This article is cited in 2 papers

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Equation on the basis of one-dimensional chaotic dynamics

D. B. Volov

Samara State Transport University

Abstract: Modified Klein–Gordon–Fock equations were obtained on the basis of one-dimensional chaotic dynamics and the original Lagrangians were found. The concepts of $m$-exponential map and groups with broken symmetry are introduced. A system of bitrial orthogonal functions is considered.

Keywords: one-dimensional chaotic dynamics, Klein–Gordon equation, Lagrangian, exponential map, algebra, orthonormal systems.

UDC: 51-72:512.54

MSC: Primary 37J15; Secondary 03C05, 37D45

Original article submitted 15/XI/2012
revision submitted – 13/II/2013

DOI: 10.14498/vsgtu1175

Bibliographic databases:

• 
• 
•