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]

• Type: ALGORITHMIC: Vitanyi 2003/03;

• 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]

• 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;

• 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]

• Aspect: UNIVERSALITY:
  • An introduction to universality and renormalization group techniques by Alessandro Sfondrini [2012/10]

• 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]

• 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: 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