Shift | 247 |
A Unified Perspective | 270 |
353 | |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
appear applications attractor becomes behavior bifurcation black hole canonical chaos chaotic complex connection consider constant continuous convergence corresponding critical defined definition dependence derived described determined different direction discussed distribution dynamics effect elements emergence energy ensemble equal equation equilibrium equivalent event evolution example exists expression first fluctuations forces function given heat horizon increasing initial interaction irreversible iterates leadership leads limit linear mean measure metric motion natural nonlinear observed obtained orbits organizations parameter particle partition periodic phase Phys physical positive possible preserving principle probability production properties Proposition quantum relation Renyi Renyi entropy represents requires respect result self-organization sequence space stable statistical mechanics structure takes temperature Theorem theory thermodynamic tion topology trajectories transformation transition Tsallis entropy University variables