The Net Advance of Physics:
NONLINEAR DYNAMICS

NONLINEAR SCIENCE:

• Aspects: CHAOS; COMPLEXITY; DISORDERED SYSTEMS; FRACTALS; IRREVERSIBILTY; KdV EQUATION; NON-EQUILIBRIUM DYNAMICS; NON-LINEAR OPTICS;

• Aspects: BENFORD'S LAW:
  • A brief survey of Benford's Law in dynamical systems by A. Berger and T. P. Hill [2025/01]

• Aspects: EXCITABLE SYSTEMS:
  • Modeling Excitable Systems by Jarrett L. Lancaster and Edward H. Hellen [2008/07]

• Aspects: INTEGRABLE SYSTEMS:
  • Lectures on Nonlinear Integrable Equations and Their Solutions by Anton Zabrodin [2018/12]

• Aspects: NON-LINEAR TIME-SERIES ANALYSIS: Borg 2005/03;

• Aspects: NON-LINEAR QUANTUM MECHANICS: Svetlichny 2004/10;

• Aspect: PARTIAL DIFFERENTIAL EQUATIONS:
  • Symmetry and Integrability of Classical Field Equations by Costas J. Papachristou [2008/03]
  • The one-dimensional KPZ equation and its universality class by Jeremy Quastel and Herbert Spohn [2015/03]
  • An appetizer to modern developments on the Kardar-Parisi-Zhang universality class by Kazumasa A. Takeuchi [Physica A 504, 77 (2018)]
  • Steady and Stable: Numerical Investigations of [error analysis of] Nonlinear Partial Differential Equations by R. Corban Harwood [2018/02]

• Aspects: TODA LATTICE:
  • Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint by Yuji Kodama and Barbara Shipman [2018/02]
  • Lectures on Nonlinear Integrable Equations and Their Solutions by Anton Zabrodin [2018/12]

• Re: ATMOSPHERIC SCIENCE:
  • Nonlinear Dynamics and Chaos: Applications in Atmospheric Sciences by A. M. Selvam [2010/06]

• Re: DIFFUSION:
  • Nonlinear Diffusion Processes: Geometric Ideas and Beyond by Eduardo V. Teixeira [2018/08]
  • Analytic Approaches of the Anomalous Diffusion: A Review by Maike A. F. dos Santos [2019/05]
  • Linear and Nonlinear Fractional Diffusion by Juan Pablo Borthagaray et al. [2019/06]

• Re: DIFFERENTIAL EQUATIONS:
  • A brief introduction to the Adomian decomposition method, with applications in astronomy and astrophysics by M. K. Mak et al. [2021/02]

• Re: TWISTORS:
  • Twistor Theory and Differential Equations by Maciej Dunajski [2009/02]

THE NET ADVANCE OF PHYSICS