The Net Advance of Physics:
CHAOS
CHAOS:
See also
History of Chaos Theory
General: Introductory:
What is Chaos?: a five-part online course for everyone
by Matthew A. Trump [UT Austin]
Chaos Theory: A Brief Introduction
by Greg Rae [Imho.com]
The New Science of Complexity
by J. L. McCauley [
Discr. Dyn. Nat. Soc. 1
, 17 (1997)]
General: Textbooks:
Chaos: Classical and Quantum
by Predrag Cvitanovic et al. [Frequently updated]
General
(See also
DETERMINISM
):
Bellissard et al. 99/03;
Wikipedia
Classical Chaos and its Quantum Manifestations
by J. Bellissard et al. [
Physica D 131
, 1 (1999)]
Dynamical Systems, Stability, and Chaos
by R. Ball and P. Holmes [2006/01]
From Deterministic Chaos to Deterministic Diffusion
by Rainer Klages [2008/04]
Major open problems in chaos theory and nonlinear dynamics
by Y. Charles Li [2013/05]
Understanding Chaos via Nuclei
by Pavel Cejnar and Pavel Stránský [2013/08]
The exponential map is chaotic: An invitation to transcendental dynamics
by Zhaiming Shen and Lasse Rempe-Gillen [2014/08]
Chaos for continuous interval maps - a survey of relationship between the various kinds of chaos
by Sylvie Ruette [2015/04]
A Visual Introduction to Nonlinear Systems: Chaos, Fractals, and the Limits of Prediction
by Geoff Boeing [2016/08]
Type: ALGORITHMIC:
Vitanyi 2003/03;
Type: MESOSCOPIC:
Mesoscopic transport and chaos
by Rodolfo A. Jalabert [
Scholarpedia 11
, 30946 (2016)]
Type: QUANTUM:
Manfredi and Salasnich 99/06;
Some open questions in "wave chaos"
by Stéphane Nonnenmacher [2008/05]
Recent developments in mathematical Quantum Chaos
by Steve Zelditch [2009/11]
Quantum chaos: an introduction via chains of spins-1/2
by Aviva Gubin and Lea F. Santos [2011/06]
Mesoscopic transport and chaos
by Rodolfo A. Jalabert [
Scholarpedia 11
, 30946 (2016)]
Chaos and Thermalization in Small Quantum Systems
by Anatoli Polkovnikov and Dries Sels [
Science 353
, 752 (2016)]
Type: QUANTUM: Aspects:
SCARRING;
Type: QUANTUM: Re: EIGENFUNCTIONS:
Bäcker 2002/04;
Type: QUANTUM: Re: MANY-BODY SYSTEMS:
Many-Body Physics and Quantum Chaos
by Denis Ullmo [2007/12]
Type: QUANTUM: Re: RIEMANN ZETA FUNCTION:
Riemann zeta function and quantum chaos
by Eugene Bogomolny [2006/09]
Type: QUANTUM: Re: STATISTICAL MECHANICS:
Izrailev 99/11;
Type: QUANTUM: Re: SYMMETRY:
Of symmetries, symmetry classes, and symmetric spaces: from disorder and quantum chaos to topological insulators
by Martin R. Zirnbauer [
Physik Journal 11
, 41 (2012)]
Aspect: FEIGENBAUM'S NUMBER:
An introduction to universality and renormalization group techniques
by Alessandro Sfondrini [2012/10]
Aspect: LYAPUNOV EXPONENTS:
The Lyapunov Characteristic Exponents and their computation
by Charalampos Skokos [2008/11]
A short survey on Lyapunov dimension for finite dimensional dynamical systems in Euclidean space
by G. A. Leonov and N. V. Kuznetsov [2015/10]
Aspect: UNIVERSALITY:
An introduction to universality and renormalization group techniques
by Alessandro Sfondrini [2012/10]
Re: ADVECTION:
Frontiers of chaotic advection
by Hassan Aref et al. [2014/03]
Re: ASTROPHYSICS:
Chaos and complexity in astrophysics
by Oded Regev [Springer Ecyclopedia of Complexity and System Science]
Re: ATMOSPHERIC SCIENCE:
Nonlinear Dynamics and Chaos: Applications in Atmospheric Sciences
by A. M. Selvam [2010/06]
Re: CONDENSED MATTER PHYSICS:
NET ADVANCE SPECIAL BIBLIOGRAPHY Melikidze;
Re: COSMOLOGY: STRING COSMOLOGY:
Damour 2002/04;
Re: DIFFUSION:
From Deterministic Chaos to Deterministic Diffusion
by Rainer Klages [2008/04]
Re: ENTANGLED STATES:
Entanglement, randomness and chaos
by Giuliano Benenti [2008/07]
Re: FLUID FLOW:
Gallavotti 97/12;
Chaos in Partial Differential Equations, Navier-Stokes Equations and Turbulence
by Y. Charles Li [2007/12]
Chaotic Lagrangian transport and mixing in the ocean
by S. V. Prants [
European Physical Journal Special Topics 223
, 2723 (2014)]
Re: FLUID FLOW: TURBULENCE:
Ross 95+;
Chaos in Partial Differential Equations, Navier-Stokes Equations and Turbulence
by Y. Charles Li [2007/12]
Re: HYDROGEN ATOM:
Manfredi and Salasnich 99/06;
Re: KINETIC THEORY:
Dorfman 97/12;
Re:
NETWORKS:
Synchronization of Coupled Chaotic Dynamics on Networks
by R. E. Amritkar and Sarika Jalan [
Pramana 64
, 455 (2005)]
Re: LASERS:
Physics and Applications of Laser Diode Chaos
by Marc Sciamanna and K. Alan Shore [
Nature Photonics 9
, 151 (2015)]
Re: NUCLEAR PHYSICS:
Understanding Chaos via Nuclei
by Pavel Cejnar and Pavel Stránský [2013/08]
Re: OCEAN:
Chaotic Lagrangian transport and mixing in the ocean
by S. V. Prants [
European Physical Journal Special Topics 223
, 2723 (2014)]
Re: PARTIAL DIFFERENTIAL EQUATIONS:
Chaos in Partial Differential Equations, Navier-Stokes Equations and Turbulence
by Y. Charles Li [2007/12]
Chaos in Partial Differential Equations
by Y. Charles Li [2009/09]
Re: PLANETARY MOTION:
Lecar et al. 2001/11;
Re: QUANTUM DOTS:
Alhassid 2001/02;
Re: RANDOM MATRICES:
Guhr et al. 97/07;
Resonance Scattering of Waves in Chaotic Systems
by Y. V. Fyodorov and D. V. Savin [2010/03]
Re: TUNNELING:
Tomsovic 2000/08;
THE NET ADVANCE OF PHYSICS